TS 10th Class Maths Bits Chapter 14 Statistics

Solving these TS 10th Class Maths Bits with Answers Chapter 14 Statistics Bits for 10th Class will help students to build their problem-solving skills.

Statistics Bits for 10th Class

Question 1.
Write upper limit of 20 – 25
A) 22.5
B) 20
C) 25
D) 45
Answer:
C) 25

Question 2.
Write lower limit of 4 – 11
A) 7
B) 4
C) 7 – 5
D) 11
Answer:
B) 4

Question 3.
What is the mid value 35 – 45
A) 40
B) 35
C) 45
D) 10
Answer:
A) 40

Question 4.
The most frequently used measure of central tendency
A) Median
B) Mode
C) Mean
D) None of these
Answer:
C) Mean

Question 5.
The value of among the observation which occurs most frequently is called
A) Median
B) Mode
C) Mean
D) None of these
Answer:
B) Mode

Question 6.
The width of the class interval 20 – 30 is
A) 10
B) 20
C) 30
D) 25
Answer:
A) 10

Question 7.
Which is the better measure of central tendency when individual observations are not important
A) Mean
B) Mode
C) Median
D) None of these
Answer:
C) Median

Question 8.
Which measure of central tendency is given by the x – coordinate of the point of intersection of the more than ogive and less than ogive
A) Mean
B) Median
C) Mode
D) Weighteel mean
Answer:
B) Median

Question 9.
The A.M of first n natural numbers is
A) \(\frac{\mathrm{n}}{2}\) + 1
B) \(\frac{\mathrm{n}-1}{2}\)
C) \(\frac{\mathrm{n}+1}{2}\)
D) \(\frac{\mathrm{n}}{2}\)
Answer:
C) \(\frac{\mathrm{n}+1}{2}\)

Question 10.
Which of the following is not a measure of’ central tendency
A) standard deviation
B) mode
C) median
D) mean
Answer:
A) standard deviation

Question 11.
If the mean of 4, x, 6, 9, 9, y and 13 is 8 then
A) x + y = 15
B) x – y = 16
C) xy = 16
D) x + y = 8
Answer:
A) x + y = 15

Question 12.
The mean of first ‘n’ odd natural number is
A) \(\frac{\mathrm{n}}{2}\)
B) n
C) n²
D) \(\frac{\mathrm{n}+1}{2}\)
Answer:
B) n

Question 13.
If the mean of the first n natural numbers is 11 then n =
A) 11
B) 12
C) 9
D) 21
Answer:
D) 21

Question 14.
The median of the first 8 prime numbers is
A) 7
B) 11
C) 9
D) 5
Answer:
C) 9

Question 15.
If the median of the data 15, 16, 17, 2x + 4, 3x – 2, 21, 22 written in ascending order is 18.5 then x
A) 6
B) 5
C) 8
D) 7
Answer:
D) 7

Question 16.
The empirical relationship between mean, median and mode is
A) Mode = 3 median – 2 mean
B) Mode = 2 median – 3 mean
C) Mode = 3 median + 2 mean
D) Mode = 2 median + 3 mean
Answer:
A) Mode = 3 median – 2 mean

Question 17.
If 35 is removed from the data; 30, 34, 35, 36, 37, 38, 39, 40 the median is increased by
A) 0.5
B) 1
C) 1.5
D) 3
Answer:
A) 0.5

Question 18.
The median and mean of a distribution of 29 and 32 respectively then mode
A) 25.5
B) 23
C) 18
D) 30.5
Answer:
B) 23

Question 19.
The mode of the distribution 2, 5, 7, 4, 5, 6, 5, 4, 3 is
A) 4
B) 6
C) 5
D) 3
Answer:
C) 5

Question 20.
The median of the observations 15, 12, 14, 20, 16, 10 is
A) 14
B) 15
C) 13.5
D) 14.5
Answer:
D) 14.5

Question 21.
The mid value of the class 10 – 19 is
A) 9
B) 10
C) 14.5
D) 29
Answer:
C) 14.5

Question 22.
Mid value of the class is used to calculate
A) A.M.
B) Median
C) Mode
D) None of these
Answer:
C) Mode

Question 23.
The mean of x – 1, x and x + 1 is
A) 3x
B) x
C) \(\frac{3 x-1}{3}\)
D) \(\frac{3 x+1}{3}\)
Answer:
B) x

Question 24.
If mean = x; median = y then mode
A) \(\frac{x+y}{2}\)
B) 3y – 2x
C) 2y – 3x
D) \(\frac{x}{2}\) + \(\frac{y}{3}\)
Answer:
B) 3y – 2x

Question 25.
The median of the observation 3, 18, 6, 16, 12 and 10 is
A) 11
B) 10
C) 12
D) 13
Answer:
A) 11

Question 26.
If mean of 8, 6, 4, x, 3, 6 and 0 is 4 then the value of x = ……………. (A.P. Mar. ’15)
A) 7
B) 6
C) 1
D) 4
Answer:
C) 1

Question 27.
The extreme values of some data influences high on ……………. (A.P. Mar. ’15)
A) AM
B) Median
C) Mode
D) Range
Answer:
A) AM

Question 28.
In a data ‘n’ scores are given and if ‘n’ is odd, then median is ……………. (A.P. Mar. ’15)
A) \(\left(\frac{n+1}{2}\right)^{\text {th }}\) event
B) n^th event
C) \(\left(\frac{n-1}{2}\right)^{\text {th }}\) event
D) (n – 1)^th event
Answer:
A) \(\left(\frac{n+1}{2}\right)^{\text {th }}\) event

Question 29.
The class mark of 10 – 25 is …………… (A.P. June. ‘ 15)
A) 10
B) 25
C) 17.5
D) 17
Answer:
C) 17.5

Question 30.
Mode of the data 5, 3, 4, -2, 3, 2, 2, 1, P is 3 then the value of ‘p’ = ……………… (A.P. June. ’15)
A) 2
B) 5
C) -2
D) 3
Answer:
D) 3

Question 31.
Class interval of the class 11 – 20 is …………………. (A.P. Mar. ’16 ) (A.P. June.’15)
A) 9
B) 10
C) 11
D) 20
Answer:
B) 10

Question 32.
The AM of the data 8, 6, 4, x, 3, 6, 0 is 4 then the value of x = …………… (A.P. Mar. ’16)
A) 7
B) 6
C) 1
D) 4
Answer:
C) 1

Question 33.
Mean of 1, 2, x, 3 is ‘0’ then the value of x = ……………. (A.P. Mar. ’16)
A) 6
B) -6
C) 3
D) -3
Answer:
B) -6

Question 34.
If the sum of 15 observations is 420 then their mean = …………… (A.P. Mar. ’16 )
A) 28
B) 26
C) 24
D) 30
Answer:
A) 28

Question 35.
In “more than ogive curve” we consider in drawing ………………. (A.P. Mar. ’15 )
A) more than cumulative frequency, lower limits
B) more than cumulative frequency, upper limits
C) lower than cumulative frequency, lower limits
D) lower than cumulative frequency, upper limits
Answer:
A) more than cumulative frequency, lower limits

Question 36.
Observe the following tables. (T.S. Mar. ’15 )

1) Class Interval	Frequency	Class mark
	(f)	(x)	fx

 

2) Class Interval	Frequency	Lower limit
	(f)	(x)	fx

For finding Arithmetic Mean by Direct method, the suggested frequency distribution table is ……………..
A) Only (1) is true
B) Only (2) is true
C) (1) and (2) are true
D) None of the above.
Answer:
A) Only (1) is true

Question 37.
If \(\overline{\mathrm{x}}\), is the mean of x₁, x₂, x₃, ………….. x_n (n items) then \(\sum_{i=1}^n\)(x₁ – \(\overline{\mathrm{x}}\)) = ……………….. (T.S. Mar. ’16 )
A) 0
B) n\(\overline{\mathrm{x}}\)
C) \(\frac{\overline{\mathrm{x}}}{\mathrm{n}}\)
D) \(\frac{2 \overline{\mathrm{x}}}{\mathrm{n}}\)
Answer:
A) 0

Question 38.
Mode can be calculated by = l + \(\left(\frac{f_1-f_0}{2 f_1-f_0-f_2}\right)\) × h here f₁ represents ………………. (T.S. Mar. ’16)
A) frequency of the modal class
B) frequency of class preceding modal class
C) frequency of class succeeding in the modal class
D) cumulative frequency of the class preceding the modal class
Answer:
A) frequency of the modal class

Question 39.
If the mode of (X > 0) is 5 then X = \(\frac{\mathrm{x}}{4}\), x, \(\frac{\mathrm{x}}{5}\), \(\frac{\mathrm{x}}{6}\), \(\frac{\mathrm{x}}{4}\)
A) 20
B) 10
C) 15
D) 8
Answer:
A) 20

Question 40.
If 20 is removed from the data 20, 24, 25, 26, 27, 28, 29, 30 then the median is increased by
A) 1
B) 1.5
C) 0.5
D) 2
Answer:
C) 0.5

Question 41.
Which of the following measure of central tendency is mostly effected by the extreme?
A) Mean
B) Median
C) Mode
D) Range
Answer:
B) Median

Question 42.
Match the following
1) Mean of first 10 natural numbers  ( )   p) 4.5
2) Median of first 10 whole numbers ( )  q) 5.5
3) Mode of first 10 natural numbers  ( )   r) does not exist

1) 1 → r, 2 → p, 3 → q
2) 1 → q, 2 → p, 3 → r
3) 1 → p, 2 → r, 3 → q
4) 1 → q, 2 → r, 3 → p
Answer:
2) 1 → q, 2 → p, 3 → r

Question 43.
The middle most value of a data is called
A) Mean
B) Mode
C) Median
D) Both B and C
Answer:
B) Mode

Question 44.
If the mean of 4, X, 6,9, Y, 13 is 8 then the relation between X and Y is
A) X + Y = 16
B) X – Y = 16
C) XY = 16
D) 2X – 3Y = 16
Answer:
A) X + Y = 16

Question 45.
From the adjoining ‘ogive Curve, the value 15 represents

A) Mean
B) Mode
C) Median
D) Range
Answer:
C) Median

Question 46.
The symbol for implies is
A) ⇒
B) ⇔
C) ∀
D) ∃
Answer:
A) ⇒

Question 47.
Range of the data 16, 17, 15, 11, 18, 23, 10, 9, 10
A) 14
B) 13
C) 7
D) 13
Answer:
A) 14

Question 48.
The class marks of a class interval is …………….
A) Upper boundary + lower boundary
B) Upper boundary – Lower boundary
C) \(\frac{\text { Upper boundary }+\text { Lower boundary }}{2}\)
B) \(\frac{\text { Upper boundary }-\text { Lower boundary }}{2}\)
Answer:
C) \(\frac{\text { Upper boundary }+\text { Lower boundary }}{2}\)

Question 49.
If mode of the following data is 7, then the value of 6, 3, 5, 6, 7, 5, 8, 7, 6, 2k + 1, 9 7, 13 is
A) \(\frac{5}{2}\)
B) 3
C) 7
D) 5
Answer:
B) 3

Question 50.
Mode of the following distribution is

Class Interval	0-20	20-40	40-60	60-80
Frequency	15	6	18	10

A) 50
B) 56
C) 52
D) 54
Answer:
C) 52

Question 51.
The model class for the following distribution is

Marks	below 10	below 20	below 30	below 40	below 50	below 60
No. of Students	3	12	27	57	75	80

A) 40 – 50
B) 30 – 40
C) 50 – 60
D) 0 – 10
Answer:
B) 30 – 40

Question 52.
The lower limit of the modal class of the following data is

Class Interval	5-10	10-15	15-20	20-25	25-30	30-35
Frequency	5	15	6	10	14	9

A) 15
B) 25
C) 10
D) 5
Answer:
C) 10

Question 53.
Which of the following is not a measure of central tendency ?
A) Mean
B) Median
C) Range
D) Mode
Answer:
C) Range

Question 54.
For a symmetrical distribution, which is correct ?
A) Mean < Mode < Median
B) Mean > Mode > Median
C) Mode = \(\frac{\text { Mean }+\text { Median }}{2}\)
D) Mean = Median = Mode
Answer:
D) Mean = Median = Mode

Question 55.
The upper limit of median class of the following distribution is

Class Interval	0-5	6-11	12-17	18-23	24-29
Frequency	13	10	15	8	11

A) 17
B) 17.5
C) 18
D) 18.5
Answer:
C) 18

Question 56.
The measure of central tendency which take into account all data terms is
A) Mode
B) Mean
C) Median
D) None of these
Answer:
B) Mean

Question 57.
A data arrange in descending order has 25 observations. Which observation represents the median ?
A) 12^th
B) 13^th
C) 14^th
D) 15^th
Answer:
B) 13^th

Question 58.
Construction of cumulative frequency table is useful in determining the
A) Mean
B) Median
C) Mode
D) All the above
Answer:
B) Median

Question 59.
For a given data with 60 observations, the less than ogive’ and the more than ogive intersect at (66.5, 30). The median of the data is ……………..
A) 30
B) 66.5
C) 60
D) 36.5
Answer:
B) 66.5

Question 60.
For a given data with 50 observations the less than ogive’ and the more than ogive intersect at (15.5, 20). The median of the data is …………
A) 10.5
B) 4.5
C) 20
D) 15.5
Answer:
D) 15.5

Question 61.
The abscissa of the point of intersection of the less than type and ‘more than type’ cumulative frequency curves of a grouped data gives its ……………
A) Mean
B) Mode
C) Mode
D) None
Answer:
C) Mode

Question 62.
In the figure, the value of median of the data using the graph of less than ogive and more than ogive is
A) 5
B) 40
C) 80
D) 20

Answer:
D) 20

Question 63.
For a distribution with odd number (n) of observations, the median is ………… th observation.
A) \(\frac{\mathrm{n}}{2}\)
B) \(\frac{\mathrm{n}-1}{2}\)
C) \(\frac{\mathrm{n}+1}{2}\)
D) \(\frac{\mathrm{n}}{2}\) – 1
Answer:
C) \(\frac{\mathrm{n}+1}{2}\)

Question 64.
For a distribution with even number (n) of observations, the median is …………… terms
A) \(\frac{1}{2}\left[\frac{\mathrm{n}^{\text {th }}}{2}+\left(\frac{\mathrm{n}}{2}+1\right)^{\text {th }}\right]\)
B) \(\frac{1}{2}\left[\frac{\mathrm{n}}{2}-\frac{\mathrm{n}-1}{2}\right]\)
C) \(\frac{\mathrm{n}}{2}\) + \(\frac{\mathrm{n}+1}{2}\)
D) None
Answer:
A) \(\frac{1}{2}\left[\frac{\mathrm{n}^{\text {th }}}{2}+\left(\frac{\mathrm{n}}{2}+1\right)^{\text {th }}\right]\)

Question 65.
For a continuous grouped frequency distri¬bution, the median is given by
A) l + \(\left(\frac{\frac{n}{2}-f}{c}\right)\)h
B) l + \(\left(\frac{\frac{n}{2}-c f}{f}\right)\) × h
C) l² + \(\left(\frac{\frac{n}{2}+c f}{h}\right)\)
D) None
Answer:
B) l + \(\left(\frac{\frac{n}{2}-c f}{f}\right)\) × h

Question 66.
Class Marks of a class x – y is …………..
A) \(\frac{\mathrm{x}}{2}\)
B) \(\frac{\mathrm{x}}{2}\)
C) xy
D) \(\frac{x+y}{2}\)
Answer:
D) \(\frac{x+y}{2}\)

Question 67.
Mean of n-observations x₁, x₂, …., x_n repeated f₁, f₂, f₃, f_n times is ………….

Answer:
A

Question 68.
Mode of a continuous grouped distribution is …………..
A) l + \(\frac{\mathrm{f}_1-\mathrm{f}_0}{\left(\mathrm{f}_1-\mathrm{f}_0\right)+\left(\mathrm{f}_1-\mathrm{f}_2\right)}\) × h
B) l + \(\frac{\mathrm{f}_1-\mathrm{f}_0}{\mathrm{f}_1-\mathrm{f}_0}\) × h
C) l² + \(\frac{\mathrm{f}_1-\mathrm{f}_0}{\mathrm{f}_1-\mathrm{f}_0+\mathrm{f}_2}\) × h
D) None
Answer:
A) l + \(\frac{\mathrm{f}_1-\mathrm{f}_0}{\left(\mathrm{f}_1-\mathrm{f}_0\right)+\left(\mathrm{f}_1-\mathrm{f}_2\right)}\) × h

Question 69.
If assumed mean is ‘a’ then mean = …………….
A) a² + Σf_id_i
B) a + Σf_id_i
C) a – Σf_i
D) a + \(\frac{\Sigma \mathrm{f}_{\mathrm{i}} \mathrm{d}_{\mathrm{i}}}{\Sigma \mathrm{f}_{\mathrm{i}}}\)
Answer:
D) a + \(\frac{\Sigma \mathrm{f}_{\mathrm{i}} \mathrm{d}_{\mathrm{i}}}{\Sigma \mathrm{f}_{\mathrm{i}}}\)

Question 70.
Mode is the value of variate which occurs …………… number of times
A) 2
B) Maximum
C) minimum
D) None
Answer:
B) Maximum

Question 71.
If each observation of a data is increased by ‘a’ then mean is increases by …………
A) a²
B) a
C) \(\frac{a}{2}\)
D) a + 1
Answer:
B) a

Question 72.
If the mean of x₁, x₂, …………, x_n is \(\overline{\mathrm{x}}\) then the mean of \(\frac{x_1}{a}\), \(\frac{x_2}{a}\), ……….., \(\frac{x_n}{a}\) is …………
A) \(\frac{\overline{\mathrm{x}}}{a}\)
B) \(\frac{\mathrm{x}}{a}\) – 1
C) x – a
D) xa
Answer:
A) \(\frac{\overline{\mathrm{x}}}{a}\)

Question 73.
\(\frac{\text { Sum of observations }}{\text { Number of observations }}\) = ………
A) mode
B) median
C) scale
D) mean
Answer:
D) mean

Question 74.
Mean of 1, 2, 3., ………., n is …………….
A) \(\frac{\mathrm{n}}{2}\) – 1
B) \(\frac{\mathrm{n}}{2}\)
C) \(\frac{\mathrm{n}+1}{2}\)
D) none
Answer:
C) \(\frac{\mathrm{n}+1}{2}\)

Question 75.
A.M. of 23, 24, 24, 22, 10 is ……………
A) 21.6
B) 22.6
C) 12.6
D) 81.6
Answer:
B) 22.6

Question 76.
Mode of 1, 2, 3, ……….10, 10 is …………
A) 1
B) 0
C) no mode
D) 10
Answer:
D) 10

Question 77.
Mode of 5, 6, 9, 10, 6, 12, 3, 6, 11, 10, 4, 6, 7 is …………….
A) 8
B) 7
C) 6
D) 5
Answer:
C) 6

Question 78.
Mode of 20, 3, 7, 13, 3, 4, 6, 7, 19, 15, 7, 18, 2, 3 is …………..
A) 3, 7
B) 7, 10
C) 13, 3
D) none
Answer:
A) 3, 7

Question 79.
Mode of 0, 1, 2, 3, 3, 3, 7, is ………………..
A) 3
B) 0
C) 1
D) 9
Answer:
A) 3

Question 80.
Representing the data with the help of pictures is called …………..
A) data
B) pictograph
C) bar graph
D) none
Answer:
B) pictograph

Question 81.
Mid value of the class 10 – 20 is ……………
A) 13
B) 12
C) 10
D) 15
Answer:
D) 15

Question 82.
Histogram consists of ………….
A) rectangles
B) circles
C) triangles
D) none
Answer:
A) rectangles

Question 83.
Pie diagram consists of …………..
A) circles
B) sectors
C) rectangles
D) none
Answer:
B) sectors

Question 84.
Data having two modes is called ………… data.
A) unimodal
B) bimodal
C) trimodal
D) none
Answer:
B) bimodal

Question 85.
Mid values are used to calculate …………..
A) mean
B) mode
C) median
D) none
Answer:
A) mean

Question 86.
1 – 8, 9 – 16, 17 – 24, then C.I. = …………..
A) 12
B) 10
C) 9
D) 8
Answer:
D) 8

Question 87.
Range of 1, 2, 3, ………, 10 is …………..
A) 13
B) 12
C) 8
D) 9
Answer:
D) 9

Question 88.
Mean of 7, 6, 5, 0, 7, 8, 9 is ……………
A) 6
B) 8
C) 9
D) none
Answer:
A) 6

Question 89.
The mean of the following data is …………

X	5	10	15	20	25
f	3	10	25	7	5

A) 16.2
B) 15.1
C) 15.9
D) none
Answer:
B) 15.1

Question 90.
If mode of a distribution is 8 and its mean is then median is
A) 6.1
B) 18.2
C) 9
D) 8
Answer:
D) 8

Question 91.
If the mean of 10, 12, 18, 13, p and 17 is 15 then p = ………….
A) 20
B) 10
C) 30
D) 12
Answer:
A) 20

Question 92.
The mean of first five prime numbers is …………….
A) 8.1
B) 7.3
C) 6.5
D) 5.6
Answer:
D) 5.6

Question 93.
The median of the data 5, 3, 10, 7, 2, 9, 11, 2, 6 is ……………
A) 6
B) 2
C) 1
D) none
Answer:
A) 6

Question 94.
Mode of first ‘n’ natural numbers is ……………..
A) n – 1
B) n²
C) n + 1
D) no mode
Answer:
D) no mode

Question 95.
……………… is effected by extreme values.
A) Mean
B) Mode
C) Median
D) None
Answer:
A) Mean

Question 96.
Mean of -8, -4 and 4, 8 is …………….
A) -4
B) 8
C) 0
D) 7
Answer:
C) 0

Question 97.
Range of first 5 natural numbers is …………….
A) 9
B) 0
C) 5
D) 4
Answer:
D) 4

Question 98.
Empirical relation among mean, median and mode is …………….
A) mode = 3 median – 2 mean
B) mode = 2 median – mean
C) mode = 3 median – mean
D) all the above
Answer:
A) mode = 3 median – 2 mean

Question 99.
AM of 1², 2², 3²,4², ……….., 20² = ………….
A) 40
B) 50
C) 60
D) none
Answer:
D) none

Question 100.
Which of the following is not a measure of central tendency ?
A) mean
B) range
C) median
D) none
Answer:
B) range

Question 101.
A data has 13 observations arranged in descending order which observation represents the median of data ?
A) 17^th
B) 6^th
C) 7^th
D) none
Answer:
C) 7^th

Question 102.
The modal class in the following frequency distribution is ……………….

Class	Frequency
0-10	3
10-20	9
20- 30	15
30-40	30
40-50	18
50-60	5

A) 30 – 40
B) 40 – 50
C) 50 – 60
D) none
Answer:
A) 30 – 40

Question 103.
In the formula of mode in the ground data represents.
A) upper boundary
B) lower boundary
C) limit
D) lower limit of the class with highest frequency
Answer:
D) lower limit of the class with highest frequency

Question 104.
In an arranged series of an even number 2n terms the median is ……………
A) \(\frac{1}{2}\)(n + 1)^th
B) \(\frac{1}{2}\)(n^th and (n + 1)^th term)
C) \(\frac{1}{2}\)(n^th)
D) none
Answer:
B) \(\frac{1}{2}\)(n^th and (n + 1)^th term)

Question 105.
AM of 1, 2, x, 3 is 0 then x = ……………
A) -6
B) 6
C) 7
D) none
Answer:
A) -6

Question 106.
AM of first n odd numbers is …………..
A) 2n
B) n²
C) n/2
D) n
Answer:
D) n

Question 107.
Mean of 6, -4, \(\frac{2}{3}\), \(\frac{5}{4}\), \(\frac{7}{6}\) is …………
A) \(\frac{12}{7}\)
B) \(\frac{11}{4}\)
C) \(\frac{11}{20}\)
D) none
Answer:
C) \(\frac{11}{20}\)

Question 108.
The AM of 10 consecutive numbers starting with n + 1 is ……………
A) x + 5
B) x + 5.5
C) x – 5
D) none
Answer:
B) x + 5.5

Question 109.
x = 2p + q, M = p + 2q then Z = ……………
A) 4q – p
B) q – 4p
C) 4q + p
D) p – q
Answer:
A) 4q – p

Question 110.
The information collected is called ………….
A) median
B) mean
C) mode
D) data
Answer:
D) data

Question 111.
In a data mean = 72.5 and median = 73.9 then mode is …………..
A) 70.7
B) 69.1
C) 60.2
D) none
Answer:
D) none

Question 112.
Mode of any 3 consecutive numbers is ………….
A) x + 1
B) 4
C) 3
D) no mode
Answer:
D) no mode

Question 113.
……………. is based on all observations.
A) Mean
B) Median
C) Mode
D) None
Answer:
A) Mean

Question 114.
The mean of first 5 odd multiples of 5 is ………….
A) 25
B) 20
C) 35
D) 15
Answer:
A) 25

Question 115.
Median = 52.5, mean = 54, mode = ……………..
A) 48.5
B) 60.1
C) 49.5
D) 40.5
Answer:
C) 49.5

Question 116.
The mean of the following data is …………….

X	0-2	2-4	4-6	6-8	9-10	10-12	12-14
f	1	2	1	5	6	2	3

A) 9.4
B) 3.8
C) 6.3
D) 8.1
Answer:
D) 8.1

Question 117.
Mode = 24.5, mean = 29.75 then median …………….
A) 28
B) 16
C) 82
D) 20
Answer:
A) 28

Question 118.
Find the sum of lower limit of median class and upper limit of modal class is ……………

Class	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	1	3	5	9	7	3

A) 60
B) 40
C) 50
D) 90
Answer:
D) 90

Question 119.
…………… of all bars is same in bar graph.
A) width
B) length
C) circle
D) none
Answer:
A) width

Question 120.
The median class of the following distribution is ……………

X	0-10	10-20	20-30	30-40	40-50	50-60	60-70
f	4	4	8	10	12	8	4

A) 60 – 70
B) 50 – 60
C) 40 – 50
D) 30 – 40
Answer:
D) 30 – 40

Question 121.
For a given data with 120 observations, the ‘less than ogive’ and the ‘more than ogive’ intersect at (42.5, 60) the median of the data is …………….
A) 42.5
B) 32.7
C) 90.2
D) none
Answer:
A) 42.5

Question 122.
Consider the following frequency distribution.

Monthly income	Number of families
More than or equal to 10000	100
More than or equal to 13000	85
More than or equal to 16000	69
More than or equal to 19000	50
More than or equal to 22000	33
More than or equal to 25000	15

The number of families having income range from ₹ 16000 to ₹ 19000 is …………….
A) 19
B) 10
C) 20
D) none
Answer:
A) 19