CBSE Class 10 Mathematics Statistics MCQs Set 03

Question. The mean of 25 observations is 36. If the mean of first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is
(a) 13
(b) 23
(c) 32
(d) 36

Answer: B

Question. The wickets taken by a bowler in 10 cricket matches are 2, 6, 4, 5, 0, 2, 1, 3, 2, 3. The median of the data is
(a) 2.5
(b) 1
(c) 2
(d) 3

Answer: A

Question. To represent ‘the less than type’ graphically, we plot the ________ on the x – axis.
(a) class marks
(b) class size
(c) lower limits
(d) upper limits

Answer: D

Question. Upperclasslimit + Lowerclasslimit /2 = .
(a) frequency
(b) Class mark
(c) None of these
(d) class size

Answer: B

Question. The mean of ‘n’ observations is . If the first item is increased by 1, second by 2 and so on, then the new mean is
(a) ¯x −n−1/2
(b) ¯x−n+1/2
(c) ¯x+n+1/2
(d) ¯x

Answer: C

Question. The arithmetic mean of a set of 40 values is 65. If each of the 40 values is increased by 5, what will be the mean of the set of new values:
(a) 65
(b) 60
(c) 70
(d) 50

Answer: C

Question. Mode + 2/3 (Mean −Mode ) =.
(a) Mode
(b) Median
(c) Mean
(d) None of these

Answer: B

Question. Construction of cumulative frequency table is useful to determine
(a) mean
(b) all the three
(c) median
(d) mode

Answer: C

Question. To represent ‘the more than type’ graphically, we plot the ____________ on the x – axis.
(a) class marks
(b) lower limits
(c) upper limits
(d) class size

Answer: B

Question. If ∑ƒ;X;=1860 and ∑ ƒ;= 30, then the value of ¯x is
(a) 26
(b) 63
(c) 64
(d) 62

Answer: D

Question. In a data, if l = 40, h = 15, f1= 7, f0 = 3, f2 = 6, then the mode is
(a) 82
(b) 62
(c) 52
(d) 72

Answer: C

Question. The mean of the first 10 prime numbers is
(a) 129
(b) 1.29
(c) 12.9
(d) 11.9

Answer: C

Question. The median of first 10 prime numbers is
(a) 12.5
(b) 13
(c) 11
(d) 12

Answer: D

Question. The empirical relationship between the three measures of central tendencies is
(a) 3 mode = mean + 2 median
(b) Mode= 3 median – 2 mean
(c) 3 mean = median + 2 mode
(d) None of these

Answer: B

Question. The mean of the first 10 natural numbers is
(a) 4.5
(b) 5
(c) 6
(d) 5.5

Answer: D

Question. The measure of central tendency that can be obtained graphically is
(a) mean
(b) median
(c) mode
(d) None of the options

Answer: B

Question. The most frequent value in the data is known as
(a) mean
(b) mode
(c) all the three
(d) median

Answer: B

Question. If x ; are the midpoints of the class intervals of grouped data ƒ; are the corresponding frequencies and ¯x is the mean, then ∑(ƒ;x; −¯x) is equal to
(a) 2
(b) 0
(c) -1
(d) 1

Answer: B

Question. In the given data if n = 230, l = 40, cf = 76, h = 10, f = 65, then its median is
(a) 48
(b) 40
(c) 47
(d) 46

Answer: D

Question. The marks obtained by 9 students in Mathematics are 59, 46, 30, 23, 27, 44, 52, 40 and 29. The median of the data is
(a) 35
(b) 29
(c) 30
(d) 40

Answer: D

Question. The mean of the first 10 natural odd numbers is
(a) 9
(b) 12
(c) 11
(d) 10

Answer: D

Question. The marks obtained by 9 students in Mathematics are 59, 46, 30, 23, 27, 40, 52, 35 and 29. The median of the data is
(a) 29
(b) 35
(c) 40
(d) 30

Answer: B

One Word Questions

Question. Find the mean of first five natural numbers.
Answer: 3

Question. Find the mean of first five prime numbers.
Answer: 5.6

Question. The mean of 6, 4, 7, x and 14 is 8. Find x.
Answer: 9

Question. Find the value of x if the mode of the data is 18.
16, 18, 17, 16, 18, x, 19, 17, 14
Answer: 18

Question. What is the value of x if the median of given data is 27.5?
24, 25, 26, x + 2, x + 3, 30, 31, 34
Answer: x = 25

Question. What is the mode of the given data?
2, 2, 3, 5, 5, 7, 7, 2, 3, 4, 7, 2
Answer: 2

Question. Find the value of x if the mode of the data is 18.
16, 18, 17, 16, 18, x, 19, 17, 14

Answer: 18

Question. What is the median of numbers:-
16, 17, 18, 20, 21, 24, 25, 26, 28?
Answer: 21

Question. For the numbers 9.6, 5.2, 3.5, 1.5, 1.6, 2.4, 2.6, 8.4, 10.3, 10.9 find 7
Answer: 0

Question. What is the mean of the data 6, 8, 7, 3, 2?
Answer: 5.2

Question. In a factory the daily wages of 5 workers are 20, 40, 42, 45 and 33. If the daily wages of each worker is increased by Rs. 5, find the mean wage.
Answer: 41

Question. The mean of 20 numbers is 17. If 3 is added to every number, then find the new mean.
Answer: 20

Question. If ¯x is the mean of n obeservations x1,x2,. . . . . . . . , xn then find n ∑i=i (xi – ¯x) .
Answer: 0

Question. What is the mean of n numbers x1,x2, . . . . . . . . . .xn ?
Answer: ∑xi/n

Question. Find the sum of deviations of the variate values 3, 4 ,6, 8, 14 from their mean.
Answer: 0

Question. What is the mean of data x, x + 2, x + 4, x + 6, x + 8 ?
Answer: x + 4

Question. Find the median of the numbers :–
7, 8, 9, 11, 13, 14, 15, 16
Answer: 12

Question. What is the mean of first five composite numbers?
Answer: 7.4

Question. The number of children of 10 families of a locality are 2, 4, 3, 4, 2, 0, 3, 5, 1, 1. What is the mean number of children per family?
Answer: 2.5

Question. The mean of 40 observations was 160.It was detected on rechecking that the value of 165 was wrongly copied as 125 for computing of mean. Find the correct mean.
Answer: 161

Question. What is the mean of observations x1,x2, . . . . . . . . . .xn with frequencies f1, f2, . . . . . . ,fn?
Answer: ∑xi fi/∑fi

Question. If 27 is taken out from the given data then what is the new median?
20, 24, 25, 26, 27, 28, 29, 30
Answer: 26

Question. When 93 is added to the data given below what is the new median?
43, 47, 51, 53, 67, 79, 84, 97
Answer: 67

Question. If ui = xi – 25 /10 , ∑fi ui = 20 and ∑fi = 100 then find the value of ¯x .
Answer: 27

Question. The mean of 20 numbers is 35. If each number is divided by 5 then what is the new mean.
Answer: 7

Question. The scores of two batsmen A and B in five innings of a test series are 18
What is the mean score of batsman B?
Answer: 52

Question. If mode of the data (given) is 43 then what is the value of x + 2?
34, 43, 48, 43, x, 48, 60, 64
Answer: 45

Question. The mean of 5 numbers is 18. If one number is excluded their mean is 16. Find the excluded number .
Answer: 26

Question. What is the mode of the given data?
2, 2, 3, 5, 5, 7, 7, 2, 3, 4, 7, 2
Answer: 2

Question. Find the mean of first five odd natural numbers.
Answer: 5