CBSE Class 10 Mathematics Statistics MCQs Set B

Question. Find the weighted mean of first ‘n’ natural numbers, whose weights are proportional to the corresponding numbers.
(a) 2n+1/3
(b) n+1/2
(c) n(n+1)/2
(d) (n+1)(2n+1)/6

Answer: A

Question. Find the mean of the first six prime numbers.
(a) 68.3
(b) 6.71
(c) 7
(d) 6.83

Answer: D

Question. If the mean of first ‘n’ odd natural numbers is ‘n’ itself, what is the value of ‘n’?
(a) 2
(b) 3
(c) 1
(d) Any natural number

Answer: D

Question. If 10, 13,15,18,( x + 1),(x + 3),30,32,35 and 41 are ten observations in the ascending order with median 24, find the value of ‘x’.
(a) 42
(b) 22
(c) 10
(d) 32

Answer: B

Question. The mean weight of seven boys is 56 kg. Individual weights of six boys (in kg) are 52,57,55,60,59 and 55 respectively. Find the weight of the seventh boy.
(a) 52 kg
(b) 54 kg
(c) 57 kg
(d) 59 kg

Answer: B

Question. Given that x is the mean of x₁…….,x₂,….xn, find the mean of x₁/a, x₂/a ,…. xn/a
(a) x̄ – a
(b) x̄
(c) ax̄
(d) x̄/a

Answer: D

Question. From a series of 50 observations, an observation 45 is dropped, but the mean remains the same. What was the mean of 50 observations?
(a) 50
(b) 49
(c) 45
(d) 40

Answer: C

Question. What is the value of ‘n’ if the mean of first 9 natural numbers is 5n/9 ?
(a) 7
(b) 8
(c) 9
(d) 11

Answer: C

Question. The mean of 10 numbers is 7. If each number is multiplied by 12, find the mean of new set of numbers.
(a) 82
(b) 48
(c) 78
(d) 84

Answer: D

Question. Find x/6 where 6 is the median of the scores x/2, x/3, x/4, x/5 and x/6 .
(a) 12
(b) 4
(c) 24
(d) 6

Answer: B

Question. The mode of the observations 5, 4, 4, 3, 5, x , 3, 4, 3, 5, 4, 3, and 5 is 3. What is their median?
(a) 3
(b) 4
(c) 5
(d) 4.5

Answer: B

Question. What is the mean of the first ‘n’ natural numbers?
(a) 1/2+n
(b) n(n + 1)
(c) 1/2(n+1)
(d) (n+1)2n

Answer: C

Question. If the difference of mode and median of a data is 24, what is the difference of median and mean?
(a) 24
(b) 6
(c) 12
(d) 30

Answer: C

Question. The arithmetic mean of the scores of a group of students in a test was 52%. The brightest 20% of them secured a mean score of 80 and the dullest 25%, a mean score of 31 %. Which of the following is the mean score of the remaining 55%?
(a) 45%
(b) 50%
(c) 51.4%(approx)
(d) 54.6% (approx)

Answer: C

Question. The mean of 8 numbers is 25. If 5 is subtracted from each number, what will the new mean be?
(a) 20
(b) 15
(c) 160
(d) 2

Answer: A

Question. What is the arithmetic mean of 20 fours, 40 fives, 30 sixes and 10 tens?
(a) 50
(b) 25
(c) 5.6
(d) 33

Answer: C

Question. what is the arithmetic mean of a + 2 , a and a – 2 ?
(a) a + 2
(b) a
(c) a – 2
(d) 3a

Answer: B

Question. Find the mode of 32, 20, 32, 16, 27 and 32.
(a) 20
(b) 27
(c) 30
(d) 32

Answer: D

Question. A person made 165 telephone calls in the month of May in a year. It was Friday on 1st May of the year. The average of telephone calls on Sundays of the month was 7. What was the average of the telephone calls per day on the rest of the days of the month?
(a) 165/31
(b) 5
(c) 7
(d) 137/27

Answer: B

Question. What is the mean of -8,-4, 4 and 8?
(a) 1
(b) Zero
(c) 8
(d) 2

Answer: B

Question. Marks obtained by 12 students in a test are 37, 23, 16, 19, 34, 23, 5, 27, 36, 23, 20 and 38. Find the modal marks.
(a) 27
(b) 37
(c) 23
(d) 5

Answer: C

Question. What is the median of 1/2 , 2/3 , 3/4 , 1/6 and 7/12 ?
(a) 3/4
(b) 7/12
(c) 2/3
(d) 1/6

Answer: B

Question. Find the mean of the first six multiples of 3.
(a) 63
(b) 11.5
(c) 10.5
(d) 60

Answer: C

Question. The mean weight of a group of 10 students is 25 kg and the mean weight of another group of 10 students is 35 kg. What is the mean weight of all the 20 students?
(a) 30 kg
(b) 35 kg
(c) 25 kg
(d) 20 kg

Answer: A

Question. The mean of 9, 11, 13, p, 18 and 19 is p. Find the value of ‘p’.
(a) 12
(b) 13
(c) 14
(d) 15

Answer: C