CBSE Class 10 Mathematics Statistics VBQs

Question. If the sum of frequencies is 24, then the value of x in the observation: x, 5,6,1,2, will be
(a) 4
(b) 6
(c) 8
(d) 10
Answer : D

Question. Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, and 80 were wrongly read as 40, 20, and 50 respectively. The correct mean is
(a) 48
(b) 49
(c) 50
(d) 60
Answer : C

Question. Consider the following frequency distribution:

The upper limit of the median class is
(a) 17
(b) 17.5
(c) 18
(d) 18.5
Answer : B

Question. Mode is the
(a) middle most frequent value
(b) least frequent value
(c) maximum frequent value
(d) none of these
Answer : C

Question. The algebraic sum of the deviations of a frequency distribution from its mean is always,
(a) greater than zero
(b) less than zero
(c) zero
(d) a non-zero number
Answer : C

Question. The empirical relationship between the three measures of central tendency is
(a) 3 Median = Mode + 2 Mean
(b) 2 Median = Mode + 2 Mean
(c) 3 Median = Mode + Mean
(d) 3 Median = Mode – 2 Mean
Answer : A

Question. Mode and mean of a data are 12k and 15A. Median of the data is
(a) 12k
(b) 14k
(c) 15k
(d) 16k
Answer : C

Question. While computing mean of grouped data, we assume that the frequencies are
(a) evenly distributed over all the class
(b) centered at the class marks of the class
(c) centered the upper limits of the class
(d) centered the lower limits of the class
Answer : B

Question. If the mean of frequency distribution is 7.5 and Σfi xi = 120 + 3k, Σfi = 30, then k is equal to:
(a) 40
(b) 35
(c) 50
(d) 45
Answer : B

Question. The wickets taken by a bowler in 10 cricket matches are as follows 2, 6, 4, 5, 0, 2, 1, 3, 2, 3. Find the mode of the data.
(a) 2
(b) 4
(c) 3
(d) 1
Answer : A

Assertion and Reason Questions

DIRECTION: In the following questions (Q16-20), a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
(a) if both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) if both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) if Assertion (A) is true but reason (R) is false.
(d) if Assertion (A) is false but reason (R) is true.

Question. Statement A (Assertion): The mode of the call received on 7 consecutive day 11,13,13,17,19,23,25 is 13.
Statement R (Reason): Mode is the value that appears most frequent;
Answer : A

Question. Statement A (Assertion): If the median of the given data 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93, is 65 then the value of x is 64.
Statement R(Reason): When the number of observations (n) is odd the median is the value of the (n+1/2) th observation.
Answer : A

Question. Statement A (Assertion) If mean & median of an asymmetrical distribution are 58 & 61 respectively, then Mode =67.
Statement R(Reason): For an asymmetrical distribution Mode =3 Median −2 Mean.
Answer : A

Question. Statement A (Assertion): The runs scored by a batsman in 5 ODIs are 31, 97,112, 63, and 12. The standard deviation is 25.79.
Statement R(Reason) : mean = total sum of number in data sets. / Total number in data sets.
Answer : B

Question. Statement A (Assertion)Median of 51, 70, 65, 82, 60, 68, 62, 95, 55, 64, 58, 75, 80, 85, and 90 is 68.
Statement R(Reason): When n observations are arranged in an ascending order and n is odd, then median=value of 1/2(n+1) th observation.
Answer : A