BITSAT Mathematics Statistics MCQs

Question: The marks obtained by 60 students in a certain test are given below 

Median of the above data is

• a) 68.33
• b) 70
• c) 68.11
• d) None of these

Answer: 68.33

Question: The arithmetic mean of numbers a, b, c, d, e is M. What is the value of (a – M) + (b – M) + (c – M)+ (d – M) + (e – M) ?

• a) M
• b) a + b + c + d + e
• c) 0
• d) 5 M

Answer: 0

Question: The arithmetic mean of the data 0, 1, 2, ......, n with frequencies 1, ⁿC₁, ⁿC₂,....., ⁿC_n is

• a) n
• b) 

  

• c) n + 1
• d)

  

Answer: 

Question: The mean square deviation of a set of n observation x₁, x₂, .... x_n about a point c is defined as The mean square deviations about – 2 and 2 are 18 and 10 respectively, the standard deviation of this set of observations is

• a) 3
• b) 2
• c) 1
• d) None of these

Answer: 3

Question: If M. D. is 12, the value of S.D. will be

• a) 15
• b) 12
• c) 24
• d) None of these

Answer: 15

Question:  If the value of mode and mean is 60 and 66 respectively, then the value of median is

• a) 70
• b) 64
• c) 90
• d) 50

Answer: 64

Question: Find the variance of the data given below

• a) 1.29
• b) 2.19
• c) 1.32
• d) None of these

Answer: None of these

Question: If sample A contains 100 observations 101, 102, ....200 and sample B contains 100 obsections 151, 152,.......... 250, then ratio of variance v_A/v_B =

• a) 1
• b) 9/4
• c) 4/9
• d) 2/3

Answer: 1

Question: Find the A.M. of the first ten odd numbers

• a) 10
• b) 20
• c) 15
• d) 25

Answer: 10

Question: Mean of 25 observations was found to be 78.4. But later on it was found that 96 was misread 69. The correct mean is

• a) 79.24
• b) 79.48
• c) 80.10
• d) None of these

Answer: 79.48

Question: If the mean, mode and S.D. of a frequency distribution are 41,45 and 8 respectively, then its Pearson’s coefficient of skewness is

• a)

  

• b)

  

• c)

  

• d) 1

Answer: 

Question: Given below is a frequency distribution with median 46. In this distribution, some of the frequencies are missing : Determine the missing frequencies.

• a) 34, 45
• b) 25, 40
• c) 12, 18
• d) 30, 35

Answer: 34, 45

Question: The mean deviation from the median of the following set of observations 5, 3, 9, 12, 3, 10, 12, 21, 18, 12, 21 is

• a) 5.113
• b) 4.606
• c) 4.134
• d) 4.909

Answer: 4.134

Question: The quartile deviation of the following items : 12, 7, 15, 10, 16, 17, 25 is

• a) 4.5
• b) 13.5
• c) 9
• d) 3.5

Answer: 9

Question: Consider the following statements (A) Mode can be compound from histogram (B) Median is not independent of change of scale (C) Variance is independent of change of origin and scale Which of these is/are correct –

• a) (a), (b) and (c)
• b) only (b)
• c) Only (a) and (b)
• d) Only (a)

Answer: Only (a)