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## Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 8 Statistics Ex 8.4

Multiple Choice Questions

Question 1.

Let m be the mid point and b be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is

(1) 2 m – b

(2) 2m + b

(3) m – b

(4) m – 2b

Solution:

(1) 2m – b

Question 2.

The mean of a set of seven numbers is 81. If one of the numbers is discarded, the mean of the remaining numbers is 78 . The value of discarded number is

(1) 101

(2) 100

(3) 99

(4) 98

Solution:

Hint:

∴ The discarded number = 567 – 41 = 99

Solution:

(3) 99

Question 3.

A particular observation which occurs maximum number of times in a given data is called its

(1) Frequency

(2) range

(3) mode

(4) Median

Solution:

(3) mode

Question 4.

For which set of numbers do the mean, median and mode all have the same values?

(1) 2, 2, 2, 4

(2) 1, 3, 3, 3, 5

(3) 1, 1, 2, 5, 6

(4) 1, 1, 2, 1, 5

Hint:

Median = 3

Mode = 3

Solution:

(2) 1, 3, 3, 3, 5

Question 5.

The algebraic sum of the deviations of a set of n values from their mean is

(1) 0

(2) n – 1

(3) n

(4) n + 1

Solution:

(1) 0

Question 6.

The mean of a, b, c, d and e is 28 . If the mean of a, c and e is 24, then mean of b and d is

(1) 24

(2) 36

(3) 26

(4) 34

Hint: