Consider the following distribution: Value of the variable 1 2 3 4 5 Frequency 3 f 6 5 2 For what value of f is the arithmetic mean of the above distribution 3.1?

Statistics Practice Test 1

Question : 22 of 37

Marks: +1, -0

Consider the following distribution:

Value of the variable	1	2	3	4	5
Frequency	3	f	6	5	2

For what value of f is the arithmetic mean of the above distribution 3.1?

Solution:

Mean

={56+2f}/{17+f}=3.1

56 + 2f = 52.7 + 3.1f

56 - 52.7 = 3.1f - 2f

3.3 = 1.1f

f=3.3/1.1=3

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