Question

? If for any frequency
distribution, the median is 10
and the mode is 30, then
approximate value of mean is
equal to:
Option 1
Option 2
B 10
Option 3
30
Option 4
60

Answer 1

The approximate value of mean = 0

Correct question : If for any frequency distribution, the median is 10 and the mode is 30, then approximate value of mean is equal to: A. 0 B. 10 C. 30 D. 60

Given :

For any frequency distribution, the median is 10 and the mode is 30

To find :

The approximate value of mean is

A. 0

B. 10

C. 30

D. 60

Concept :

The relationship connecting three measures of central tendency is given by

3 × Median = 2 × Mean + Mode

Solution :

Step 1 of 2 :

Write down mode and median

Here it is given that for the frequency distribution, the median is 10 and the mode is 30

Median = 10

Mode = 30

Step 2 of 2 :

Calculate approximate value of mean

3 × Median = 2 × Mean + Mode

⇒ (3 × 10) = 2 × Mean + 30

⇒ 30 = 2 × Mean + 30

⇒ 2 × Mean = 30 - 30

⇒ Mean = 0

So the approximate value of mean is 0

Hence the correct option is A. 0

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