Question

if mode and median of a data are 65 and 61.6 respectively then find the value of mean
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Answer 1

Answer:

Using empirical formula

Mode = 3Median - 2 Mean

65 = 3 × 61.6 - 2 Mean

2 Mean = 184.8 + 65 = 249.8

Mean = 124.9

Answer 2

The value of mean = 59.9

Given :

The mode and median of a data are 65 and 61.6 respectively

To find :

The value of mean

Formula :

Mode = 3 × Median - 2 × Mean

Solution :

Step 1 of 2 :

Write down median and mode

Here it is given that the mode and median of a data are 65 and 61.6 respectively

Step 2 of 2 :

Find the value of mean

We know that

Mode = 3 × Median - 2 × Mean

⇒ 65 = 3 × 61.6 - 2 × Mean

⇒ 65 = 184.8 - 2 × Mean

⇒ 2 × Mean = 184.8 - 65

⇒ 2 × Mean = 119.8

⇒ Mean = 59.9

The value of mean = 59.9

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