Question

find the median of the data if it's mean is 32 and the mode is 35​

Answer 1

3 median = mode + 2 mean

= 35 + 2(32)

3 median = 99

median = 99/3

Median = 33

Answer 2

Given :-

A frequency distribution whose

• Mean = 32
• Mode = 35

To find :-

• Median = ?

Solution :-

For solving this question, apply empirical formula of mean median and mode

$\green{ \bigstar} \: \blue{ \boxed{ \bf{Mode = (3 \times Median) - (2 \times Mean)}}}$

Substitute the given values of mean and mode in the above mentioned formula.

35 = (3 × Median) - (2 × 32)

⇒ 35 = 3Median - 64

⇒ 35 + 64 = 3Median

⇒ 3 × Median = 99

⇒ Median = 99 ÷ 3

⇒ Median = 33

∴ The median of the given data = 33

KNOW MORE:

• Mean of a data is also known as its average. It is the sum of all observations divided by the total number of observations for ungrouped data.
• Mean for grouped data = Σfᵢxᵢ ÷ Σfᵢ