Question

write the relationship connecting three measures of central tendency . hence find the median of given data if mode is 24.5 and mean is 29.75

Answer 1

Answer:

Step-by-step explanation:

3Median = 2Mean + Mode

Therefore

Median = (2( 29.75) + 24.5) ÷3

Median =( 59.5 + 24.5) ÷3

Median = 84 ÷ 3

Median = 28

:-) (-:

Answer 2

• The relationship connecting three measures of central tendency is given by 3 × Median = 2 × Mean + Mode

• The required median = 28

Given :

Mode is 24.5 and mean is 29.75

To find :

• The relationship connecting three measures of central tendency

• The median of given data

Solution :

Step 1 of 2 :

Find the relationship connecting three measures of central tendency

Three measures of central tendency are mean , mode and Median

The relationship connecting three measures of central tendency is : 3 × Median = 2 × Mean + Mode

Step 2 of 2 :

Find the required median

3 × Median = 2 × Mean + Mode

⇒ 3 × Median = 2 × 29.75 + 24.5

⇒ 3 × Median = 59.5 + 24.5

⇒ 3 × Median = 84

⇒ Median = 84/3

⇒ Median = 28

The required median = 28

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