Question

if mean=15.6,median=15.73 than mode=?

Answer 1

The mode = 15.99

Given :

The mean = 15.6 and median = 15.73

To find :

The mode

Concept :

The relationship connecting three measures of central tendency is given by

3 × Median = 2 × Mean + Mode

Solution :

Step 1 of 2 :

Write down mean and median

Here it is given that ,

Mean = 15.6

Median = 15.73

Step 2 of 2 :

Calculate mode of the grouped frequency distribution

3 × Median = 2 × Mean + Mode

⇒ ( 3 × 15.73 ) = ( 2 × 15.6 ) + Mode

⇒ 47.19 = 31.2 + Mode

⇒ Mode = 47.19 - 31.2

⇒ Mode = 15.99

Hence mode = 15.99

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Answer 2

Answer:

The value of mode = 15.99.

Explanation:

Given:

The mean $= 15.6$ and median $= 15.73$

To find:

The mode

Step 1

The relationship connecting three measures of central tendency exists shown  by

3 × Median = 2 × Mean + Mode

Step 2

Consider the value of

Mean $= 15.6$

Median $= 15.73$

Calculate the mode of the grouped frequency distribution

Step 3

The three measures of central tendency exist shown  by

3 × Median = 2 × Mean + Mode

Substituting the values in the above equation, we get

⇒ ( 3 × 15.73 ) = ( 2 × 15.6 ) + Mode

⇒ 47.19 = 31.2 + Mode

⇒ Mode $= 47.19 - 31.2$

⇒ Mode $= 15.99$

Hence, we get

The value of the mode $= 15.99$.

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