1 Answers

Option 4 : 19.5

Given:

The mean and median of observation 1 are 21 & 22 

Meidan of observation 2 = 21

Formula used:

Relation b/w mean, mode & median:

Mode = 3 (Median) - 2 (Mean)

Note:  Median always lies b/w mean & mode.

Calculation:

Using the relation

(Mode)1 = 3 (Median) - 2 (Mean)

⇒ Mode = 3 × 22 - 2 × 21

⇒ Mode = 24

Again using the relation 

(Mode)2 = 3 (Median) - 2 (Mean)

⇒ 24 = 3 × 21 - 2 × Mean

⇒ 2 Mean = 39

⇒ 2 Mean = 19.5

Hence, answer 4 is correct.

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