Question

if in a set A there is integer number 27, 28, 30, 32,33 .if k joins the set A then the average of set A increased by 30% .what is the value of k​

Answer 1

Average of set A

= $\frac{27 + 28 + 30 + 32 + 33}{5}$

= $\frac{150}{5}$ = 30

Case II,

New average = $\frac{3900}{100}$ = 39

∴ 150 + k = 39 × 6 = 234

⇒ k = 234 – 150 = 84

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Answer 2

Average of set A

$= \frac{27 + 28 + 30 + 32 + 33}{5}\\\\= \frac{150}{5} = 30$

Case II,

New average = $\frac{3900}{100} = 39$

∴ 150 + k = 39 × 6 = 234

⇒ k = 234 – 150 = 84

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