Khilona earned scores of 97, 73 and 88 respectively in her first three examinations. If she scored 80 in the fourth examination, then her average score will be

# Khilona earned scores of $97$, and respectively in her first three examinations. If she scored in the fourth examination, then her average score will be

1. A
Increased by$1$
2. B
Increased by$1.5$
3. C
Decreased by$1$
4. D
Decreased by$1.5$

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### Solution:

Given, scores of Khilona as $97$, and .
To find, the average score.
Average  $=\frac{\mathit{sum of all numbers}}{\mathit{Number of observations}}$
Then, the average will be,
Average $=\frac{97+73+88}{3}$
$⇒\frac{258}{3}$
$⇒86$
It is given that she scored in the fourth examination.
When is added to the score list then,
Average $=\frac{97+73+88+80}{4}$
$⇒\frac{338}{4}$
$⇒84.5$ 86-84.5 = 1.5, which means the average was greater in the first three examinations and now the score has reduced to 84.5.
Hence, the average is decreased by $1.5.$ Hence, option 4 is correct.

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