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Question
The mean of 5 variables is 20. If four of them are 15, 25, 10 and 12; the fifth variable is ______.
Options
38
60
48
28
MCQ
Fill in the Blanks
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Solution
The mean of 5 variables is 20. If four of them are 15, 25, 10 and 12; the fifth variable is 38.
Explanation:
Let fifth variable be x.
By formula,
\[\text{Mean} = \frac{\text{Sum of observations}}{\text{No. of observations}}\]
\[\therefore 20 = \frac{15 + 25 + 10 + 12 + x}{5}\]
⇒ 20 × 5 = x + 62
⇒ 100 = x + 62
⇒ x = 100 − 62 = 38
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