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Question
If the arithmetic mean of 7, 5, 13, x and 9 is 10, then the value x is
Options
10
12
14
16
Solution
The given data is 7, 5, 13, x and 9. They are 5 in numbers.
The mean is
`(7+5+13+x+9)/5`
`=(34+x)/5`
But, it is given that the mean is 10. Hence, we have
`(34+x)/5 =10`
⇒ 34 +x = 50
⇒ x = 50 -34
⇒ x = 16
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