Question

If the mean of 17, 19, 23, 16, a, 18 and 14 is 17. Find the value of a.​

Answer 1

Answer:

a=12

Step-by-step explanation:

17+19+23+16+a+18+14÷7=7

107+a÷7=17

107+a=17*7

107+a=119

a=119-107

a=12

Answer 2

The value of a is 12.

Explanation:

We know that the formula to find the mean is given by :-

$\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of obserbvations}}$

Given : The mean of 17, 19, 23, 16, a, 18 and 14 is 17.

i.e. Mean = 17

Sum of numbers = 17+19+23+16+a+18+14=107+a

Total numbers =7

Put values in formula , we get

$17=\dfrac{107+a}{7}\\\\ 7\times17=107+a\\\\ 119=107+a\\\\ a=119-107=12$

Hence, the value of a is 12.

# Learn more :

Mean of 8 numbers is 38.4 and the mean of seven of them is 39.2 what is the eight number

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