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Question
The mean of 13, 17, x, 16, 20, 26 is 23. Find the value of x.
Sum
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Solution
Given: The mean of 13, 17, x, 16, 20, 26 is 23.
Step-wise calculation:
Sum of known numbers
= 13 + 17 + 16 + 20 + 26
= 92
`"Mean" = "Sum of observations"/"Number of observations"`
= `(92 + x)/6`
= 23
Multiply both sides by 6:
92 + x
= 23 × 6
= 138
Subtract 92:
x = 138 – 92
= 46
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