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Mean

For the given...

Question

For the given set of data of the number of pretzels sold for a week, Sophia says that the mean will lie between 5 and 35.
Thomas says that it will be greater than 35.
Timothy says it that will be lesser than 5.
Who is correct?

A

Thomas

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B

Sophia

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C

Timothy

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D

None of them

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Solution

The correct option is B Sophia
Mean = $\frac{S u m o f a l l d a t a p o i n t s}{N u m b e r o f d a t a p o i n t s}$

Thus, the mean of the given data set = $\frac{5 + 10 + 15 + 20 + 25 + 30 + 35}{7}$ = 20

Thus, the mean lies between 5 and 35, and Sophia is correct.

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