Jenny and her friends are estimating the mean score of a tennis match, as shown below.

10 12 14 16 18 20 22 24

Jenny: 12
Ena: 18
James: 30
Roy: 24
Whose estimation is absolutely incorrect?

Jenny

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Ena

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James

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Roy

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Solution

The correct option is C James
The mean of any given data set is never greater than the largest value of the same data set, and it always lies in between the smallest and the largest value.

Additionally, 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, mean for the above data set = $\frac{10 + 12 + 14 + 16 + 18 + 20 + 22 + 24}{8}$ = 17

Although all of them are incorrect, James is absolutely incorrect as 30 does not lie within the given data set and is greater than the largest value of the data set.

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Similar questions

6, 8, 10, 12, 14, 16, 18, 20, 22, 24

10

Marks in English	$20$	$13$	$18$	$21$	$11$	$12$	$17$	$14$	$19$	$15$
Marks in Mathematics	$17$	$12$	$23$	$25$	$14$	$8$	$19$	$21$	$22$	$19$

24

Age (in years)	$18$	$19$	$20$	$21$	$22$
No. of boys	$14$	$10$	$20$	$24$	$12$

15, 18, 13, 16, 12, 24, 10, 20

16.6

$x_{i}$	$8$	$12$	$15$	$18$	$20$	$25$	$30$	Total
$f_{i}$	$12$	$16$	$p$	$24$	$16$	$q$	$4$	$100$

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