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Que: 40, 50, 60, 70, 80, 90, 100, 110, 120, 130 The list above shows......

Expert replies
by Max@Math Revolution » Sun Jun 13, 2021 9:28 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Que: 40, 50, 60, 70, 80, 90, 100, 110, 120, 130

The list above shows the scores of 10 students obtained on a scheduled test. If the standard deviation of the 10 scores is 30.28, how many of the scores are greater than one standard deviation above the mean of the 10 scores?

(A) None
(B) One
(C) Two
(D) Three
(E) Four
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Source: — Problem Solving |

Solution: Question asks the number of scores > (Mean + S.D.)

=> Mean = \(\frac{\left(40+50+60+70+80+90+100+110+120+130\right)}{10}=\frac{850}{10}=85\)

=> S.D. = 30.28. Thus,

=> Mean + S.D. = 85 + 30.28 = 115.28

It is clear that three scores (120 and 130) are greater than 115.28.

Therefore, C is the correct answer.

Answer C
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