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Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average

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by Gmat_mission » Sun Apr 26, 2020 11:53 am

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Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of \(x ?\)

A. 62
B. 65
C. 71
D. 76
E. 83

[spoiler]OA=B[/spoiler]

Source: Magoosh
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Source: — Problem Solving |

Gmat_mission wrote:
Sun Apr 26, 2020 11:53 am
testresults_figure.PNG

Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of \(x ?\)

A. 62
B. 65
C. 71
D. 76
E. 83

[spoiler]OA=B[/spoiler]

Source: Magoosh
(40 * 1 + 55 * 2 + 70 * 3 + x * 4)/10 = 62

40 + 110 + 210 + 4x = 620

360 + 4 x = 620

4x = 260

x = 65

Answer: B

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