Estimate the mean exam score for the 50 students in Prof. Burke's class.

Score

f

40 but less than 50

21

50 but less than 60

39

60 but less than 70

40

70 but less than 80

34

80 but less than 90

28

Total

162

Group of answer choices

65.56

63.78

64.89

62.34

Question

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Respuesta :

onyebuchinnaji onyebuchinnaji · Answer 1 · 2021-08-09T18:41:39+02:00

The mean of the exam score is 65.56

The given exam data is as follows;

Possible Score range ----------- frequency (f) -------- score (x) -----------(fx)

40 - 50 ------------------------- 21 ------------------- -----45 -------------- 945

50 - 60 --------------------------- 39------------------------55 ---------------2145

60 - 70 ----------------------------- 40---------------------- 65 ---------------- 2600

70 - 80 ------------------------------ 34 --------------------- 75 ----------------- 2550

80 - 90 ------------------------------ 28 --------------------- 85 ---------------- 2380

Note:[tex]score (x) = \frac{sum \ of \ the \ range }{2} , \ example \ \frac{40+49.99}{2} \approx 45[/tex]

The sum of the frequency (f) = 162

The sum of fx, ∑fx = 10620

The mean of the exam score:

[tex]\bar x = \frac{\Sigma fx }{\Sigma f} = \frac{10620}{162} = 65.56[/tex]

Therefore, the mean of the exam score is 65.56

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