Question

4)

Based on the frequency distribution below, what would the cut-off score be if only the top 10% of students received a prize?

SCORE           FREQ.

60-64               5

55-59               9

50-54               12

45-49               17

40-44               18

35-39               11

30-34               6

Select one:

( ) a. 58

( ) b. 55

( ) c. 54

( ) d. 23

( ) e. 35

Answer 1

Total number of students = 5+9+12+17+18+11+6

= 78.

If top 10% students received prize, it means that top 7.8, so only top 7 students will receive the prize.

So, the cut off score would be =

Lower bound of upper class - ((Total students required- Students of the upper class)/Students of current class width )* current class width

= 59 - ( (7-5)/9)*5

= 59 - ((2/9)*5)

= 57.889.

So, the cut off score would be 58 (rounded to nearest integer). So option a is the correct answer.

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