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
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.
IF YOU FIND THIS ANSWER HELPFUL, PLEASE UP VOTE.
Get Answers For Free
Most questions answered within 1 hours.