Score Frequency
10
11-20
15
21-30
28
31-40
40
41-50
25
51-60
12
61-70
a) How many candidates sat for the test?
b) What is the possible highest score?
c) What is the cumulative frequency for the score
31- 40?
d) How many candidates scored more than 40?
e) What is the maximum possible number of
candidates who scored 15?
a) The total number of candidates who sat for the test can be found by adding up the frequency for each score range.
10 + 15 + 28 + 40 + 25 + 12 = 130
Therefore, there were 130 candidates who sat for the test.
b) The possible highest score can be found by adding the highest score in each range:
10 + 20 + 30 + 40 + 50 + 60 = 210
Therefore, the possible highest score is 210.
c) The cumulative frequency for the score 31-40 is 10 (for the score 31-40) + 15 (for the score 21-30) + 28 (for the score 11-20) = 53
Therefore, the cumulative frequency for the score 31-40 is 53.
d) The number of candidates who scored more than 40 can be found by adding the frequencies of the ranges greater than 40:
25 (for the score 41-50) + 12 (for the score 51-60) + 0 (for the score 61-70) = 37
Therefore, 37 candidates scored more than 40.
e) The maximum possible number of candidates who scored 15 is the frequency of the range that includes 15, which is 10.
Therefore, the maximum possible number of candidates who scored 15 is 10.