Question

1. Twenty five candidates for the New Jersey State Police Academy took an entrance examination in    1999. The data below show the scores received on this examination. They also show the gender of each recruit.

# of Correct Answers	Gender
15	Male
17	Female
12	Male
11	Male
14	Male
12	Male
16	Female
10	Female
10	Male
10	Male
20	Female
15	Female
14	Male
10	Male
15	Male
19	Female
11	Male
13	Male
14	Female
13	Female
21	Male
20	Male
20	Female
16	Male
10	Male

1. Construct an ungrouped frequency distribution table for the test scores. Calculate cumulative frequencies, proportions, cumulative proportions, percents, cumulative percentages.
2. Construct a frequency distribution of the variable ‘gender’. Calculate cumulative frequencies, proportions, cumulative proportions, percents, cumulative percentages.
3. For each variable, draw a histogram or bar graph as appropriate.
4. If a score of 14 or higher constitutes a pass on the examination, how many people passed?
5. If a score of 18 or higher constitutes a ‘pass with distinction’, what proportion of the candidates passed with honors?
6. If those who had a score of 13 or lower had to repeat the examination, how many candidates failed?

Answer 1