How many rookies received a rating of 4 or better

a.) To determine how many rookies received a rating of 4 or better, we add up the frequencies for ratings 4 and 5: 18 + 4 = 22. Therefore, 22 rookies received a rating of 4 or better.

To determine how many rookies received a rating of 2 or worse, we add up the frequencies for ratings 1 and 2: 4 + 10 = 14. Therefore, 14 rookies received a rating of 2 or worse.

b.) To construct the relative frequency distribution, we divide the frequency for each rating by the total number of rookies (50). The relative frequency for each rating is as follows:

Rating Frequency Relative Frequency 1 4 4/50 = 0.08 2 10 10/50 = 0.20 3 14 14/50 = 0.28 4 18 18/50 = 0.36 5 4 4/50 = 0.08

Therefore, the proportion of rookies who received a rating of 5 is 4/50 = 0.08 (or 8%).

c.) To construct a bar chart, we can represent each rating on the x-axis and the frequency or relative frequency on the y-axis. The height of each bar will correspond to the frequency or relative frequency for each rating.

Based on the given data, the bar chart will look like this:

Frequency
| *
| *
| *
| *
| * *
| * *
| * * *
| * * * *
| * * * *
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1 2 3 4 5

From the bar chart, we can observe that the majority of rookies received ratings of 3 or higher, with the highest frequency at rating 4. However, there are only a few rookies who received ratings of 1 or 5.