Chica records the number of goals per game (x) that she scores for her basketball team over a season of 20 games.
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
frequency | 2 | 3 | 5 | 4 | 3 | 2 | 0 | 1 |
Last season, Chica’s mean goal-scoring per game was 2. Show that she has improved her goal-scoring skills in the current season. Also, calculate the scores median.
Answers
Given : Chica records the number of goals per game (x) that she scores for her basketball team over a season of 20 games.
To find : has chica improved her goal-scoring skills in the current season. calculate the scores median.
Step-by-step explanation:
Goals f cf goals * f
0 2 2 0
1 3 5 3
2 5 10 10
3 4 14 12
4 3 17 12
5 2 19 10
6 0 19 0
7 1 20 7
20 54
Mean Goals = 54/20 = 2.7
2.7 > 2
Hence Chica has improved her goal scoring skills in current season
Median = 3 + (10 - 10)/4 = 3
or 2 + (10 - 5)/5 = 3
hence Median Score = 3
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