We are given the data and are asked to check if boys who have played video games have better grades than those who have not played video games by giving percentages to back this claim.
Grade | Aver | age | |
A's and B's | C's | D's | |
Played games | 785 | 500 | 243 |
Never Played video games | 255 | 194 | 130 |
We can find out the percentages by finding the marginal probabilities as follows:
Grad | eAve | rage | |
A's and B's | C's | D's | |
Played games | 785 | 500 | 243 |
Never Played video games | 255 | 194 | 130 |
Total | 1040 | 694 | 373 |
So percentage of boys who have played video games is
and
percentage of boys who have never played video games is
for grade A's and B's
Percentage of boys who have played video games is
and
percentage of boys who have never played video games is
for grade C's
Percentage of boys who have played video games is
and
percentage of boys who have never played video games is
for grade D's
Representing these percentages in tabular format we get,
A's and B's | C's | D's | |
Played games | 75.5 | 72.0 | 65.1 |
Never Played video games | 24.5 | 28.0 | 34.9 |
Note:- The bar charts given here were too small to read hence I couldn't provide solution for the bar chart portion.
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