Question

middle school students were asked, \do you enjoy playing sports?\ the frequency table shows some of the results of the survey. complete the frequency table. then complete a relative frequency table to show the distribution of the data with respect to all 150 students.

frequency table
enjoy playing sports?
\t\tgrade
\t\t6th\t7th\t8th\ttotal
yes\t\t\t28\t\t84
no\t\t\t21\t23\t66
total\t48\t\t53\t150

complete the frequency table.

frequency table
enjoy playing sports?
\t\tgrade
\t\t6th\t7th\t8th\ttotal
yes\t□\t28\t□\t84
no\t□\t21\t23\t66
total\t48\t□\t53\t150

Explanation:

Step1: Find 6th grade "Yes"

Total 6th grade is 48, "No" for 6th grade: total - "Yes" = 48 - "Yes"? Wait, no, total = "Yes" + "No". So "Yes" for 6th grade: total (48) - "No" (let's find "No" first? Wait, total "No" is 66. 7th "No" is 21, 8th "No" is 23, so 6th "No" = 66 - 21 -23 = 22. Then 6th "Yes" = 48 - 22 = 26.

Step2: Find 8th grade "Yes"

Total "Yes" is 84. 6th "Yes" is 26, 7th "Yes" is 28, so 8th "Yes" = 84 -26 -28 = 30.

Step3: Find 7th grade total

7th "Yes" is 28, "No" is 21, so total 7th = 28 +21 = 49.

Answer:

6th grade "Yes": 26
6th grade "No": 22
8th grade "Yes": 30
7th grade total: 49

Filled table:

Grade	Enjoy Playing Sports?
6th	26	22	48
7th	28	21	49
8th	30	23	53
Total	84	66	150