Question

in the 9th and 10th grades at jefferson high school, there are 236 students. of those students, 121 are in 9th grade. of the 214 students who are right - handed, 103 of them are in 10th grade. create the two - way frequency table for this scenario. drag each tile to the correct cell in the table. 214 111 236 10 115 12 22 121 103 | | right - handed | left - handed | total | 9th grade | | | | 10th grade | | | | total | | | |

Explanation:

Step1: Find 10th grade total

Total students: 236, 9th grade: 121. So 10th grade total: \( 236 - 121 = 115 \)

Step2: 9th grade right - handed

Total right - handed: 214, 10th grade right - handed: 103. So 9th grade right - handed: \( 214 - 103 = 111 \)

Step3: 9th grade left - handed

9th grade total: 121, 9th grade right - handed: 111. So 9th grade left - handed: \( 121 - 111 = 10 \)

Step4: 10th grade left - handed

10th grade total: 115, 10th grade right - handed: 103. So 10th grade left - handed: \( 115 - 103 = 12 \)

Step5: Total left - handed

9th grade left - handed: 10, 10th grade left - handed: 12. So total left - handed: \( 10 + 12 = 22 \)

Step6: Verify totals

Right - handed total: 214, left - handed total: 22, total students: \( 214+22 = 236 \) (matches), 9th grade total 121, 10th grade total 115, \( 121 + 115 = 236 \) (matches)

Now we can fill the table:

	Right - handed	Left - handed	Total
10th Grade	103	12	115
Total	214	22	236

Answer:

The two - way frequency table is as follows:

	Right - handed	Left - handed	Total
10th Grade	103	12	115
Total	214	22	236