Question

question 8 (1 point)(05.05 mc)shaun found that 43 students in his school liked skating and 21 of those students liked swimming, as well. there were 7 students who did not like skating but liked swimming. there were 6 students who liked neither skating nor swimming. which table best summarizes the data collected by shaun?a| |like swimming|did not like swimming|total|| ---- | ---- | ---- | ---- ||like skating|43|21|64||did not like skating|7|6|13||total|50|27|77|b| |like swimming|did not like swimming|total|| ---- | ---- | ---- | ---- ||like skating|14|34|48||did not like skating|7|6|13||total|21|40|61|c| |like swimming|did not like swimming|total|| ---- | ---- | ---- | ---- ||like skating|21|22|43||did not like skating|6|7|13||total|27|29|56|d| |like swimming|did not like swimming|total|| ---- | ---- | ---- | ---- ||like skating|21|22|43||did not like skating|7|6|13||total|28|28|56|

Explanation:

Step1: Identify intersection value

The number of students who like both skating and swimming is 21. This is the value for the cell "Like skating" + "Like swimming".

Step2: Calculate skating-only students

Total who like skating: 43. Subtract those who like both: $43 - 21 = 22$. This is "Like skating" + "Did not like swimming".

Step3: Identify swimming-only students

7 students do not like skating but like swimming. This is "Did not like skating" + "Like swimming".

Step4: Identify neither value

6 students like neither activity. This is "Did not like skating" + "Did not like swimming".

Step5: Calculate row/column totals

• Total for "Like skating" row: $21 + 22 = 43$
• Total for "Did not like skating" row: $7 + 6 = 13$
• Total for "Like swimming" column: $21 + 7 = 28$
• Total for "Did not like swimming" column: $22 + 6 = 28$
• Overall total: $43 + 13 = 56$

Answer:

d.

	Like swimming	Did not like swimming	Total
Did not like skating	7	6	13
Total	28	28	56