Question

The two box plots summarize the number of hours spent in the weight room for all the players on the football team
for two different high schools. Which of the statements must be true about the distribution of data represented in the
boxplats?

Answer 1

Answer:

B. C. D are true, A. is false

Step-by-step explanation:

The question is attached

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Answer options:

A. Players at school 1 typically spent more time in the weight room than players at school 2

• False, as per plot boxes up to 75% of players from school 1 spend up to 10 hours but up to 75% of players from school 2 spend up to 12 hours in the weight room

B. The middle half of the data for school 1 has more variability than the middle half of the data for school 2

• True. 4 hours variation for school 1 vs 3 hours variation for school 2

C. The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both schools are equal

• True as it is 8 hours for school 1 and 9 hours for school 2

D. The total number of hours spent in the weight room for players at school 2 is greater than the total number of hours for players at school 1

• True. Taking into account a sum of 5 numbers of the plot box. For School 1 it is: (3+4+8+10+16)= 41 and for school 2 it is: (3+6+9+12+14) = 44. Totals will have similar ratio.