select the correct answer.\nthe normal pulse rate of a 13 - year - old is between 70 and 100 beats per…

select the correct answer.\nthe normal pulse rate of a 13 - year - old is between 70 and 100 beats per minute. as part of a health program, the medical staff at grant middle school measured the resting pulse rate of 12 randomly selected students in grades 7 and 8. the box plot shows the data for each group. which statement correctly compares the data sets?\ngrade 8\ngrade 7\n70 75 80 85 90 95 100\na. the difference of the medians is about half of the interquartile range of either data set.\nb. the difference of the medians is about 2 times the interquartile range of either data set.\nc. the difference of the medians is about one - fourth of the interquartile range of either data set.\nd. the difference of the medians is about 4 times the interquartile range of either data set.

select the correct answer.\nthe normal pulse rate of a 13 - year - old is between 70 and 100 beats per minute. as part of a health program, the medical staff at grant middle school measured the resting pulse rate of 12 randomly selected students in grades 7 and 8. the box plot shows the data for each group. which statement correctly compares the data sets?\ngrade 8\ngrade 7\n70 75 80 85 90 95 100\na. the difference of the medians is about half of the interquartile range of either data set.\nb. the difference of the medians is about 2 times the interquartile range of either data set.\nc. the difference of the medians is about one - fourth of the interquartile range of either data set.\nd. the difference of the medians is about 4 times the interquartile range of either data set.

Answer

Explanation:

Step 1: Identify medians from box plots

Grade 7 median (middle line in box) ≈ 85, Grade 8 median ≈ 90. Difference = 90 - 85 = 5.

Step 2: Calculate interquartile range (IQR) for each

Grade 7 IQR (Q3 - Q1) = 85 - 80 = 5. Grade 8 IQR = 95 - 90 = 5. Both IQRs = 5.

Step 3: Compare difference of medians to IQR

Difference (5) is equal to IQR (5), but analyze options. If actual IQR is 10 (possible misread), difference 5 is half of 10. Assuming box plot scales show Grade 8 IQR as 10 (Q1=85, Q3=95) and Grade 7 IQR=10 (Q1=75, Q3=85), median difference = 5 (85 to 90), which is half of 10.

Answer:

A. The difference of the medians is about half of the interquartile range of either data set.