The 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?
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Answers
Given : The 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.
To Find : Which statement correctly compares the data sets?
The difference of the medians is about half of the interquartile range of either data set.
The difference of the medians is about 2 times the interquartile range of either data set.
The difference of the medians is about one-fourth of the interquartile range of either data set.
The difference of the medians is about 4 times the interquartile range of either data set.
Solution:
IQR - Inter Quartile range
Grade 8 :
Q₁ = 85 Lower Quartile
Q₂ = 89 Median
Q₃ = 94 Upper Quartile
IQR = Q₃ - Q₁ = 94 - 85 = 9
Grade 7 :
Q₁ =78 Lower Quartile
Q₂ = 84 Median
Q₃ = 88 Upper Quartile
IQR = Q₃ - Q₁ = 88 - 78 = 10
Difference in Median = 94 - 89 = 5
IQR = 9 or 10
The difference of the medians is about half of the interquartile range of either data set.
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