The choices best describe how to measure the spread of this data; B) Both spreads are best described with the standard deviation.
How to find the interquartile range?
IQR(interquartile range) is the difference between the third and first quartile.
The table shows data from a survey about the number of time students spend doing homework each week.
The students were either in college or in high school:
High Low Q1 Q3 IQR Median Mean σ
College 50 5 7.5 15 7.5 11 13.8 6.4
High School16 0 9.5 14.5 5 13 10.7 5.3
College
Q₁ - 1.5 × IQR
8 - 1.5×10 = -7
Q₃ + 1.5×IQR
18 + 1.5×10 = 33
For high school
Q₁ - 1.5 × IQR
5.5 - 1.5×10.5
= -10.25
Q₃ + 1.5×IQR
16 + 1.5×10.5
= 31.75
Therefore, there are no outliers and the data is representative of the population.
The difference between the low and the high is also approximately 3 standard deviations.
The choices best describe how to measure the spread of this data; B) Both spreads are best described with the standard deviation.
Learn more about quartiles here:
brainly.com/question/9260741
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