The choices best describe how to measure the spread of this data; B) Both spreads are best described with the standard deviation.
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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