Question

The table shows data from a survey about the amount 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 20 6 8 18 10 14 13.3 5.2
High School 20 3 5.5 16 10.5 11 11 5.4

1. Which of the choices below best describes how to measure the spread of this data? (See picture)

2.Which of the choices below best describes how to measure the spread of this data?
Both spreads are best described with the IQR.

Both spreads are best described with the standard deviation.

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Answer 1

the answer is actually B

Explanation:

when drawn as a box and scatter plot, both appear to be closely symmetrical. as we know, standard deviation is used for symmetrical data, and the IQR is used for data that is not symmetrical.

i am unable to attach the box plots, but try drawing it out!