Question

A survey asked eight students about their scores on a history test and whether they studied for the test. Test Scores Studied Did Not Study 88 34 90 67 86 80 96 59 Which statements about the data sets are true? Check all that apply. The mean absolute deviation for the group of students who studied is 12. The mean absolute deviation for the group of students who did not study is 13.5. The data for the group that studied are more spread out than the data for the group that did not study. The data for the group that did not study are more spread out than the data for the group that studied. The data for the group that studied are more clustered around the mean than the data for the group that did not study. The data for the group that did not study are more clustered around the mean than the data for the group that did study.

Answer 1

The data for the group that studied are more spread out than the data for the group that did not study. 
The data for the group that did not study are more clustered around the mean than the data for the group that did study.

Answer 2

Answer:

Students who studied got following marks =

88,90,86,96

Mean = $(88+90+86+96)/4=90$ and mean absolute deviation = 3

Students who did not study got following marks =

34,67,80,59

Mean = $(34+67+80+59)/4=60$ and mean absolute deviation = 13.5

The correct statements are :

The mean absolute deviation for the group of students who did not study is 13.5.

The data for the group that did not study is more spread out than the data for the group that studied

The data for the group that studied is more are more clustered around the mean than the data for the group that did not study.