Answer:
2. The class and exam medians are almost the same
5 The final has the greatest IQR
6. Both data sets are better described with the IQR
7. There is no way to tell where the means are.
Step-by-step explanation:
2. The median is the line in the middle of the box. The lines almost match up so the medians are almost the same.
5. IQR means we need to find the mid point and then the midpoints of the two sections
There are 10 data points. It splits the data into groups of 5
Mid term
75 85 88 92 92 95 95 100 100 100
L median U
The L is the lower end of the IQR and the Q is the upper end of the IQR
IQR = U-L = 100 -88 = 12
By using the same numbers from the chart for the final the
L = 78 and U = 93
IQR = 93 - 78 =15
The final has the greater IQR
6. Both the college and High school student appear to have outliers in their data, people who studied way outside the norm, so the data is better represented by the IQR. IQR is better when there is no outliers. Standard deviation is better when the data is not skewed.
7. You cannot tell where the mean is on a box and whisker plot.
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