Question

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The two dot plots below compare the forearm lengths of two groups of schoolchildren:

Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark. For the bottom line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark.

Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?

Group A, because three children in the group have the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches
Group A, because two children have a forearm length longer than 10 inches
Group B, because seven children have a forearm length longer than 10 inches

Answer 1

Option 4

Explanation:

Group B, because seven children have a forearm length longer than 10 inches.

Additional verification :

Finding average forearm length of Group A :

• 9(3) + 10(5) + 11(2) / 10
• 27 + 50 + 22 / 10
• 99/10
• 9.9

Finding average forearm length of Group B :

• 10(3) + 11(4) + 12(3) / 10
• 30 + 44 + 36 / 10
• 100/10
• 10

Group B clearly has the longer forearm length.