Question

The heights of a group of boys and girls at a local middle school are shown on the dot plots below.

When comparing the shapes of the two sets of data, what conclusion can someone draw?
A) The shortest boy is taller than the shortest girl.
B) The range for the girls is greater than the range for the boys.
C) There is an outlier in the data for the boys, but not for the girls.
D) The girls are generally taller than the boys.

Answer 1

Answer:

The most appropriate answer option is D) The girls are generally taller than the boys.

Step-by-step explanation:

A) The shortest boy is taller than the shortest girl:

The shortest guy is not taller than the girl so its false.

B) The range for the girls is greater than the range for the boys:

Range for girls = 56 - 44 = 12

Range for boys = 54 - 41 = 13

C) There is an outlier in the data for the boys, but not for the girls:

It is present in both.

D) The girls are generally taller than the boys:

Average height of boys = $\frac{(41)+(44\times3)+(46\times3)+(48\times2)+(50\times3)+(52\times)+(54\times4)}{20}$ = 49.05

Average height of girls = $\frac{(44\times2)+(46\times2)+(48)+(50\times3)+(52\times4)+(54\times3)+(56\times4)}{20}$ = 50.9

Therefore, the correct answer option is D) The girls are generally taller than the boys.

Answer 2

Answer:

D) The girls are generally taller than the boys.

Step-by-step explanation:

The heights of a group of boys and girls at a local middle school are shown on the dot plots. When comparing the shapes of the two sets of data, the girls are generally taller than the boys.