Question

The dot plots below show the heights of some hockey players and some basketball players:

Two dot plots are shown one below the other. The top and the bottom plots have the title Hockey Team Players and Basketball Team Players respectively. Below the line for each dot plot is written Height followed by centimeters in parentheses. The markings on each line are from 160 to 180 at intervals of 1. For the top plot there are two dots for 166 and 1 dot each for 161, 163, 164, 168, 169, 170, and 171. For the bottom plot there are 2 dots each for 168, 172, and 1 dot each for 165, 166, 169, 171, and 174.

Based on visual inspection of the dot plots, which team appears to have the larger average height in centimeters?

The hockey team
The basketball team
Both groups are similar
Not enough information

Answer 1

Based on visual inspection of the dot plots, THE BASKETBALL TEAM appears to have the larger average height in centimeters.

Pls. see attachment for my box plot and table.

Answer 2

The team that appears to have the larger average height in centimeters is:

The basketball team.

Explanation:

We can make a frequency table for each of the game as:

HOCKEY

Height Frequency

166 2

161 1

163 1

164 1

168 1

169 1

170 1

171 1

------------------------------------------------------------------------------------------------------

BASKETBALL

Height Frequency

168 2

172 2

165 1

166 1

169 1

171 1

174 1

Clearly from the values we could observe that the basketball team has a frequency for higher values as compared to the Hockey team.

Hence, the mean for the basketball team is larger.