The line plot below shows the heights of players on a basketball team.

68 70 72 74 76 78 80 82 84
inches

which of the following statements are true? select all that apply.

There are 9 players on the team.

76 inches is an outlier.

More than half of the players are 79 inches or taller.

3 more players are 84 inches tall than are 81 inches tall.

The difference between the tallest and shortest player is 15 inches.

1 answer

To evaluate the statements based on the heights of players on a basketball team shown in the line plot, let's analyze each statement:

  1. There are 9 players on the team.

    • We need to check the data from the plot. If there are indeed heights marked for 9 players, this statement is true.
  2. 76 inches is an outlier.

    • An outlier is normally a data point that is significantly different from other observations. If most of the player's heights fall around a certain range, 76 inches is unlikely to be classified as an outlier unless the other heights are very different.
  3. More than half of the players are 79 inches or taller.

    • To determine this, we would need to look at the distribution of heights. If the majority of players fall at or above 79 inches, this statement would hold true.
  4. 3 more players are 84 inches tall than are 81 inches tall.

    • This statement can be validated by counting the number of players at each height mentioned (84 inches and 81 inches) directly from the plot.
  5. The difference between the tallest and shortest player is 15 inches.

    • To assess this statement, we subtract the shortest player's height from the tallest player's height. If the shortest player is at, for example, 68 inches and the tallest at 83 inches, then the difference would not be 15 inches, and this statement would be false.

Without the actual data points from the plot, it's impossible to definitively say which statements are true. Please provide the actual data values or the plot itself for an accurate evaluation of each statement.