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The line plot shows the heights of the players on a basketball team, in inches.

A line plot named "Heights of Players" shows data from sixty-eight to seventy-four inches. Sixty-eight and one-half has one dot. Sixty-nine and one-half has three dots. Seventy has one dot. Seventy-one has four dots. Seventy-one and one-half has two dots. Seventy-four has one dot.

Which statements are true? Select all that apply.

(1 point)
Responses

More players are 70
inches tall than are 6912
inches tall.

More players are 70 inches tall than are 69 1 2 inches tall.

More than half of the players are taller than 7012
inches.

More than half of the players are taller than 70 1 2 inches.

There are no players that are 6812
inches tall.

There are no players that are 68 1 2 inches tall.

There are 4
players that are 71
inches tall.

There are 4 players that are 71 inches tall.

The team is made up of players with 6
different heights.

The team is made up of players with 6 different heights.

Both 6812
inches and 74
inches are outliers.

1 answer

To determine which statements are true based on the provided information about the heights of players on a basketball team, let's break down the data points and analyze them.

From the description, we have the following heights and their corresponding number of players:

  • 68.5 inches: 1 dot (1 player)
  • 69.5 inches: 3 dots (3 players)
  • 70 inches: 1 dot (1 player)
  • 71 inches: 4 dots (4 players)
  • 71.5 inches: 2 dots (2 players)
  • 74 inches: 1 dot (1 player)

Now, let's evaluate each statement:

  1. More players are 70 inches tall than are 69.5 inches tall.

    • False: There is 1 player at 70 inches and 3 players at 69.5 inches.

  2. More players are 70 inches tall than are 69.5 inches tall.

    • False: As mentioned above, 1 player at 70 inches compared to 3 at 69.5 inches.

  3. More than half of the players are taller than 70.5 inches.

    • The players taller than 70.5 inches are those at 71 inches (4 players), 71.5 inches (2 players), and 74 inches (1 player). That’s 4 + 2 + 1 = 7 players. There are a total of 11 players, so 7 is indeed more than half.
    • True.

  4. More than half of the players are taller than 70.5 inches.

    • True (same reasoning as above).

  5. There are no players that are 68.5 inches tall.

    • False: There is 1 player at 68.5 inches.

  6. There are no players that are 68.5 inches tall.

    • False: As stated above, there is a player at this height.

  7. There are 4 players that are 71 inches tall.

    • True: There are indeed 4 players at 71 inches tall.

  8. There are 4 players that are 71 inches tall.

    • True: This statement is restated as the previous one and is correct.

  9. The team is made up of players with 6 different heights.

    • True: The heights are 68.5, 69.5, 70, 71, 71.5, and 74, which are 6 different heights.

  10. Both 68.5 inches and 74 inches are outliers.

  • False: Outliers are typically values that are significantly different from others. While 68.5 and 74 are at the ends of the range, there is not enough information to label them as outliers definitively.

Based on this analysis, the true statements are:

  • More than half of the players are taller than 70.5 inches.
  • There are 4 players that are 71 inches tall.
  • The team is made up of players with 6 different heights.