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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.

Part A
Which of the following statements are true? Select all that apply.

(1 point)
Responses

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

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

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

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

There are no players that are 68 1/2
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.

1 answer

To analyze the line plot data provided for the heights of the basketball players, let's summarize the findings based on the given heights and the number of dots corresponding to each height:

  • 68.5 inches: 1 player
  • 69.5 inches: 3 players
  • 70 inches: 1 player
  • 71 inches: 4 players
  • 71.5 inches: 2 players
  • 74 inches: 1 player

Now let's evaluate each of the provided statements:

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

    • False: 70 inches has 1 player, while 69.5 inches has 3 players.

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

    • False: This statement is identical to the first one.

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

    • False: Players taller than 70.5 inches are 71 inches (4 players), 71.5 inches (2 players), and 74 inches (1 player), totaling 7 players. Since there are 10 players in total, this is not more than half.

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

    • False: This is also a rephrasing of the previous statement.

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

    • False: There is 1 player that is 68.5 inches tall.

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

    • False: This statement is identical to the previous one.

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

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

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

    • True: This is the same as the previous statement.

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

    • True: The heights listed (68.5, 69.5, 70, 71, 71.5, and 74) indicate that there are 6 different heights.

Based on the analysis, the true statements are:

  • There are 4 players that are 71 inches tall.
  • There are 4 players that are 71 inches tall. (same as above)
  • The team is made up of players with 6 different heights.