The line plot shows the heights of the basketball players on Team A.

The 4 shortest players on Team B have the same combined height as the 4 shortest players on Team A. The 4 shortest players on Team B are all the same height

which is their height?

Basketball Team heights

68 70 72 74 76 78 80 82 84

54 inches
70 3/4 inches
72 1/2 inches
73 1/4 inches

1 answer

To find the height of the players on Team B, we first need to sum the heights of the 4 shortest players on Team A.

The heights of the players on Team A are:

  • 68 inches
  • 70 inches
  • 72 inches
  • 74 inches

Now, we will calculate the combined height of these 4 players:

\[ \text{Combined height} = 68 + 70 + 72 + 74 \]

Calculating step-by-step:

  1. \(68 + 70 = 138\)
  2. \(138 + 72 = 210\)
  3. \(210 + 74 = 284\)

So, the combined height of the 4 shortest players on Team A is 284 inches.

Let \(h\) be the height of each of the 4 shortest players on Team B. Since the 4 shortest players on Team B have the same combined height as the 4 shortest players on Team A, we can write the equation:

\[ 4h = 284 \]

To find \(h\), we can divide both sides by 4:

\[ h = \frac{284}{4} = 71 \]

Now we can check the provided options for the height of the players on Team B:

  1. 54 inches
  2. 70 3/4 inches (which is \(70.75\) inches)
  3. 72 1/2 inches (which is \(72.5\) inches)
  4. 73 1/4 inches (which is \(73.25\) inches)

Since \(h\) is 71 inches, the height of each of the 4 shortest players on Team B is not among the provided options. 71 inches does not match any of the given options. You might want to check if there has been an error in the provided options or the total heights listed for Team A.