Question

Basketball team has an average height of 74 inches with a standard deviation of 4 inches. Find the Z-Scores for the players with the following heights:

a. 78 inches
b. 68 inches
c. 71 inches

Answer 1

To find the Z-Scores, use the formula Z = (X - µ) / σ. For a height of 78 inches, the Z-Score is 1. For a height of 68 inches, the Z-Score is -1.5. For a height of 71 inches, the Z-Score is -0.75.

Step-by-step explanation:

To find the Z-Scores, we use the formula Z = (X - µ) / σ, where X represents the height, µ represents the mean height, and σ represents the standard deviation.

a. For a height of 78 inches, the Z-Score is (78 - 74) / 4 = 1.

b. For a height of 68 inches, the Z-Score is (68 - 74) / 4 = -1.5.

c. For a height of 71 inches, the Z-Score is (71 - 74) / 4 = -0.75.