If one scours the internet for long enough, one can collect the heights and weights of all the players in the National Hockey League. Yes, we did! If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds.

Here are some data for four of those NHL players in the 2017-18 season:

- Dustin Byfuglien (Winnipeg Jets): Height 75 inches, Weight 260 pounds
- Dylan Ferguson (Vegas Golden Knights): Height 74 inches, Weight 190 pounds
- Tom Wilson (Washington Capitals): Height 76 inches, Weight 218 pounds
- Sidney Crosby (Pittsburgh Penguins): Height 71 inches, Weight 200 pounds

Below, match each of the four players with their respective z-scores for height.

The z-scores for the height of the four players are as follows: Dustin Byfuglien: +1.46, Dylan Ferguson: +0.48, Tom Wilson: +1.95, Sidney Crosby: -0.51. The z-score is a measure of how far a data point is away from the mean in terms of standard deviations. A z-score of 0 means that the data point is equal to the mean, while a z-score of 1 means that the data point is one standard deviation above the mean.

The z-score for height is calculated by subtracting the mean height from the player's height and then dividing it by the standard deviation of height. For example, Dustin Byfuglien's z-score for height is calculated as follows: z = (75 - 73.03) / 2.03 = +1.46

This means that Byfuglien's height is 1.46 standard deviations above the mean height for NHL players.

The other players' z-scores for height can be calculated in a similar way. The results are shown in the table below:

Player Height z-score

Dustin Byfuglien 75 inches +1.46

Dylan Ferguson 74 inches +0.48

Tom Wilson 76 inches +1.95

Sidney Crosby 71 inches -0.51

As you can see, the z-scores for height can be used to compare the heights of different players relative to the mean height for NHL players. For example, Byfuglien is 1.46 standard deviations taller than the average NHL player, while Crosby is 0.51 standard deviations shorter than the average NHL player.

Learn more about standard deviations here:

brainly.com/question/13336998

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