High School

Use the appropriate appendix table or technology to answer this question:

The weight of football players is normally distributed with a mean of 220 pounds and a standard deviation of 25 pounds. What percent of players weigh between 195 and 245 pounds?

Answer :

Approximately 68.26% of the players weigh between 195 and 245 pounds.

Explanation :

To find the percentage of players who weigh between 195 and 245 pounds, we need to use the standard normal distribution table.

First, we need to standardize the weights using the formula:

Z = (X - μ) / σ

where X is the weight of the player, μ is the mean weight (220 pounds), and σ is the standard deviation (25 pounds).

For the lower weight limit of 195 pounds, we calculate the corresponding z-score:

Z1 = (195 - 220) / 25 = -1

For the upper weight limit of 245 pounds, we calculate the corresponding z-score:

Z2 = (245 - 220) / 25 = 1

Now, we can use the standard normal distribution table to find the percentage of players within this range. The table gives us the area under the curve to the left of a given z-score.

From the table, the area to the left of -1 is 0.1587, and the area to the left of 1 is 0.8413.

To find the percentage between these two z-scores, we subtract the smaller area from the larger area:

0.8413 - 0.1587 = 0.6826


Learn more about standard deviation from a given link :
https://brainly.com/question/475676

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