176k views
2 votes
Height of basketball players has a bell shaped distribution with mean 72.5 inches and standard deviation 3.25 inches. A height of 79 inches is at what percentile?

User Marilynn
by
7.5k points

2 Answers

1 vote

To find the percentile of a height of 79 inches in a bell-shaped distribution with a mean of 72.5 inches and a standard deviation of 3.25 inches, you can use the standard normal distribution (Z-score).

First, calculate the Z-score for a height of 79 inches using the formula:

Z = (X - μ) / σ

Where:

X is the value you want to find the percentile for (79 inches in this case).

μ (mu) is the mean of the distribution (72.5 inches).

σ (sigma) is the standard deviation (3.25 inches).

Z = (79 - 72.5) / 3.25

Z = 6.5 / 3.25

Z = 2

Now that you have the Z-score of 2, you can find the percentile using a standard normal distribution table or calculator. A Z-score of 2 corresponds to the 97.72nd percentile.

So, a height of 79 inches is at approximately the 97.72nd percentile in this distribution. This means that 79 inches is taller than approximately 97.72% of the basketball players in this dataset.

User Funilrys
by
8.5k points
6 votes
sorry cant answer right know
User Mersedeh
by
9.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories