A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile.

The value that corresponds to the 75th percentile is 16.35.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A normal distribution has a mean of 15 and a standard deviation of 2.

This means that

Find the value that corresponds to the 75th percentile.

This is X when Z has a pvalue of 0.75. So X when

The value that corresponds to the 75th percentile is 16.35.

two data sets with the same median will not have the same varaibility

step-by-step explanation:

step-by-step explanation: