Question

Complete the paragraph below. The standard deviation is used in conjunction with the​ ______ to numerically describe distributions that are bell shaped. The​ ______ measures the center of the​ distribution, while the standard deviation measures the​ ______ of the distribution. Choose the correct answers below. The standard deviation is used in conjunction with the ▼ range variance mode median mean to numerically describe distributions that are bell shaped. The ▼ mean variance range standard deviation measures the center of the​ distribution, while the standard deviation measures the ▼ range spread center of the distribution.

Answer 1

Answer:

The standard deviation is used in conjunction with the​ mean to numerically describe distributions that are bell shaped. The​ mean measures the center of the​ distribution, while the standard deviation measures the​ spread of the distribution.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$, the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

The mean is the average value of the measures while the standard deviation measures how spread the measures are from the mean. So

The standard deviation is used in conjunction with the​ mean to numerically describe distributions that are bell shaped. The​ mean measures the center of the​ distribution, while the standard deviation measures the​ spread of the distribution.