Question

The standard deviation is used in conjunction with the _________ (range/variance/median/mean/mode) to numerically describe distributions that are bell shaped. The _________(range/variance/standard deviation/mean) mean standard deviation range variance measures the center of the​ distribution, while the standard deviation measures the _________(spread/range/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:

How we solve bell shaped distributions?

Problems of normally distributed(bell-shaped) 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 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.

So

Mean = center

Standard deviation = spread.

So the correct answer is:

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.