Question

which of the following statements is true about standard deviation? group of answer choices the standard deviation becomes larger as more people have scores that lie farther from the mean value. the standard deviation is calculated by multiplying the variance of given data with its range. the standard deviation tells one what the sample as a whole, or on the average, is like. the standard deviation is simply the difference between the highest score and the lowest score.

1. huyenthanh
The standard deviation becomes larger as more people have scores that lie farther from the mean value.
What is Standard Deviation?
The term “standard deviation” (or “”) refers to a measurement of the data’s dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
What is the Relation Between standard deviation and mean in a normal distribution?
A probability bell curve is more properly described as a normal distribution. The mean and standard deviation of a normal distribution are 0 and 1, respectively.
Concept of statement to be True:
A variation from the average value is used to determine standard deviation. When the standard deviation is large, the scores are farther from the mean than when it is low, the results are more in line with the average.
The standard deviation becomes larger as more people have scores that lie farther from the mean value