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Sagot :
The histogram to the right shows the neck sizes (in inches) of the men recruited for a health study. The mean and standard deviation is the summary statistics which would be chosen to summarize the center and spread in these data.
What is the reason behind choosing mean and standard deviation?
A group of scores are averaged to form the mean. The total scores were divided by the total scores. When population samples are tiny, the mean is susceptible to extreme scores. For instance, if two students in a class of 20 scored significantly higher than the others, the mean will be skewed higher than the other students' scores may suggest. When using means, bigger sample sizes are preferable.
In statistics, the measurement of variability known as the standard deviation (SD) is frequently utilized. It demonstrates how different things are from the norm (mean). While a high SD shows that the data are dispersed throughout a wide range of values, a low SD suggests that the data points tend to be close to the mean.
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