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Answer: The range of the set of numbers is 46 and the standard deviation is 14.44 .
Explanation:
In is given that the observations are 65, 59, 43, 43, 40, 63, 71, 77, 31, 64.
From given data it is noticed that the highest observation is 77 and the lowest observation is 31.
Range = Highest observation - Lowest observation
Range = 77 - 31 = 46
To find the standard deviation, first we have to find the mean.
Total of the observations is 556 and number of observation is 10.
Formula fr standard deviation is,
To find the above values form a table as shown below.
Therefore, the range of the set of numbers is 46 and the standard deviation is 14.44 .
The standard deviation for the number of people with the genetic mutation in such groups is 3.1305.
<h3>Standard Deviation</h3>In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
Let X be the number of people with genetic mutation is a group of 500,
The formula of standard deviation is given as
The standard deviation of the given sample is 3.1305
Learn more on standard deviation here;
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