The standard deviation, in itself, cannot be high nor low. If the same measurements were recorded using a unit that was a ten times as large (centimetres instead of millimetres), the standard deviation for exactly the same data set would be 1.8. And if they were recorded in metres the sd would be 0.018
Can someone help me find the answer for a sample n=36 with a population mean of of 76 and a mean of 79.4 with a standard deviation of 18?
mean | 30 median | 18 standard deviation | 35.496
3.6
Approx 0.55
The average deviation from the mean, for any set of numbers, is always zero.The average deviation from the mean, for any set of numbers, is always zero.The average deviation from the mean, for any set of numbers, is always zero.The average deviation from the mean, for any set of numbers, is always zero.
The range is 12 and the standard deviation is 3.822448314.
The standard deviation is the square root of the variance. In this case, the square root of 324 is 18. Therefore, the standard deviation of the data values in the population is 18.
The range is 9 and 3.01 is the standard deviation.
Can someone help me find the answer for a sample n=36 with a population mean of of 76 and a mean of 79.4 with a standard deviation of 18?
mean | 30 median | 18 standard deviation | 35.496
√2.5
3.6
Approx 0.55
It means that all of the ten numbers are 15!Standard deviation tells you how spread out the data is from the mean value. Or in other words, it tells you how far the numbers in your data are away from the mean value.If the standard deviation is a high number, it means the data is largely spread out and that there are big differences in the data. The numbers in the data would be quite far from each other. For example, if you had data like: 8, 35, 13, 47, 22, 64, this would probably mean that you'll get a high standard deviation because each of the numbers are very spread out.On the other hand, if the standard deviation is small, it tells you that the numbers in the data are quite close together and that there is only a small difference between the numbers in the data. For example, if you had data like: 19, 25, 20, 22, 23, 18, this would probably mean that you'll get a low standard deviation because each of the numbers aren't that spread outIn the scenario you've given, the standard deviation is ZERO. This means that there is no spread or variation AT ALL with the numbers in your data. This means every single number in the data is the same.Since your mean is 15 and every number in your data is the same, that means that all the ten numbers in your data have to be 15!Hope that makes sense.Jamz159
64.
The formula for the standard deviation of a sample (s) is given by: s =√(⅟₍n₌₁₎Σ(y-ȳ)²) where y are the data points and ȳ is their mean; it can be rearranged to give: s = √(⅟₍n₌₁₎(Σy² - n((Σy)/n)²) → s = √(⅟₍₅₌₁₎(1815 - 5(⁹⁵/₅)²) → s = √(¼ × 10) → s = √2.5
The average deviation of any set of numbers is always 0.