When we compute a sample standard deviation of a data set, do we subtract the sample mean or the sample median from each of the data values?
Answer :
sample mean
EXPLANATION:
Formula for sample standard deviation (s) is given by:
,
where is the sample mean.
When we compute a sample standard deviation of a data set, do we subtract the sample...
Compute the mean and standard deviation for the following sample of n = 4 scores: 82, 88, 82, 86 (Hint: To simplify the arithmetic, you can subtract 80 points from each score to obtain a new sample consisting of 2, 8, 2, and 6.) Compute the mean and standard deviation for the new sample. Mean: Standard deviation: What are the values of the mean and standard deviation for the original sample? Mean: Standard deviation:
(b) Use the defining formula to compute the sample standard deviation s. Recall the defining formula used to compute the sample standard deviation s = (x − x)2 n − 1 where x is a member of the data set, x is the mean, and n is number of data values. Before using the formula, we must determine x and n. There are five values in the data set 1, 2, 5, 7, 9, so n = _______. Calculate the...
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Calculate the sample standard deviation for this data set: 88, 73, 91. The formula for the sample standard deviation is shown, where n represents the sample size, x represents each value in the data set, and x represents the sample mean. Σ(x-x)" n-1 Step 1. Calculate the sample mean. Step 2. Calculate the deviations and the squares of the deviations. deviation of 88 = square of deviation of 88- deviation of 73 - square of deviation of 73
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Suppose you have the following data, with a mean and standard deviation of 5 and 2.1 3 3 4 5 7 8 If you were to subtract 2 from every observation, what change - if any- would you see in the transformed mean and standard deviation? the mean and standard deviation would decrease the mean wold stay the same but the standard deviation would decrease the mean and standard deviation would stay the same the mean would decrease but the...