Measures of the Spread of the Data · Example 1
• For the following problems, recall that value = mean + (#ofSTDEVs)(standard deviation). Verify the mean and standard deviation on a calculator or computer. Note that these formulas are derived by algebraically manipulating the z-score formulas, given either parameters or statistics.
• For a sample: x = + (#ofSTDEVs)(s)
• For a population: x = μ + (#ofSTDEVs)(σ)
• For this example, use x = + (#ofSTDEVs)(s) because the data is from a sample
(a) Verify the mean and standard deviation on your calculator or computer.
(b) Find the value that is one standard deviation above the mean. Find ( + 1s).
(c) Find the value that is two standard deviations below the mean. Find ( – 2s).
(d) Find the values that are 1.5 standard deviations from (below and above) the mean.
OpenStax, Statistics · §2.7 Measures of the Spread of the Data · Example 1
No hints for this one.
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