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If the mean and standard deviation are good measurements, the data should not contain any outliers. To check for this, plot the data on a number line.
Mean: 39.76
Standard deviation: 15.69
If the mean and standard deviation are good measurements for summarizing the data, we should not have any outliers. To determine if this is the case, we will plot them on a number line and look for outliers.
Examining the number line, we cannot detect any outliers. Therefore, the mean and standard deviation are a good way to describe the sample.
Having entered the values, return to the calculator window by pushing 2ND and MODE.
To find the mean, push 2ND and scroll right until you reach MATH. Choose the third option, mean,
and select the first list by pushing 2ND and 1. Then hit ENTER.
To calculate the standard deviation, push STAT and scroll right until you reach CALC. Choose the first option, 1-Var Stats.
The standard deviation is given by σ x. Therefore, the standard deviation is 15.69.