Problem
QUESTION $17 \cdot 1$ POINT The following data values represent the daily amount spent by a family during a 5 day summer vacation. Find the standard deviation of this dataset: \[ \$ 120, \$ 60, \$ 250, \$ 120, \$ 200 \] - Round the final answer to one decimal place. Provide your answer below: \[ \text { std }= \] - Previous
Solution
Step 1 ：Given data values are \$120, \$60, \$250, \$120, \$200.
Step 2 ：Calculate the mean of the data values, which is \$150.0.
Step 3 ：Subtract the mean from each data value and square the result, obtaining 900.0, 8100.0, 10000.0, 900.0, 2500.0.
Step 4 ：Find the mean of these squared differences, which is 4480.0.
Step 5 ：Take the square root of the mean of the squared differences to get the standard deviation, which is 66.9.
Step 6 ：Round the standard deviation to one decimal place, obtaining \(\boxed{66.9}\).
