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Find (a) the range and (b) the standard deviation of the data set 141,116,117,135,126,121 . Round to the nearest hundredth if necessary.

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Final answer:

The range of the data set is 25 and the standard deviation is approximately 9.22.

Step-by-step explanation:

To find the range of a data set, you subtract the smallest value from the largest value. In this case, the smallest value is 116 and the largest value is 141. So the range is 141 - 116 = 25.

To find the standard deviation, you can use a formula. First, calculate the mean of the data set by adding up all the values and dividing by the total number of values. In this case, the sum of the values is 756 and there are 6 values. So the mean is 756 / 6 = 126.

Next, subtract the mean from each value, square the result, and add them up. Then divide the sum by the total number of values. Finally, take the square root of the result. Using these steps, the standard deviation of the data set is approximately 9.22.

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