What is the sample standard deviation of the following data set?x = { 41, 42, 45, 47, 48, 50, 51, 53, 57, 58, 59, 61, 62, 64, 67, 69 }Round your answer to the nearest hundredths place (X.X format).

To calculate the sample standard deviation, follow these steps:

1. Calculate the mean (average) of the data set. Add all the numbers together and divide by the number of data points.

2. Subtract the mean from each data point to get the deviation of each point.

3. Square each deviation.

4. Add up all the squared deviations.

5. Divide the sum of the squared deviations by the number of data points minus 1 (this is what makes it the sample standard deviation rather than the population standard deviation).

6. Take the square root of the result from step 5. This is the sample standard deviation.

Let's do the calculation:

1. Mean: (41+42+45+47+48+50+51+53+57+58+59+61+62+64+67+69) / 16 = 54.25

2. Deviations: -13.25, -12.25, -9.25, -7.25, -6.25, -4.25, -3.25, -1.25, 2.75, 3.75, 4.75, 6.75, 7.75, 9.75, 12.75, 14.75

3. Squared deviations: 175.5625, 150.0625, 85.5625, 52.5625, 39.0625, 18.0625, 10.5625, 1.5625, 7.5625, 14.0625, 22.5625, 45.5625, 60.0625, 95.0625, 162.5625, 217.5625

4. Sum of squared deviations: 1050.25

5. Divide by n-1: 1050.25 / 15 = 70.01666666666667

6. Square root: √70.01666666666667 = 8.37 (rounded to the nearest hundredths place)

So, the sample standard deviation of the data set is 8.37.