Calculate the standard deviation of the sample quantitative data shown, to two decimal places. x 5 10.6 2 24.7 22.3 18.9 Standard deviation:

To calculate the standard deviation of the sample data, 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:

   (5 + 10.6 + 2 + 24.7 + 22.3 + 18.9) / 6 = 83.5 / 6 = 13.92

2. Subtract the mean from each data point and square the result. This gives you the squared deviations:

   (5 - 13.92)^2 = 79.69 (10.6 - 13.92)^2 = 11.02 (2 - 13.92)^2 = 141.70 (24.7 - 13.92)^2 = 115.76 (22.3 - 13.92)^2 = 70.22 (18.9 - 13.92)^2 = 24.80

3. Calculate the average of these squared deviations. This is called the variance:

   (79.69 + 11.02 + 141.70 + 115.76 + 70.22 + 24.80) / 6 = 442.19 / 6 = 73.70

4. Take the square root of the variance to get the standard deviation:

   √73.70 = 8.58

So, the standard deviation of the sample data is 8.58 (to two decimal places).