Question

Consider the following data set:

11,24,7,13,18,14,16,24,18,6,13
Use desmos to find the mean and standard deviation.

Answer 1

To find the mean and standard deviation of a dataset on Desmos, input the data into a list and apply the statistical functions mean() and stdDev(), then round the standard deviation to the nearest tenth. To find a value one standard deviation below the mean, subtract the standard deviation from the mean.

Step-by-step explanation:

To calculate the mean and standard deviation of a dataset using Desmos, enter the numbers into a list and use the available statistical functions. For the dataset 11, 24, 7, 13, 18, 14, 16, 24, 18, 6, 13:

1. Enter the data into a list, for example, list1 = [11, 24, 7, 13, 18, 14, 16, 24, 18, 6, 13].
2. Use Desmos to calculate the mean using the mean() function: mean(list1).
3. Calculate the standard deviation using the stdDev() function: stdDev(list1).
4. Round the standard deviation to the nearest tenth as required.
5. To find the value that is one standard deviation below the mean, subtract the standard deviation from the mean.

For example, if the mean of this dataset is 15 and the standard deviation is 6.2 (rounded to the nearest tenth), the value that is one standard deviation below the mean would be 15 - 6.2 = 8.8.