Answer:
There are no values in the data that is two standard deviations below the mean.
Step-by-step explanation:
We are given the following data set in question:
165, 171, 174, 180, 182, 188, 189, 192, 198, 202, 202, 225, 228, 235, 240
Formula:
where are data points,
is the mean and n is the number of observations.
The mean of sample is 198.06 pounds.
Sum of squares of differences = 7984.93
The sample standard deviation is 23.88 pounds.
We have to find the weight that is 2 standard deviations below the mean.
Thus, we have to find a value less than 150.3.
Sorted data: 165, 171, 174, 180, 182, 188, 189, 192, 198, 202, 202, 225, 228, 235, 240
There are no values in the data that is less than 150.3