Final answer:
To calculate the standard deviation, find the deviation of each data point from the mean, square each deviation, sum the squared deviations, divide by the number of data points, and take the square root. The median age is found by arranging the data points in ascending order and finding the middle value. The range is calculated by subtracting the smallest value from the largest value.
Step-by-step explanation:
To calculate the standard deviation, we first need to find the deviation of each data point from the mean. For example, if the mean is 32.88 and the first data point is 22, the deviation is 22 - 32.88 = -10.88. We square each deviation, sum the squared deviations, divide by the number of data points (25), and then take the square root to get the standard deviation. The median age can be found by arranging the data points in ascending order and finding the middle value. The range is calculated by subtracting the smallest value from the largest value in the data set.
Standard deviation:
(22 - 32.88)^2 + (49 - 32.88)^2 + (30 - 32.88)^2 + (39 - 32.88)^2 + (49 - 32.88)^2 + ... = X
Standard deviation = sqrt(X/25)
Median:
Arrange data points in ascending order: 22, 30, 39, 49, 49
The median is 39, which is the middle value of the data set.
Range:
Range = Largest value - Smallest value