The ages, in years, of randomly selected employees are 34, 41, 28, 35, 27, 44, 29, 33, 41, and 39.

find the range, median, mean, and mode

1 answer

To find the range, median, mean, and mode of the ages of the randomly selected employees, we first need to arrange the ages in ascending order:

27, 28, 29, 33, 34, 35, 39, 41, 41, 44

Range: The range is calculated by subtracting the smallest value from the largest value.
Range = 44 - 27 = 17

Median: The median is the middle value when the ages are in order. Since there are 10 values, the median will be the average of the 5th and 6th values.
Median = (34 + 35) / 2 = 34.5

Mean: The mean is calculated by summing all the ages and dividing by the total number of ages.
Mean = (27 + 28 + 29 + 33 + 34 + 35 + 39 + 41 + 41 + 44) / 10 = 34.1

Mode: The mode is the value that appears most frequently in the data set.
In this case, the mode is 41 as it appears twice and is the most frequent value.

Therefore, the range is 17, the median is 34.5, the mean is 34.1, and the mode is 41.