Find the mean median and mode of the given data set:

5, 7, 19, 24, 10, 17, 21, 6, 22, 5, 9

Mean, median, and mode are important statistics parameters to analyze any data set.

Answer: The mean, median, and mode for the given data set are 13.18, 10, 5 respectively.

Let's go through the explanation to understand better.

Explanation:

To find the mean, median, and mode for:

5, 7, 19, 24, 10, 17, 21, 6, 22, 5, 9

Mean = (Sum of all quantities) / (Total number of quantities)

Mean = (5 + 7 + 19 + 24 + 10 + 17 + 21 + 6 + 22 + 5 + 9) / 11

Mean = 145 / 11 = 13.18

Median is the centermost quantity from the data that is arranged in ascending order.

Arranging the data set in ascending order, we get:

5, 5, 6, 7, 9, 10, 17, 19, 21, 22, 24

T = (11 + 1) / 2 th term = 6th term

T6 = 10 = median of the given data set.

Mode is that quantity in the given data set, which repeats itself a maximum number of times in the given data set.

The mode of the given data set is 5 as it is repeated the maximum number of times.

Thus, the mean, median, and mode for the given data set are 13.18, 10, 5 respectively.