Дисперсия ряда 24 25 27 27 27 24 28

To calculate the variance of a data set, follow these steps:

Step 1: Find the mean of the data set. The mean (average) is found by adding up all the values and dividing by the total number of values.

(24 + 25 + 27 + 27 + 27 + 24 + 28) / 7 = 182 / 7 = 26

Step 2: Subtract the mean from each value and square the result. For each value, subtract the mean and square the result.

(24 - 26)² = 4 (25 - 26)² = 1 (27 - 26)² = 1 (27 - 26)² = 1 (27 - 26)² = 1 (24 - 26)² = 4 (28 - 26)² = 4

Step 3: Calculate the sum of the squared differences. Add up all the squared differences from step 2.

4 + 1 + 1 + 1 + 1 + 4 + 4 = 16

Step 4: Calculate the variance. Divide the sum of squared differences from step 3 by the number of values in the data set.

16 / 7 = 2.2857

So, the variance of the data set is approximately 2.2857.