Hope it helps.
Answer:
2.6
Explanation:
To calculate the variance of a data set, we need to first find the mean (average) of the data set.
Mean = (7 + 3 + 9 + 5 + 7 + 5 + 6) / 7 = 6
Next, we need to subtract the mean from each data point and square the result:
(7 - 6)^2 = 1
(3 - 6)^2 = 9
(9 - 6)^2 = 9
(5 - 6)^2 = 1
(7 - 6)^2 = 1
(5 - 6)^2 = 1
(6 - 6)^2 = 0
Then, we need to find the average of these squared differences:
(1 + 9 + 9 + 1 + 1 + 1 + 0) / 7 = 2.57 (rounded to the nearest tenth)
Therefore, the variance of the data set is approximately 2.6.