To calculate the mean and standard deviation of a set of numbers, you can follow these steps:
1. Find the mean:
- Add up all the numbers in the set: 24 + 27 + 28 + 29 + 32 = 140
- Divide the sum by the total number of values in the set: 140 / 5 = 28
The mean of the set is 28.
2. Find the standard deviation:
- Calculate the difference between each number in the set and the mean:
- (24 - 28) = -4
- (27 - 28) = -1
- (28 - 28) = 0
- (29 - 28) = 1
- (32 - 28) = 4
- Square each difference: (-4)^2 = 16, (-1)^2 = 1, (0)^2 = 0, (1)^2 = 1, (4)^2 = 16
- Find the average of these squared differences:
- (16 + 1 + 0 + 1 + 16) / 5 = 34 / 5 = 6.8
- Take the square root of the average:
- √6.8 ≈ 2.61
The standard deviation of the set is approximately 2.61.
Therefore, the mean of the set is 28 and the standard deviation is approximately 2.61
