find the sample variance s2 for the following sample data. Round to the nearest hundred
x: 23 17 12 35 29
Find mean and deviations of each score from mean. Sum these up and divide by number of scores (n). This is the variance.
I'll let you do the calculations.
To find the sample variance (s^2), you need to follow these steps:
Step 1: Find the mean (average) of the sample data.
Step 2: Subtract the mean from each data point and square the result.
Step 3: Sum up these squared differences.
Step 4: Divide the sum by the total number of data points minus 1.
Let's calculate the sample variance (s^2) for the given sample data:
Step 1: Find the mean:
Mean (x̄) = (23 + 17 + 12 + 35 + 29) / 5 = 116 / 5 = 23.2
Step 2: Subtract the mean from each data point and square the result:
(23 - 23.2)^2 = 0.04
(17 - 23.2)^2 = 37.44
(12 - 23.2)^2 = 124.96
(35 - 23.2)^2 = 138.24
(29 - 23.2)^2 = 33.64
Step 3: Sum up these squared differences:
0.04 + 37.44 + 124.96 + 138.24 + 33.64 = 334.32
Step 4: Divide the sum by the total number of data points minus 1:
s^2 = 334.32 / (5 - 1) = 334.32 / 4 = 83.58
Rounded to the nearest hundredth, the sample variance (s^2) for the given sample data is 83.58.