Question

Complete the chart to find the mean, variance and standard deviation. Round numbers to the nearest tenth.

1. Mean = -82.5
2. Variance = -87.5
3. Standard Deviation = -27.5
4. n = 197.5
5. σ x = ?
6. σ ()2 = 54,225.0

Answer 1

To complete the chart and find the missing values of mean, variance, and standard deviation, we can use the formulas. The mean is found by summing all the data points and dividing by the number of data points. The variance is the average of the squared differences between each data point and the mean. The standard deviation is the square root of the variance.

Step-by-step explanation:

To complete the chart and find the missing values, we can use the formulas for mean, variance, and standard deviation. The mean is calculated by summing all the data points and dividing by the number of data points (n). The variance is the average of the squared differences between each data point and the mean. The standard deviation is the square root of the variance.

Using the given values, we have:

1. Mean = -82.5
2. Variance = -87.5
3. Standard Deviation = -27.5
4. n = 197.5

To find the missing values:

1. Mean = sum of data points / n = -82.5
2. Variance = sum of squared differences / n = -87.5
3. Standard Deviation = square root of variance = -27.5
4. n = 197.5
5. σx = standard deviation = -27.5
6. σ^2 = variance = 54,225.0