Question

Fiona recorded the number of miles she biked each day last week as shown below. 4, 7, 4, 10, 5 The mean is given by m = 6. Which equation shows the variance for the number of miles Fiona biked last week?

Answer 1

The equation that represents the variance for the number of miles Fiona biked last week is Var(x) = 5.2.

Step-by-step explanation:

To find the equation that represents the variance for the number of miles Fiona biked last week, we can use the formula for variance. Variance is the average of the squared differences between each data point and the mean. Let's use the given mean of 6 and the recorded miles: 4, 7, 4, 10, 5.

Step 1: Subtract the mean from each data point: 4-6 = -2, 7-6 = 1, 4-6 = -2, 10-6 = 4, 5-6 = -1

Step 2: Square each result: (-2)^2 = 4, 1^2 = 1,(-2)^2 = 4, 4^2 = 16, (-1)^2 = 1

Step 3: Find the average of the squared differences: (4 + 1 + 4 + 16 + 1)/5 = 26/5 = 5.2

The equation for the variance is Var(x) = 5.2. Therefore, the correct equation that shows the variance for the number of miles Fiona biked last week is Var(x) = 5.2.

Answer 2

The answer to this question is D) a^2= (4-6)^2+(7-6) etc.