Question

Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in thetable below and used the shaded columns to calculate three sample means. What is the range of the values for thesample means?463Hours of Swim Practice53352447u ooo53234.6123.754.75

Answer 1

gAnswer

Range of the sample means = 3.34

Step-by-step explanation

The range is defined as the difference between the highest and the lowest number. Mathematically,

Range = Highest number - Lowest number

So, the range of the sample means is the difference between the highest and the lowest sample means.

Range of the sample means =

(Sample mean with the highest value) - (Sample mean with the lowest value)

From the table, we can calculate the sample means. The sample mean is given as the sum of the variables divided by the number of variables.

Note that we are told that Charles used only the shaded columns to calculate three sample means. The shaded columns, grouped include

4, 3, 3. Mean = 3.33

8, 5, 7. Mean = 6.67

6, 4, 3. Mean = 4.33

5, 3, 6. Mean = 4.67

Sample mean with the highest value = 6.67

Sample mean with the lowest value = 3.33

Range of the sample means = 6.67 - 3.33 = 3.34

Hope this Helps!!!