Question

In 2000, the average hours of television watched weekly in a household was 5 with a standard deviation of 1.43. In 2002, average hours of television watched weekly in a household was 8 with a standard deviation of 3.12. Which of the following statements is correct? a. The median number of hours of television watched weekly is 6.5. b. The number of hours is more variable in the year 2002. c. The variance for the number of hours is equal for both years. d. The number of hours is more variable in the year 2000.

Answer 1

The number of hours is more variable in the year 2002.

Step-by-step explanation:

To determine which of the given statements is correct, we need to analyze the provided information and compare the average hours of television watched and the standard deviations in 2000 and 2002.

a. The median number of hours of television watched weekly is 6.5: We cannot determine the median without the actual data values. Therefore, this statement cannot be confirmed or denied.

b. The number of hours is more variable in the year 2002: We can compare the standard deviations to determine the variability. In 2000, the standard deviation is 1.43, and in 2002, it is 3.12. Since the standard deviation is larger in 2002, we can conclude that the number of hours is more variable in that year.

c. The variance for the number of hours is equal for both years: We cannot determine the variance based on the provided data. Therefore, this statement cannot be confirmed or denied.

d. The number of hours is more variable in the year 2000: As mentioned earlier, the standard deviation is larger in 2002, indicating more variability. Therefore, this statement is incorrect.