Question

About what percentage of households have a number of cars within 2 standard deviations of the mean? a. 68% b. 71% c. 93% d. 95% e. 98%.

Answer 1

Approximately 95% of households have a number of cars within 2 standard deviations of the mean.

Step-by-step explanation:

The question is asking about the percentage of households that have a number of cars within 2 standard deviations of the mean.

According to the Empirical Rule, for a bell-shaped and symmetric distribution, approximately 95 percent of the data is within two standard deviations of the mean. So, about 95% of households have a number of cars within 2 standard deviations of the mean.

Answer 2

Using the Empirical Rule, about 95% of the data for a bell-shaped and symmetric distribution falls within two standard deviations of the mean. Hence, the answer is (d) 95%.

Step-by-step explanation:

The student is asking about the percentage of households with a number of cars within 2 standard deviations of the mean. To answer this question, we can refer to the Empirical Rule or the 68-95-99.7 rule. This rule states that for a bell-shaped and symmetric distribution:

• About 68% of the data falls within one standard deviation of the mean.
• About 95% of the data falls within two standard deviations of the mean.
• More than 99.7% of the data falls within three standard deviations of the mean.

Therefore, the correct answer to the student's question is (d) 95%.