Section 3.1 Homework

3. Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given questions.

Find the mean.

The mean is

Find the median.

The median is

Find the mode.

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

1. The​ mode(s) is(are) ______
2. There is no mode.

Are the resulting statistics representative of the population of all TVs that are 60 inches and​ larger? Choose the best answer below.

1. Since the sample is random and the sample size is greater than​ 10, the sample should not be considered to be representative of the population.
2. The sample consists of the​ “best buy”​ TVs, so it is not a random sample and is not likely to be representative of the population.
3. The sample consists of the​ “best buy”​ TVs, so it is a random sample and is likely to be representative of the population.
4. Since the sample is random and the sample size is greater than​ 10, the sample can be considered to be representative of the population.

If you decide to buy one of these​ TVs, what statistic is most​ relevant, other than the measures of central​ tendency? Choose the best answer below.

1. The difference between the lowest price and the highest price is a relevant statistic for someone planning to buy one of the TVs.
2. The lowest price is a relevant statistic for someone planning to buy one of the TVs.
3. The highest price is a relevant statistic for someone planning to buy one of the TVs.
4. The price that occurs least frequently is a relevant statistic for someone planning to buy one of the TVs.