What is the procedure for using mean and median to determine whether the data is skewed, and if so, in what direction?

1. a. Mean: (14+13+15+21+19+24+25+28+25+31)/10 = 22.3 Median: The median is the middle value when the data is arranged in order. As the data has 10 values, the median would be the value at the 5th position, which is 25%.

b. To determine whether the data is skewed, one can compare the mean and median. If the mean is greater than the median, it suggests that the data is positively skewed. If the mean is less than the median, it suggests that the data is negatively skewed.

c. In this case, the mean is 22.3 and the median is 25%. As the mean is less than the median, it suggests that the data is negatively skewed.

2. a. The random variable will be continuous. A continuous random variable can take on any value within a given interval, and thus is not restricted to certain values.

b. The data will be quantitative. A quantitative random variable can be measured and can have a numerical value.

3. We can use the standard normal distribution table and the z-score formula to find the probability of the driver getting the pit stop in a short enough time to maintain his lead.

Z-score = (12.5 – 13.2)/0.9 = -0.78

Using the standard normal distribution table, we can find that the probability of a z-score being less than -0.78 is 0.22. Therefore, the probability of the driver getting the pit stop in a short enough time to maintain his lead.