Question

The following results were obtained: coefficient of variation is 50%, Karlee Pearson's coefficient of skewness is 0.5, and standard deviation is 2. Find the mean and mode.

Options:
A) Mean = 4, Mode = 2
B) Mean = 2, Mode = 4
C) Mean = 3, Mode = 2
D) Mean = 2, Mode = 3

Answer 1

To find the mean and mode, divide the standard deviation by the coefficient of variation. In this case, the mean is 4 and the mode is 2.

Step-by-step explanation:

To find the mean and mode, we can use the given information about the coefficient of variation, coefficient of skewness, and standard deviation. Since the distribution is symmetrical, the mean, median, and mode will all be fairly close to each other. However, the mean reflects the skewing more than the median.

The coefficient of variation tells us the standard deviation as a percentage of the mean. Using this information, we can calculate the mean by dividing the standard deviation by the coefficient of variation (50% = 0.5).

Therefore, the mean is 2 / 0.5 = 4. Since the mode lies close to the middle of the data and the median is 3, the mode is 2. Therefore, the correct option is A) Mean = 4, Mode = 2.