The following data describes the rainfall.

Jan - 1
Feb - 3
Mar - 1
Apr - 2
May - 2
Jun - 2
Jul - 19
Aug - 21
Sep - 3
Oct - 3
Nov - 2
Dec - 3

Which statement best describes the averages?

A. The mean is the least appropriate to use to describe the average rainfall.
B. The mean is the most appropriate to use to describe the average rainfall.
C. The median is the least appropriate to use to describe the average rainfall.
D. The mode is the least appropriate to use to describe the average rainfall.

Please help.

Since mean and average are the same, the best answer is B.

I would disagree with Ms. Sue. Since the mean is most influenced by deviant scores, it would be least appropriate. To test this out, calculate the means with and without the July-August data.

I hope this helps. Thanks for asking.

To determine which statement best describes the averages of the rainfall data, we need to understand the different measures of central tendency: mean, median, and mode.

1. Mean: The mean is calculated by finding the sum of all the values in a dataset and dividing it by the number of values. It is commonly referred to as the average.

2. Median: The median is the middle value of a dataset when it is arranged in ascending or descending order. If there is an even number of values, the median is the average of the two middle values.

3. Mode: The mode is the value that appears most frequently in a dataset. There can be more than one mode or no mode at all.

Now, let's analyze the given rainfall data:

Jan - 1
Feb - 3
Mar - 1
Apr - 2
May - 2
Jun - 2
Jul - 19
Aug - 21
Sep - 3
Oct - 3
Nov - 2
Dec - 3

To find the mean, we need to add up all the values and divide by the total number of months (12 in this case):
Mean = (1 + 3 + 1 + 2 + 2 + 2 + 19 + 21 + 3 + 3 + 2 + 3) / 12 = 80 / 12 ≈ 6.67

To find the median, we need to arrange the values in ascending order:
1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 19, 21

The median is the middle value, which in this case is 2.

To find the mode, we need to identify the value(s) that appear(s) most frequently. In this dataset, the mode is also 2 because it appears four times, more than any other value.

Now, let's evaluate each statement:

A. The mean is the least appropriate to use to describe the average rainfall.
This statement is not accurate because the mean takes into account all the values in the dataset, providing a comprehensive measure of central tendency.

B. The mean is the most appropriate to use to describe the average rainfall.
This statement is a possibility since the mean considers all the values and gives an overall average.

C. The median is the least appropriate to use to describe the average rainfall.
This statement is not accurate because the median provides the middle value, which can be representative of the average when there are extreme values in the dataset.

D. The mode is the least appropriate to use to describe the average rainfall.
This statement is not accurate because the mode is a valid measure of central tendency, especially when looking for the most common value(s) in the rainfall data.

By comparing the statements, we can conclude that the most accurate option is:

B. The mean is the most appropriate to use to describe the average rainfall.

Please note that this is an evaluation based on the given information. The appropriateness of each measure of central tendency depends on the characteristics of the dataset and the purpose of the analysis.