a. Find the mean, median, and range for each of the two data sets.

b. Find the standard deviation using the rule of thumb for each of the data sets.

c. Compare the two sets and describe what you discover.

The following data sets shows the ages of the first seven presidents (President Washington through President Jackson) and the seven most recent presidents including President Obama. Age is given at time of inauguration.

First 7: 57 61 57 57 58 57 61

Second 7: 61 52 69 64 46 54 47

What is it you don't understand about these problems? We'll be glad to help you if we know what you don't understand.

C is the one that is getting me

What am I looking for when I compare the 2 sets. I have the answers for A and B.

I haven't done the math -- but just eyeballing these numbers, it seems that the range is greater in the more recent presidents and that probably the mean age is younger.

To find the mean, median, and range for each data set, as well as the standard deviation using the rule of thumb, follow these steps:

a. Finding the mean, median, and range:
1. Mean: Add up all the values in the data set and divide by the total number of values. For the first data set, the mean is calculated as follows:
Mean = (57 + 61 + 57 + 57 + 58 + 57 + 61) / 7
= 408 / 7
= 58.28 (rounded to two decimal places)

For the second data set, the mean is calculated as follows:
Mean = (61 + 52 + 69 + 64 + 46 + 54 + 47) / 7
= 393 / 7
= 56.14 (rounded to two decimal places)

2. Median: Arrange the values in ascending order and find the middle value. If there are two middle values, find their average. For the first data set, after arranging the values in ascending order, the median is the middle value, which is 57.

For the second data set, the median is also 57.

3. Range: Subtract the smallest value from the largest value in each data set. For the first data set, the range is calculated as follows:
Range = Largest value - Smallest value
= 61 - 57
= 4

For the second data set, the range is calculated as follows:
Range = Largest value - Smallest value
= 69 - 46
= 23

b. Finding the standard deviation using the rule of thumb:
The rule of thumb for estimating standard deviation is to take the range and divide it by 4. For the first data set, the standard deviation is calculated as follows:
Standard deviation = Range / 4
= 4 / 4
= 1

For the second data set, the standard deviation is calculated as follows:
Standard deviation = Range / 4
= 23 / 4
= 5.75 (rounded to two decimal places)

c. Comparing the two data sets:
When comparing the two data sets for the ages of the Presidents, we can observe the following:

1. Mean: The mean age for the first data set is 58.28, while for the second data set, it is 56.14. On average, the first group of Presidents is slightly older than the second group.

2. Median: Both data sets have a median age of 57, indicating that half of the Presidents were younger than or equal to 57 at the time of inauguration.

3. Range: The range of the first data set is 4, while the range of the second data set is 23. This suggests that the ages of the second group of Presidents have a wider spread compared to the first group.

4. Standard Deviation: The standard deviation for the first data set is 1, while for the second data set, it is 5.75. The higher standard deviation for the second group indicates a greater dispersion of ages within the group.

In summary, the two data sets show some differences in terms of mean, range, and standard deviation, indicating variations in the ages of the presidents between the two groups. The median age, however, remains the same for both groups.