Question

e) using rule #1, are there any outliers in the southsides distribution? show your work.
using rule #2, are there any outliers in the southsides distribution? show your work.
f) remove the value of 285mg from the southside cholesterols data set. use your calculator to find the following values again:

	mean	min	q1	med	q3	max	std. dev

what values changed the most? what values changed the least?
min q1, med q3, all changed

1. when drilling for oil wells, researchers have to take into account how much oil each well will eventually produce before deciding if they should drill in a specific location. in the table below, there are the total amounts of oil recovered from 38 wells in the michigan basin, in thousands of barrels.

3	31	38	50	65	92
13	33	43	50	66	98
15	35	43	53	70	157
19	35	45	56	70
21	35	46	57	74
22	37	48	59	80
25	37	49	63	82

a) what measures would you use to describe the center and spread of these data? justify your answer.

Explanation:

Step1: Identify the problem type

The problem involves analyzing data - sets to find outliers, and measures of central - tendency and spread. This is a statistics problem.

Step2: For part (e) and (f)

Since rule #1 and rule #2 for finding outliers are not given, we cannot solve the outlier - related parts. For part (f), we assume we have a data - set for Southside cholesterol. After removing 285mg, we need to recalculate statistics. But we don't have the full data - set initially. For part 2(a):

To describe the center:

The median is a good measure of the center when the data has outliers or is skewed. The mean can be affected by extreme values. To check for skewness, we can look at the distribution. From the data and the dot - plot, the data seems to be somewhat skewed (there are some larger values like 157). So, the median is a better measure of the center.

To describe the spread:

The inter - quartile range (IQR) is a good measure of spread when using the median as the measure of center. The IQR is not affected by extreme values as much as the standard deviation. The standard deviation is used when the mean is the appropriate measure of center and the data is approximately normally distributed. Since our data may be skewed, the IQR is a more appropriate measure of spread.

Answer:

a) To describe the center, the median is a better measure because the data may be skewed (due to the presence of larger values like 157). To describe the spread, the inter - quartile range (IQR) is a better measure as it is not affected by extreme values as much as the standard deviation and is appropriate when using the median as the measure of center.
e) Cannot be solved as rule #1 for finding outliers is not given.
f) Cannot be fully solved as the initial full data - set for Southside cholesterol is not provided.