Question

South Carolina counties Here is a stemplot of the areas of the 46 counties in South Carolina. Note that the data have been rounded to the nearest 10 square miles (mi 2 ).

Part (a) What is the area of the largest South Carolina county?

Part (b). Describe the distribution of area for the 46 South Carolina counties.

Short answer

Part (a) The area ranges from 1215 to 1224. 99 square kilometers (including).

Part (b)

Right-skewed, with a peak at stem 5, no gaps, no outliers, and a median area of 655 square miles (approximately)

The counties' areas range from 385 square miles to 1225 square miles

Step-by-step solution

Part (a) Step 1. Given information. 

3	9999
4	0116689
5	01115566778
6	47899
7	01245579
8	0011
9	13
10	8
11	233
12	2

Part (a) Step 2. The area of the largest South Carolina county 

Stem	Leaf
3	9999
4	0116689
5	01115566778
6	47899
7	01245579
8	0011
9	13
10	8
11	233
12	2

Key: $\overline{)6}\overline{)4}$means 635 to 644.99 square miles for some county

The largest South Carolina county's area is given at the very bottom of the stemplot, which is 122, implying that the largest South Carolina county has an area of between 1215 and 1224.99 square miles (including); or approximately 1220 square miles.

As a results: The area ranges from 1215 to 1224. 99 square kilometers (including).

Part (b) Step 1. The area distribution of South Carolina's 46 counties

The distribution is skewed to the right because the majority of data values are near the top of the stemplot (corresponding with small values) and a tail of less common data values are near the bottom of the stemplot (corresponding with large values)

The distribution has a peak at stem 5, while the stemplot has no gaps, implying that there is no outlier.

Because the median is approximately the middle value of the sort data set, it appears to be approximately 655 square miles.

The counties range in size from 385 square miles to 1225 square miles.

Right-skewed, with a peak at stem 5, no gaps, no outliers, and a median area of 655 square miles (approximately)

The counties' areas range from 385 square miles to 1225 square miles