Chapter 4, Problem 36E

(a)

To determine

To construct: the stem and leaf plot on basis of given data.

Explanation of Solution

Given:

228, 178, 186, 162, 206, 166, 163, 183, 181, 206, 177, 175, 167, 162, 160, 160, 157, 156, 153, 153, 152

Graph:

Stem unit = 10

Leaf unit = 1

  

By seeing the distribution, it is observed that the distribution is not symmetric distribution the reason is that the distribution is skewed to right and has outliers so median shows the centre of the distribution suitable. There are two outliers.

(b)

To determine

To Explain: the distribution and overall shape and unusual features.

Answer to Problem 36E

Right skewed

Explanation of Solution

Given:

228, 178, 186, 162, 206, 166, 163, 183, 181, 206, 177, 175, 167, 162, 160, 160, 157, 156, 153, 153, 152

Graph:

Stem unit = 10

Leaf unit = 1

  

By seeing the distribution, it is observed that the distribution is skewed to the right although the most of the data points are on the. All but three numbers are over 200 and the number 228 might be an outlier. There are total 21 numbers of the data list so the median is 11^th position. So the median is 166 birds.