Chapter 4, Problem 37E

(a)

To determine

To construct: the dot plot on the basis of given data.

Explanation of Solution

Given:

3, 2, 1, 2, 4, 3, 7, 2, 3, 3, 2, 5, 2, 2, 4, 2, 2, 6, 0, 2, 5, 1, 3, 1, 0, 3, 2, 1, 0, 1, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 1, 3, 0, 1, 3, 2, 1, 2, 1, 1, 0, 5, 6, 1, 3, 3, 2, 3, 6, 7, 2

Graph:

  

On the basis of given data construct the dot plot, it is observed that the distribution is not symmetric it is skewed to right and unimodal. There is maximum frequency on the number of 2 so the mode is 2.

(b)

To determine

To Explain: the distribution.

Explanation of Solution

Given:

3, 2, 1, 2, 4, 3, 7, 2, 3, 3, 2, 5, 2, 2, 4, 2, 2, 6, 0, 2, 5, 1, 3, 1, 0, 3, 2, 1, 0, 1, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 1, 3, 0, 1, 3, 2, 1, 2, 1, 1, 0, 5, 6, 1, 3, 3, 2, 3, 6, 7, 2

Graph:

  

By seeing the distribution, it is observed that the distribution is not symmetric it is skewed to right and unimodal. There is maximum frequency on the number of 2 so the mode is 2. It has no outliers the reason is that the distribution is right skewed or positively skewed therefore the median shows the centre of distribution suitable.