Chapter 1.2, Problem 46E

(a)

To determine

To graph: Construct a dot plot for the given data set.

Explanation of Solution

Given information: The lengths of the first 25 words from Toni Morrison’s Song of Solomon is given as follows

2, 3, 4, 10, 2, 11, 2, 8, 4, 3, 7, 2, 7, 5, 3, 6, 4, 4, 2, 5, 8, 2, 3, 4, 4.

Graph:

  

A positively skewed data is the data in which most of the values lie to the left. Here, most of the observations are lying between 2 and 5.

Interpretation: As, the data seems to be skewed towards right so it is a positively skewed data with highest frequency at 2 and 4.

(b)

To determine

Percentage of words which have letters equal to or greater than 8 in a sample.

Answer to Problem 46E

The percentage of words with letters 8 or more is $16\%$ for the given sample.

Explanation of Solution

Given:

Total number of words in a sample $=25$

Number of words with length 8 or more $=4$

Calculation:

Let p be percentage of words with letters 8 or more.

  $p=\frac{4}{25}\times 100=16\%$