Frequency, Frequency Tables, and Levels of Measurement · Exercise 4

Nineteen immigrants to the U.S were asked how many years, to the nearest year, they have lived in the U.S. The data are as follows:
• 2
• 5
• 7
• 2
• 2
• 10
• 20
• 15
• 0
• 7
• 0
• 20
• 5
• 12
• 15
• 12
• 4
• 5
• 10
.
was produced.

$$\begin{array}{cccc}\text{Data}& \text{Frequency}& \text{Relative Frequency}& \text{Cumulative Relative Frequency}\\ \text{0}& \text{2}& \frac{2}{19}& \text{0.1053}\\ \text{2}& \text{3}& \frac{3}{19}& \text{0.2632}\\ \text{4}& \text{1}& \frac{1}{19}& \text{0.3158}\\ \text{5}& \text{3}& \frac{3}{19}& \text{0.4737}\\ \text{7}& \text{2}& \frac{2}{19}& \text{0.5789}\\ \text{10}& \text{2}& \frac{2}{19}& \text{0.6842}\\ \text{12}& \text{2}& \frac{2}{19}& \text{0.7895}\\ \text{15}& \text{1}& \frac{1}{19}& \text{0.8421}\\ \text{20}& \text{1}& \frac{1}{19}& \text{1.0000}\end{array}$$

(a) Fix the errors in. Also, explain how someone might have arrived at the incorrect number(s).
(b) Explain what is wrong with this statement: “47 percent of the people surveyed have lived in the U.S. for 5 years.”
(c) Fix the statement in b to make it correct.
(d) What fraction of the people surveyed have lived in the U.S. five or seven years?
(e) What fraction of the people surveyed have lived in the U.S. at most 12 years?
(f) What fraction of the people surveyed have lived in the U.S. fewer than 12 years?
(g) What fraction of the people surveyed have lived in the U.S. from five to 20 years, inclusive?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §1.3 Frequency, Frequency Tables, and Levels of Measurement · Exercise 4