Question 1

Why might a Lorenz curve provide a suitable way to compare the distribution of wealth in the UK, US and Japan?

Accepted Answer

The Lorenz curve is specifically designed to show how wealth or income is distributed across a population, making it an ideal tool for comparing the distribution of wealth among different countries like the UK, US, and Japan. It visually represents inequality by plotting the cumulative percentage of income or wealth against the cumulative percentage of the population.

Question 2

Which of the following is NOT true of grouped frequency distributions?

Accepted Answer

Classes in a grouped frequency distribution do not always have to have equal width, although it is common practice for simplicity and clarity.

Question 3

Which of the following is the best description of a histogram?

Accepted Answer

A histogram is a type of bar chart that displays the frequency of data within equal intervals, using joined vertical bars to represent each class or interval.

Question 4

Estimate the total value for a class with limits 20 to 29 and a frequency of 14

Accepted Answer

The answer of Estimate the total value for a class...

Question 5

Why might a cumulative frequency distribution be useful in monitoring the number of apples in each bag of pre-packed fruit?

Accepted Answer

A cumulative frequency distribution is useful because it shows the number of items with fewer than a specified number of fruit, helping to understand the distribution and identify trends or patterns.

Question 6

For which of these examples of data would a frequency distribution be most useful?

Accepted Answer

A frequency distribution is most useful for categorical data or discrete data where you want to see how often each category or value occurs. Counting the number of cars carrying passengers is a discrete count that can be effectively summarized using a frequency distribution.

Question 7

What term best describes numerical data that have been carefully collected but not yet worked on?

Accepted Answer

Raw data refers to data that have been collected but not yet processed or analyzed. It is the initial dataset gathered from various sources before any manipulation or analysis.

Question 8

Which of the following is NOT an appropriate way to represent a frequency distribution pictorially?

Accepted Answer

A frequency polygon, histogram, and frequency curve are all appropriate ways to represent a frequency distribution pictorially. A bar chart, however, is typically used for categorical data, not for representing a frequency distribution of continuous or interval data.

Question 9

The analysis of information from a large sales team results in a frequency distribution showing the number of appointments with clients each week. One class is 10 to 14 appointments. What is the mid-point of this class?

Accepted Answer

The answer of The analysis of information from a large...

Question 10

What is the best way to deal with a frequency distribution that has a large number (more than 20) distinct data values?

Accepted Answer

Constructing a grouped frequency distribution is the best way to deal with a large number of distinct data values because it organizes the data into intervals, making it easier to understand and analyze.

Quiz 4: Frequency Distributions and Charts