Q: Which of the following is a correct formula for calculating relative frequency?

$$\text{Relative Frequency} = \frac{\text{Frequency of the class}}{\text{Total number of observations}}$$

Question 1

Which of the following statements about histograms is TRUE?

Accepted Answer

The width of each class in a histogram should be the same to accurately represent the data.

Question 2

Given the frequency distribution table for weights of 37 males, what is the relative frequency for the class 160-under 180?

Accepted Answer

$$0.37383784$$

Question 3

If you are constructing a histogram and one of your classes has a frequency of zero, how should this be represented?

Accepted Answer

Draw a bar with height zero for that class.

Question 4

Why do frequency and relative-frequency histograms have proportionally the same shape?

Accepted Answer

Because the relative frequency is calculated by dividing each frequency by the total number of observations.

Question 5

A dotplot is most useful for which type of data?

Accepted Answer

Small to moderate-sized quantitative datasets.

Question 6

In a stem-and-leaf plot, what does the 'stem' represent?

Accepted Answer

All but the rightmost digit of each data value.

Question 7

Given the following stem-and-leaf plot using two lines per stem, what is the advantage of this method?

Accepted Answer

It allows for a more detailed display of the distribution within each stem.

Question 8

Suppose you have a dataset of cholesterol levels: 199, 200, 202, 203, 208, 209, 210, 210, 210, 212, 213, 214, 215, 217, 218, 218, 221. What would be the stem for the value 218 in a stem-and-leaf plot?

Accepted Answer

21

Question 9

If the class width in a histogram is set too large, what is a likely consequence?

Accepted Answer

The histogram may obscure important features of the data distribution.

Question 10

Which of the following is a correct formula for calculating relative frequency?

Accepted Answer

$$	ext{Relative Frequency} = \frac{	ext{Frequency of the class}}{	ext{Total number of observations}}$$

Question 11

In a histogram, what does the height of each bar represent?

Accepted Answer

The frequency or relative frequency of data values within that class interval.

Question 12

When constructing a frequency distribution, why must each observation belong to only one class?

Accepted Answer

To ensure the total frequency equals the number of observations.

Question 13

A dotplot of DVD player prices shows several dots stacked above $$210. $$What does this indicate?

Accepted Answer

There are multiple DVD players priced at $$210.$$

Question 14

If a stem-and-leaf plot uses two lines per stem, which digits are typically included in the first line?

Accepted Answer

Digits 0, 1, 2, 3, 4

Question 15

Which of the following best describes the purpose of organizing data into frequency distribution tables?

Accepted Answer

To summarize large datasets and reveal patterns in the data.

Question 16

A histogram is constructed for the weights of 37 males with a class width of $$20. If $$the lowest class is $$120-$$under $$140$$, what is the next class interval?

Accepted Answer

$$140-$$under $$160$$

Question 17

If you want to compare the shapes of two distributions with different sample sizes, which type of histogram should you use?

Accepted Answer

Relative-frequency histogram

Question 18

Which of the following is NOT a guideline for constructing a frequency distribution?

Accepted Answer

The number of classes should be large enough to show every individual value.

Question 19

A stem-and-leaf plot is constructed for cholesterol levels. If the stem is '20' and the leaves are '0 0 0 2 3 4', what are the actual cholesterol levels represented?

Accepted Answer

200, 200, 200, 202, 203, 204

Question 20

Which visualization method is most appropriate for displaying the distribution of a small set of quantitative data, such as the prices of 16 DVD players?

Accepted Answer

Dotplot

Organizing Quantitative Data: Histograms, Dotplots, and Stem-and-Leaf Displays

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