Q: Which of the following is the correct formula for calculating class width in a histogram?

$$\text{Class width} = \text{Upper boundary} - \text{Lower boundary}$$

Question 1

Which of the following best describes a histogram?

Accepted Answer

A graph that uses vertical bars to show frequencies across different classes.

Question 2

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

Accepted Answer

The frequency of data values within each class.

Question 3

Given the following class intervals: 0-2, 3-5, 6-8, 9-11, 12-14, what is the class width?

Accepted Answer

$$3$$

Question 4

A histogram of exam scores is skewed right. Which of the following best describes the distribution?

Accepted Answer

Most students scored low, with a few high scores.

Question 5

If a histogram shows a uniform distribution, what does this indicate about the data?

Accepted Answer

All classes have approximately the same frequency.

Question 6

Which of the following is NOT a step in creating a histogram using a TI-84 calculator?

Accepted Answer

Calculating the mean and median before plotting.

Question 7

A frequency distribution table has the following classes: 0-2, 3-5, 6-8, 9-11, 12-14. If the frequency for 3-5 is 15, what does this mean?

Accepted Answer

There are 15 data values between 3 and 5 inclusive.

Question 8

Which histogram shape would you expect from the distribution of ages in a retirement community?

Accepted Answer

Skewed left

Question 9

If a histogram is skewed left, which of the following is most likely true?

Accepted Answer

Most data values are high, with a few low values.

Question 10

A student creates a histogram of the number of books read in a month with the following frequencies: 0-2 (3), 3-5 (12), 6-8 (7), 9-11 (5), 12-14 (2). What is the total number of students surveyed?

Accepted Answer

$$3 + 12 + 7 + 5 + 2 = 29$$

Question 11

Which of the following best explains why histograms are useful in analyzing real-world data?

Accepted Answer

They visually display the distribution and frequency of data across intervals.

Question 12

A histogram of time spent studying for an exam shows most students studied between 0-2 and 3-5 hours, with fewer students in higher intervals. What is the likely shape of the histogram?

Accepted Answer

Skewed right

Question 13

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

Accepted Answer

Important details about the data distribution may be lost.

Question 14

Which of the following is the correct formula for calculating class width in a histogram?

Accepted Answer

$$	ext{Class width} = 	ext{Upper boundary} - 	ext{Lower boundary}$$

Question 15

A researcher wants to display the distribution of cholesterol levels in adults. Which type of graph should they use?

Accepted Answer

Histogram

Question 16

If a histogram has a single peak and frequencies decrease symmetrically on both sides, what is the shape called?

Accepted Answer

Normal

Question 17

A teacher uses a histogram to analyze test scores and notices two distinct peaks. What does this suggest about the data?

Accepted Answer

The distribution is bimodal.

Question 18

Which of the following is a common mistake when interpreting histograms?

Accepted Answer

Assuming the height of the bar represents the actual data values.

Question 19

A hospital records the number of patients admitted each day for a month and creates a histogram. If the histogram is skewed left, what might this indicate about admissions?

Accepted Answer

Most days have high admissions, with a few days of low admissions.

Question 20

A student wants to determine the number of classes in a histogram. The class intervals are 0-2, 3-5, 6-8, 9-11, 12-14. What is the number of classes?

Accepted Answer

$$5$$

Histograms: Construction, Interpretation, and Calculator Use

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