Q: If you want to compare the relative frequency of precipitation amounts, which formula would you use?

$$\text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total Number of Observations}}$$

Q: If you have a data set with values: 2.0, 3.6, 2.2, 3.0, 3.2, what is the formula for calculating the mean?

$$\text{Mean} = \frac{2.0 + 3.6 + 2.2 + 3.0 + 3.2}{5}$$

Q: If you are given a frequency distribution table, how do you calculate the relative frequency for a class?

$$\text{Relative Frequency} = \frac{\text{Class Frequency}}{\text{Total Frequency}}$$

Question 1

Given the daily June precipitation amounts for a US city, if the lower class limit for the first class is 0.5 and the class width is 0.5, what would be the upper class limit for the third class?

Accepted Answer

$$2.0$$

Question 2

If you wanted to create 10 classes for the precipitation data, what would the class width be? (Round to one decimal place.)

Accepted Answer

$$0.4$$

Question 3

Which of the following graphs would NOT be appropriate for displaying zip code data collected from classmates?

Accepted Answer

Histogram

Question 4

What is the shape of the precipitation distribution if most values are clustered around the center with a few extreme values on one side?

Accepted Answer

Skewed right

Question 5

Given the histogram of plant heights, what percent of the plants are between 140cm and 145cm?

Accepted Answer

$$15\%$$

Question 6

For the data set: 23.6, 33.1, 36.2, 29.4, 23.6, 25.9, 34.0, 29.4, what is the mean?

Accepted Answer

$$29.15$$

Question 7

For the same data set, what is the median?

Accepted Answer

$$29.4$$

Question 8

What do the values for the mean and median tell you about the distribution of the data?

Accepted Answer

The data is approximately symmetric

Question 9

For the precipitation data, which measure of center is best to use if the data is skewed?

Accepted Answer

Median

Question 10

If a frequency histogram has a long tail to the right, what is the likely relationship between the mean and median?

Accepted Answer

Mean $$\u003e$$ Median

Question 11

If you are constructing a frequency histogram for precipitation data, what is the first step?

Accepted Answer

Determine class limits and class width

Question 12

Which of the following is NOT a measure of center?

Accepted Answer

Standard deviation

Question 13

If you want to compare the relative frequency of precipitation amounts, which formula would you use?

Accepted Answer

$$	ext{Relative Frequency} = \frac{	ext{Frequency}}{	ext{Total Number of Observations}}$$

Question 14

If the precipitation data has a mode of 1.3 inches, what does this indicate?

Accepted Answer

1.3 inches is the most frequently occurring precipitation amount

Question 15

If you want to visually compare the frequency of different zip codes, which graph would be most appropriate?

Accepted Answer

Bar chart

Question 16

If you have a data set with values: 2.0, 3.6, 2.2, 3.0, 3.2, what is the formula for calculating the mean?

Accepted Answer

$$	ext{Mean} = \frac{2.0 + 3.6 + 2.2 + 3.0 + 3.2}{5}$$

Question 17

If a histogram shows most values clustered at the lower end and a few at the higher end, what is the likely shape?

Accepted Answer

Skewed right

Question 18

If you want to find the mode of a data set, what should you look for?

Accepted Answer

The value that appears most frequently

Question 19

If the mean and median of a data set are equal, what does this suggest about the distribution?

Accepted Answer

The distribution is symmetric

Question 20

If you are given a frequency distribution table, how do you calculate the relative frequency for a class?

Accepted Answer

$$	ext{Relative Frequency} = \frac{	ext{Class Frequency}}{	ext{Total Frequency}}$$

Practice Problems: Frequency Distributions, Graphs, and Measures of Center

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