Comparison and Inference Between Data

The box-and-whisker plots summarize the hourly wages of employees at two different fitness clubs. Based on the box-and-whisker plots, which statement must be valid?

• Fitness Plus has a smaller spread in the upper 25% of the hourly wages than The Fitness Center

• Fitness Plus has a smaller spread in the middle 50% of the hourly wages than The Fitness Center

• The Fitness Center has more employees earning an hourly wage of $17 than Fitness Plus

• The Fitness Center has a larger range in employee hourly wages than Fitness Plus

What could you infer about the variability of these two data sets?

• The boys would be greater than then girls

• They would be about the same

• The girls would be greater than the boys

• There is no comparison

What is the difference between the percent of time Doug spends playing sports and the percent of time Fred spends playing sports?

• 14%

• 10%

• 4%

• 1%

Which bar graph displays the same information as the table provided?

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A representative sample of 80 customers in a clothing store was surveyed about how they paid for their purchases. The table shows the responses. Based on the results, which of the following are valid inferences. Select two answer choices.

• Tomorrow, 8 out of the first 80 customers will for sure pay with a gift card.

• In a group of 40 customers, it is expected that about 10 will pay with cash.

• About 30% of all the store's customers will pay with a credit card.

• A sample of 100 customers would provide less reliable data.

The table shows the finish times of 30 runners in the 100-meter dash. Which inference is true?

• The runners ran faster this year, on average, as compared to last year.

• Most runners ran faster last year, on average, as compared to this year.

• Every runner ran faster this year as compared to last year.

The table shows the finish times of 30 runners in the 100-meter dash. Which inference is true?

• The runners ran faster this year, on average, as compared to last year.

• Most runners ran faster last year, on average, as compared to this year.

• Every runner ran faster this year as compared to last year.

A representative sample of 80 customers in a clothing store was surveyed about how they paid for their purchases. The table shows the responses. Based on the results, which of the following are valid inferences. Select all that apply.

• Tomorrow, 8 out of the first 80 customers will for sure pay with a gift card.

• In a group of 40 customers, it is expected that about 10 will pay with cash.

• About 0.3, or 30%, of all the store's customers will pay with a credit card.

• A sample of 100 customers would provide less reliable data.

The manager of a music store surveyed a random sample of customer who shop in the store about their favorite type of music. The table shows the number of customers who selected each type of music. Based on the information in the table, which inference about the favorite type of music of all the customers who shop in the music store appears to be valid?

• They are certain to select rock or pop music.

• They are less likely to select country or rap music than rock music.

• They are more likely to select country music than jazz, classical, or rap music.

• They are certain to select any type of music other than jazz music.

The manager of a music store surveyed a random sample of customer who shop in the store about their favorite type of music. The table shows the number of customers who selected each type of music. Based on the information in the table, which inference about the favorite type of music of all the customers who shop in the music store appears to be valid?

• They are certain to select rock or pop music.

• They are less likely to select country or rap music than rock music.

• They are more likely to select country music than jazz, classical, or rap music.

• They are certain to select any type of music other than jazz music.