Data and Statistics Quick Check

Below is data collected from a random sample of 80 students regarding their fitness habits. If the entire school has 600 students, then what is a reasonable estimate for the number of students who consider themselves to have an average fitness habit?

• A. 175

• B. 120

• C. 280

• D. 330

The hobbies of the teachers in two different schools are shown below. Based on the information, which of the following statements is true?

• Half of the teachers at West MS enjoy cooking and music, while only 30% of the teachers at North MS enjoy cooking and music.

• More than a quarter of the teachers at North MS enjoy reading, while less than a quarter enjoy outdoor recreation.

• A majority of the teachers at North MS enjoy outdoor recreation and cooking.

• Less than half of the teachers at West MS enjoy outdoor recreation and music.

The number of patients at a doctor's office is tracked over a period of 10 days. Which statement best supports the data?

• A. The data for Dr. Amine’s office is more symmetrical than the data for Dr. Harris’s office.

• B. The interquartile range of the two offices is the same.

• C. The median number of patients at Dr. Harris’s office is less than the median number of patients at Dr. Amine’s office.

• D. The range of the data for Dr. Harris’s office is less than the range of the data for Dr. Amine’s office.

Sixty students in the freshman class completed a survey about their favorite pet. The results are shown in the bar graph below. Based on the data, which of the following statements is not true?

• Dogs were the most preferred pet.

• The number of freshmen who prefer cats, hamsters, and fish is more than those who prefer dogs.

• One-fourth of the freshmen surveyed prefer hamsters.

• The number of freshmen who prefer fish and hamsters is the same as those who prefer dogs.

Twenty students in Mr. Martin’s class each took a survey about the number of minutes they played outside. The box plots represent the amount of time the students spent outside playing in the summer and in the winter. Which statement is best supported by the data?

• A. The range of number of minutes outside is the same in the summer and in the winter.

• B. The median number of minutes outside in the summer is equal to the maximum number of minutes outside in the winter.

• C. The interquartile range for the number of minutes outside is the same in the summer and in the winter.

• D. The minimum number of minutes outside in the summer is the same as the first quartile in the winter.

The average number of hours of sleep of Ms. Gambino’s and Mr. Joe’s classes is shown below. Which of the following statements is best supported by the data?

• The median number of hours slept in Ms. Gambino’s class is less than the median number of hours in Mr. Joe’s class.

• The data for Ms. Gambino’s class is symmetrical, while the data for Mr. Joe’s class is skewed right.

• The range of data in Mr. Joe’s class is less than the range of data is Ms. Gambino’s class.

• The mode of the data in Ms. Gambino’s class was equal to the mode of the data in Mr. Joe’s class.

If she will be eating 1,800 calories, then how many calories should be from proteins?

• 450 calories

• 350 calories

• 630 calories

• 270 calories

The student council is planning for the prom. They have broken down their expenses in the graph below. If they decide they will spend $1,200 on refreshments, then what is their total budget?

• $3,600

• $6,000

• $7,200

• $4,000