Data and Statistics Quick Check

20 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 winter. Which statement is best supported by the data?

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

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

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

• 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.

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?

• 175

• 120

• 280

• 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 West 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.

• 15, 75, 85, 95, 105, 115

• Skewed Right

• 15, 25, 35, 45, 55, 115

• Symmetrical

• 15, 25, 35, 45, 55, 65

• Skewed Left

The distribution of this data set can best be described as...

• Right-skewed

• Left-skewed

• Symmetrical

• Purple

Answer explanation

The tail is on the right, so it is right-skewed.

When MOST of the data is clustered near the LESSER values, the data is considered to be

• Skewed Right

• Skewed Left

• Skewed High

• Skewed Low

What percent of students have a height between 58 inches and 60 inches?

• 25%

• 50%

• 75%

• 100%

What is the distribution of the data?

• skewed right

• skewed left

• symmetric

• stairsteps

What is the shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve