Measures of Central Tendency (MOCT) Review

Which statement about statistical questions is true?

• A statistical question can never be answered.

• A statistical question has only one possible answer.

• A statistical question is always a silly question.

• A statistical question has many possible answers.

Select all that would be considered a statistical question if the questions were asked of students and teachers at a middle school.

• How do the teachers and students usually travel from school back to their homes?

• About how many of hours of homework do students usually get during the week?

• How many history teachers work at the school?

• What school do these teachers work at?

• Are there water fountains in the school?

Select all that would be considered a statistical question if the questions were asked of students and teachers at a middle school.

• What is the most popular snack choice? Hint: Being asked about the most popular is similar to finding the mode for snack choices.

• What time does the school day end?

• What is a common age of students? Hint: Think about whether or not there can be me more than one common age of students.

• About how many hours of homework do students have on the weekend?

• How many classrooms are on the first floor?

The dot plot shows how many points certain students scored on a homework assignment. What is the interquartile range (IQR) of the data set shown?

Mrs. Markowski kept track of how her students performed on a recent homework assignment and recorded their points on a dot plot. How many students are in Mrs. Markowski's class?

The data displayed represents the distribution of student absences for the school year. Which statement best describes the distribution of the data?

• The distribution of the data is clustered between 10 and 15.

• The distribution of the data is skewed right.

• The distribution of the data is skewed left.

• The distribution of the data has a gap between 1 and 3.

Which quantitative measures describe how data is summarized?

• interquartile range

• mode

• mean absolute deviation

• median

• mean

Which quantitative measures describe the variation in a set of data?

• interquartile range

• mode

• mean absolute deviation

• range

• average

Stephanie is a college scout for the women's basketball team. She compiles data on the points scored by certain players and gives a report to the coaches on the mode, mean, and range. Which statement best describes the data values that are given to the coaches?

• The mode, mean, and range describe how the data varies.

• The mean and mode describe how the data varies while the range summarizes the data.

• The mode and range describe how the data varies and the mean summarizes the data.

• The mean and mode summarize the data while the range describes how the data varies.

The following sets of data show the number of butterflies that emerged from the pupa stage for a variety of species of butterfly. Which set of data has the greatest spread?

• {16, 17, 18, 23, 42}

• {5, 11, 18, 22, 38}

• {7, 12, 12, 20, 23}

• {15, 18, 20, 23, 30}