Statistics: Median and Five-Number Summary

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Questions and Answers

Which variable in the following list is not considered quantitative (discrete)?

Number of students enrolled in the class
Final grade for the course (A, B, C, D, or F) (correct)
Score on the final exam (out of 200 points)
Number of classes the student missed

What is the median number of AP® courses taken by Mrs. Cooper's students and is this a statistic or a parameter?

4, parameter
3, statistic (correct)
3.5, statistic
3, parameter

Based on the five-number summary of scores on a statistics exam, how many students likely scored between 35 and 61?

95 (correct)
76
190
250

What type of data is represented by the number of AP® courses taken by students in Mrs. Cooper's survey?

<p>Discrete data (C)</p> Signup and view all the answers

Which of the following statements about the scores on a statistics exam is true?

<p>The highest score is 79. (A)</p> Signup and view all the answers

Flashcards

What is a discrete variable?

A quantitative variable that can only take on specific, isolated values. It is often whole numbers.

What is a statistic?

A numerical summary of a sample. It describes a characteristic of the sample, not the entire population.

What is the median?

The median is the middle value in a sorted dataset. It divides the data into two halves with an equal number of values on each side.

What is the Five-Number Summary?

The five-number summary includes the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. It provides a concise overview of the distribution of data.

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What is the Interquartile Range (IQR)?

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). It measures the spread of the middle 50% of the data.

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Study Notes

Mrs. Cooper's AP® Course Survey

Mrs. Cooper surveyed 26 seniors about the number of AP courses they took.
The median number of AP courses taken is 3.
The median is a statistic.

Statistics Exam Scores

The five-number summary for scores on a statistics exam is 11, 35, 61, 70, 79.
The minimum score is 11 and the maximum score is 79.
The first quartile (Q1) is 35, the median is 61 and the third quartile (Q3) is 70.
There are 380 students who took the exam.
Approximately 95 students had scores between 35 and 61.

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Description

This quiz tests your understanding of statistical concepts such as the median and five-number summary based on survey data and exam scores. You'll analyze the distribution of AP courses among students and performance in a statistics exam. Perfect for AP Statistics students!