Analyzing Box Plots

Front

What is the IQR?

Back

The Interquartile Range (IQR) is the difference between the first quartile (Q1) and the third quartile (Q3) in a data set. It measures the spread of the middle 50% of the data.

Front

What is the high score on the test?

Back

The high score on the test is the maximum value in the data set, which represents the highest achievement among the scores.

Front

What percent of the class scored above a certain score?

Back

To find the percentage of students scoring above a certain score, count the number of students above that score and divide by the total number of students, then multiply by 100.

Front

What is the median score on the test?

Back

The median is the middle value of a data set when it is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.

Front

What is the range of scores?

Back

The range is the difference between the highest and lowest scores in a data set. It shows the spread of the entire data set.

Front

What does a box plot represent?

Back

A box plot visually represents the distribution of a data set, showing the median, quartiles, and potential outliers.

Front

What are quartiles?

Back

Quartiles are values that divide a data set into four equal parts. Q1 is the first quartile, Q2 is the median, and Q3 is the third quartile.

Front

How do you find Q1 and Q3?

Back

To find Q1, locate the median of the lower half of the data set. To find Q3, locate the median of the upper half of the data set.

Front

What is an outlier?

Back

An outlier is a data point that is significantly different from the other observations in a data set, often lying outside 1.5 times the IQR from the quartiles.

Front

How do you interpret a box plot?

Back

In a box plot, the box represents the interquartile range, the line inside the box shows the median, and the 'whiskers' extend to the smallest and largest values within 1.5 times the IQR.