Interpreting Data from Graphs

Front

What is a box plot?

Back

A box plot is a graphical representation of data that shows the distribution through five summary statistics: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

Front

What does the median represent in a data set?

Back

The median is the middle value of a data set when it is ordered from least to greatest. It divides the data into two equal halves.

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) in a data set, representing the range of the middle 50% of the data.

Front

How do you determine the range of a data set?

Back

The range is determined by subtracting the smallest value in the data set from the largest value.

Front

What does a histogram represent?

Back

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges (bins).

Front

What does it mean if a histogram is skewed right?

Back

If a histogram is skewed right, it means that the tail on the right side of the distribution is longer or fatter than the left side, indicating that there are a few high values.

Front

What does it mean if a histogram is symmetrical?

Back

A symmetrical histogram has a balanced shape, where the left and right sides are mirror images of each other, indicating that the data is evenly distributed around the mean.

Front

What is the significance of the quartiles in a box plot?

Back

Quartiles divide the data into four equal parts. Q1 is the median of the lower half, Q2 is the median, and Q3 is the median of the upper half.

Front

What does it mean if half of the students scored between two values in a box plot?

Back

It means that the median divides the data such that 50% of the students scored below the higher value and 50% scored above the lower value.

Front

How can you interpret gaps in a histogram?

Back

Gaps in a histogram indicate ranges of values where no data points exist, suggesting that certain values are missing or not represented in the data set.