Question

writing about histograms
the scores for today’s math quiz are 75, 95, 60, 75, 95, and 80. explain the steps needed to create a histogram for the data.

Explanation:

Step1: Determine the range of data

Find the minimum ($60$) and maximum ($95$) values. The range is $95 - 60=35$.

Step2: Decide on class intervals

Choose an appropriate class width. For example, a class width of $10$. The classes would be $60 - 69$, $70 - 79$, $80 - 89$, $90 - 99$.

Step3: Tally the data

Count how many data points fall into each class.

• For $60 - 69$: $1$ (score of $60$)
• For $70 - 79$: $2$ (scores of $75,75$)
• For $80 - 89$: $1$ (score of $80$)
• For $90 - 99$: $2$ (scores of $95,95$)

Step4: Draw the histogram

On the x - axis, label the class intervals. On the y - axis, label the frequency (number of data points). Draw bars for each class with height equal to the frequency of that class.

Answer:

First, find the range of the data. Then decide on class intervals. Next, tally the data into the classes. Finally, draw the histogram with class intervals on the x - axis and frequencies on the y - axis.