Envision Math 2.0: Grade 6, Volume 2
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Envision Math 2.0: Grade 6, Volume 2 View details
4. Display Data in Frequency Tables and Histograms
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Exercise 5 Page 476

Start by completing the frequency table, then make the histogram.

Frequency Table:

Ages Tally Frequency
6 - 10 || 2
11 - 15 |||| 5
16 - 20 || 2
21 - 25 || 2
26 - 30 | 1
Histogram:
Practice makes perfect

We want to complete the frequency table and histogram. Let's do these one at a time!

Frequency Table

Let's begin by looking at the given data set. cccccc 6 & 11 & 9 & 13 & 18 & 15 21 & 15 & 17 & 24 & 27 & 12

In this case, we are given the intervals from the frequency table.

Ages Tally Frequency
6 - 10
11 - 15
16 - 20
21 - 25
26 - 30

Now we should count the number of values in each interval. cccccc 6 & 11 & 9 & 13 & 18 & 15 21 & 15 & 17 & 24 & 27 & 12 Looking at the data, we can see that there are 2 values in the first interval, 5 values in the second interval, 2 values in the third interval, 2 values in the fourth interval, and 1 value in the fifth interval. Using this information we can complete our table.

Ages Tally Frequency
6 - 10 || 2
11 - 15 |||| 5
16 - 20 || 2
21 - 25 || 2
26 - 30 | 1

Histogram

Finally, let's construct the histogram. We will draw a bar for each interval that we used in the frequency table and make the height of each bar equal to the frequency of the interval. Keep in mind that the bars should touch but not overlap. Do not forget to label the axes!