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 17 Page 478

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

Example Frequency Table:

Time (in seconds) Tally Frequency
6 - 10 |||| 5
11 - 15 |||| 4
16 - 20 |||| | 6
21 - 25 |||| 5
Example 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 identifying the maximum and minimum values from the given data set. Then we can define the intervals for each line of our table. ccccccc 15 & 25 & 11 & 8 & 10 & 21 & 18 23 & 19 & 9 & 14 & 16 & 24 & 18 10 & 16 & 24 & 18 & 9 & 14

The minimum value is 8 and the maximum value is 25. In this case, intervals of 5 seem reasonable. Let's list the intervals in the first column of our frequency table.

Time (in seconds) Tally Frequency
6 - 10
11 - 15
16 - 20
21 - 25

Now we should count the number of values in each interval. ccccccc 15 & 25 & 11 & 8 & 10 & 21 & 18 23 & 19 & 9 & 14 & 16 & 24 & 18 10 & 16 & 24 & 18 & 9 & 14 Looking at the data, we can see that there is 5 values in the first interval, 4 values in the second interval, 6 values in the third interval, and 5 values in the fourth interval. Using this information we can complete our table.

Time (in seconds) Tally Frequency
6 - 10 |||| 5
11 - 15 |||| 4
16 - 20 |||| | 6
21 - 25 |||| 5

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!