4. Display Data in Frequency Tables and Histograms
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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:
We want to complete the frequency table and histogram. Let's do these one at a time!
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
| 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 |
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!
