Complete the frequency table for the following set of data. You may optionally click a number to shade it out. Complete the frequency table for the following set of data: You may optionally click a number to shade it out: 34, 0, 38, 12, 8, 26, 8, 11, 35, 32, 18, &, 17, 38, 31, 35, 35, 19, 4, 10 #Click the tally box to count up The minus counts down: Interval Tally Frequency 0 _ 9 10 19 20 29 30 39 40 49 50 59′
The Correct Answer and Explanation is:
Based on the provided data set — 34, 0, 38, 12, 8, 26, 8, 11, 35, 32, 18, 8, 17, 38, 31, 35, 35, 19, 4, 10 — here is the completed frequency table:
| Interval | Tally | Frequency | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0 to 9 | 5 | |||||||||
| 10 to 19 | 6 | |||||||||
| 20 to 29 | 1 | |||||||||
| 30 to 39 | 8 | |||||||||
| 40 to 49 | 0 | |||||||||
| 50 to 59 | 0 |
Explanation:
To complete the table, we must classify each value into its correct interval based on its magnitude. Intervals are defined in inclusive-lower and exclusive-upper format, meaning, for instance, the interval 0 to 9 includes all numbers starting at 0 up through 9.
Start by counting how many numbers fall into each range:
- 0 to 9: Contains 0, 8, 8, 8, 4 → total of 5 values.
- 10 to 19: Includes 12, 11, 18, 17, 19, 10 → 6 values.
- 20 to 29: Only 26 fits this category → 1 value.
- 30 to 39: Contains 34, 38, 35, 32, 38, 31, 35, 35 → 8 values.
- 40 to 49 and 50 to 59: No values match either of these intervals → frequencies of 0.
Using tallies helps visually confirm counts. Every group of five is denoted as four vertical bars crossed by a fifth diagonal, then new bars are added for additional counts.
This frequency table allows quick interpretation of how values are distributed across categories. In this case, the highest frequency occurs in the 30 to 39 range, suggesting data clustering in that interval. There is also a moderate number of observations between 10 and 19 and in the lower single digits, while midrange and upper values are nearly absent. This kind of breakdown is particularly useful for summarizing larger datasets, spotting trends, and preparing for more advanced statistical calculations.
