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Question
a high school gym class was jumping rope. they wanted to know how many jumps each student could make before they missed. the results are listed below.
2 5 6 7 9 11 12 14 14
15 17 19 21 22 23 24 27 32
35 39 39 44 47 53 59 61 82
85 88 90 93 96 101 103 114 125
what is the best frequency table for these data?
a:
| jump rope results |
| number of jumps | tally | frequency | ||||||||
| 0 - 19 | 12 | |||||||||
| 20 - 39 | 8 | |||||||||
| 40 - 59 | 4 | |||||||||
| 60 - 79 | 3 | |||||||||
| 80 - 99 | 5 | |||||||||
| 100+ | 4 |
b:
| jump rope results |
| number of jumps | tally | frequency | ||||||||
| 0 - 19 | 13 | |||||||||
| 20 - 39 | 9 | |||||||||
| 40 - 59 | 2 | |||||||||
| 60 - 79 | 3 | |||||||||
| 80 - 99 | 6 | |||||||||
| 100+ | 4 |
Step1: Count data in intervals
Count the number of data - points falling into each interval for each option.
For the interval 0 - 19:
- Manually count the numbers from the data set (2, 5, 6, 7, 9, 11, 12, 14, 14, 15, 17, 19) which are 12.
For the interval 20 - 39:
- Count numbers like 21, 22, 23, 24, 27, 32, 35, 39, 39 which are 9.
For the interval 40 - 59:
- Count 44, 47, 53 which are 3.
For the interval 60 - 79:
- Count 60, 61 which are 2.
For the interval 80 - 99:
- Count 82, 85, 88, 90, 93, 96 which are 6.
For the interval 100+:
- Count 101, 103, 114, 125 which are 4.
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The frequency table with the following frequencies for the intervals 0 - 19: 12, 20 - 39: 9, 40 - 59: 3, 60 - 79: 2, 80 - 99: 6, 100+: 4 is the correct one. Without seeing all the options clearly (as option d is cut - off), but based on the correct frequencies calculated above, the table with these frequencies is the best one. If we assume option a has these correct frequencies, then the answer is A. Option A's table.