APFIVE Rounding Error In Relative Frequencies
The table shows frequency data from a survey. The relative frequency for each category was calculated and then rounded to obtain the percentage shown.
| School Length (days) | Frequency | Rounded Percent |
|---|---|---|
| 180 | 1100 | 56% |
| 160 | 300 | 16% |
| 200 | 500 | 26% |
| No opinion | 100 | 7% |
The sum of the percentages is 105%. Which statement best explains why the sum is not 100%?
A
He mistakenly replaced the ratios with their reciprocals during the rounding process.
B
He converted decimals to percentages by multiplying by 100 twice, resulting in inflated values.
C
He rounded each category’s percentage independently, leading to cumulative rounding errors that caused the total to exceed 100%.
D
He divided each frequency by an incorrect total number of respondents before rounding.
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | nijat.abbasli89 | 1 | 1 | 0m 00s | 100 |
| #2 | adedokuntaiye006 | 1 | 1 | 0m 08s | 92 |
| #3 | kimilyasmrtorsha | 2 | 2 | 1m 53s | 87 |
| #4 | abygail.gonzalez69 | 1 | 1 | 0m 17s | 83 |
| #5 | akshayapinnapureddy | 1 | 1 | 0m 27s | 73 |
| #6 | mijuyoon411 | 1 | 1 | 0m 29s | 71 |
| #7 | greatwill2020 | 1 | 1 | 0m 41s | 59 |
| #8 | jglmoa1014 | 1 | 1 | 1m 01s | 39 |
| #9 | connie122908 | 1 | 1 | 1m 14s | 26 |
| #10 | kaitlin.joe | 1 | 1 | 1m 46s | -6 |
Items per page:
10
1 – 10 of 13