| Date | November 2021 | Marks available | 1 | Reference code | 21N.1.HL:.tz0.23 |
| Level | Higher Level | Paper | Paper 1 | Time zone | time zone 0 |
| Command term | Question number | 23 | Adapted from | N/A |
Question
A statistical analysis found that the average professional racing cyclist could sustain an average power output of 6.0 watts per kilogram (W kg–1) with a standard deviation of 0.5 W kg–1. What percentage of the total spread of the data will be represented by a range in power from 5.0–7.0 W kg–1?
A. 68 %
B. 90 %
C. 95 %
D. 99 %
Markscheme
C
Examiners report
While many candidates did well with this question a number still struggled. It is a mathematical element which is useful for them to be able to consider as part of their own internal assessment investigation processes.
Syllabus sections
Topic 6: Measurement and evaluation of human performance » 6.1. Statistical analysis » 6.1.3. State that the statistic standard deviation is used to summarize the spread of values around the mean, and that within a normal distribution approximately 68% and 95% of the values fall within plus or minus one or two standard deviations respectively.
