CSCS Data Analysis & Reporting 3 — Questions and Answers
Question 1: A strength coach collects VO2max data from 30 athletes and finds the distribution is negatively skewed. Which measure of central tendency is most appropriate to report?
- Mean, because it uses all data points
- Median, because it is resistant to skewed distributions (Correct answer)
- Mode, because it represents the most common value
- Range, because it captures distribution spread
Correct answer: Median, because it is resistant to skewed distributions
The median is preferred over the mean when data are skewed because it is not distorted by extreme values on one tail.
Question 2: Which type of graph is most appropriate for displaying the relationship between training volume (sets × reps) and strength gains across 12 weeks?
- Pie chart
- Scatter plot with trend line (Correct answer)
- Stacked bar chart
- Frequency histogram
Correct answer: Scatter plot with trend line
A scatter plot with a trend line best illustrates the continuous relationship between two quantitative variables over time.
Question 3: In athlete monitoring, what does a z-score of +2.5 on a wellness questionnaire indicate?
- The athlete's response is 2.5 standard deviations below the group mean
- The athlete's response is 2.5 standard deviations above their personal mean (Correct answer)
- The athlete is 2.5% above their baseline performance
- The athlete shows a statistically non-significant deviation
Correct answer: The athlete's response is 2.5 standard deviations above their personal mean
In individual athlete monitoring, z-scores are typically calculated relative to each athlete's own historical mean, so +2.5 SD represents an unusually high response.
Question 4: A coach tracks an athlete's countermovement jump (CMJ) force-time curve. Which variable best represents the athlete's ability to develop force rapidly during the initial push-off phase?
- Peak force
- Rate of force development (RFD) at 0-50 ms (Correct answer)
- Flight time
- Eccentric peak velocity
Correct answer: Rate of force development (RFD) at 0-50 ms
RFD in the early time window (0-50 ms) reflects the neuromuscular ability to develop force quickly, which is critical for reactive and explosive sports actions.
Question 5: A strength and conditioning report shows an athlete's power output is at the 85th percentile for their sport and age group. What does this mean?
- The athlete scored 85% on the power test
- The athlete outperformed 85% of the comparison group (Correct answer)
- The athlete needs 15% more power to reach elite status
- The athlete's power is 85 watts above average
Correct answer: The athlete outperformed 85% of the comparison group
The 85th percentile means the athlete's score exceeds 85% of individuals in the reference normative group.
Question 6: When analyzing training load data, the acute:chronic workload ratio (ACWR) is best used to:
- Determine maximum strength gains over a mesocycle
- Assess injury risk by comparing recent to habitual training load (Correct answer)
- Calculate the optimal rest interval between training sessions
- Compare performance between athletes on different programs
Correct answer: Assess injury risk by comparing recent to habitual training load
ACWR compares the acute (recent week) to chronic (rolling 4-week average) workload, with ratios >1.5 associated with elevated injury risk.
Question 7: A CSCS practitioner wants to determine if an athlete's sprint time improvement after training is statistically significant. With n=1 (single case), the most appropriate analytical approach is:
- One-sample t-test against population norms
- Single-subject design comparing pre/post measurements relative to trial-to-trial variability (Correct answer)
- ANOVA across multiple time points
- Chi-square test of observed vs. expected improvement
Correct answer: Single-subject design comparing pre/post measurements relative to trial-to-trial variability
Single-subject analysis evaluates whether the change exceeds within-subject variability (noise), making it appropriate when group comparisons are impossible.
A strength coach collects VO2max data from 30 athletes and finds the distribution is negatively skewed.
Which measure of central tendency is most appropriate to report?