Question

here is a histogram showing the times taken to complete the task. Estimate the percentage of people who took less than 40 seconds to complete the task. Give your answer to 1 decimal place

Answer 1

Approximately 86.4% of people took less than 40 seconds to complete the task, estimated from the histogram by summing frequencies for the relevant time intervals.

To estimate the percentage of people who took less than 40 seconds to complete the task, you must consider the histogram bars up to the 40-second mark. In this case, you need to sum the frequencies for the time intervals 5-15, 15-25, and 25-45.

Total frequency = 40 + 30 + 25 + 15 = 110

Total frequency up to 40 seconds = 40 + 30 + 25 = 95

`\[ \text{Percentage} = \left( \frac{\text{Total frequency up to 40 seconds}}{\text{Total frequency}} \right) * 100 \]`

`\[ \text{Percentage} = \left( (40 + 30 + 25)/(110) \right) * 100 \]`

`\[ \text{Percentage} \approx 86.4\% \]`

Therefore, the estimated percentage of people who took less than 40 seconds to complete the task is approximately 86.4%, rounded to one decimal place.