2.
In a study of reaction times, 25 participants completed a test where their reaction times (in milliseconds) were recorded. The results are shown in the stem-and-leaf diagram below:
\(20 \mid 3579\)
\(21 \mid 02568\)
\(22 \mid 134579\)
\(23 \mid 0258\)
\(24 \mid 1467\)
\(25 \mid 25\)
Key: 21 | 0 represents a reaction time of 210 milliseconds
- State the median reaction time.
- Calculate the interquartile range of these reaction times.
- Find the mean and standard deviation of these reaction times.
- State one advantage of using a stem-and-leaf diagram to display this data rather than a frequency table.
- One participant completed the test again and recorded a reaction time of 195 milliseconds. Add this result to the stem-and-leaf diagram and state the effect this would have on:
i) the median
ii) the mean
ii) the standard deviation
[0pt]
[4] - Explain why the interquartile range might be preferred to the standard deviation as a measure of spread in this context
[0pt]
[2]