2 (a) 100 students take part in a reaction test.The table shows the results.Reaction time (seconds) 6 7 8 9 10 11Number of students 3 32 19 29 11 6(i) Write down the mode................................................ s [1](ii) Find the median.

(i) The mode is the value that appears most frequently in a data set. In this case, the mode is the reaction time that the most students had. Looking at the table, the reaction time that had the most students (32 students) was 7 seconds. So, the mode is 7 seconds.

(ii) The median is the middle value in a data set when the values are arranged in ascending order. To find the median, we need to find the middle student. Since there are 100 students, the middle would be between the 50th and 51st student.

Looking at the table, we can see that the cumulative number of students is as follows:

• 6 seconds: 3 students
• 7 seconds: 3 + 32 = 35 students
• 8 seconds: 35 + 19 = 54 students
• 9 seconds: 54 + 29 = 83 students
• 10 seconds: 83 + 11 = 94 students
• 11 seconds: 94 + 6 = 100 students

The 50th and 51st students fall in the 8 seconds category. Therefore, the median is 8 seconds.