n a recent survey, 150 third-level students in Cork were asked to state how many hours they spent onthe internet in the first week of May. Results were as follows:Time spent on internet (hours) Number of students≥ 0 𝑎𝑛𝑑 < 5 30≥ 5 𝑎𝑛𝑑 < 10 55≥ 10 𝑎𝑛𝑑 < 15 31≥ 15 𝑎𝑛𝑑 < 20 29≥ 20 𝑎𝑛𝑑 < 25 5(a) Draw a histogram for this distribution.[6 marks](b) Calculate, correct to one decimal place, the mean time spent on the internet

(a) To draw a histogram for this distribution, you would need to create a bar chart with the time spent on the internet on the x-axis and the number of students on the y-axis. The bars would represent the following ranges: 0-5, 5-10, 10-15, 15-20, and 20-25 hours. The height of each bar would correspond to the number of students in each range: 30, 55, 31, 29, and 5 respectively.

(b) To calculate the mean time spent on the internet, you would need to multiply the midpoint of each range by the number of students in that range, sum these products, and then divide by the total number of students.

Here's how you do it:

For the range 0-5 hours, the midpoint is 2.5 hours. Multiply this by the number of students (30) to get 75. For the range 5-10 hours, the midpoint is 7.5 hours. Multiply this by the number of students (55) to get 412.5. For the range 10-15 hours, the midpoint is 12.5 hours. Multiply this by the number of students (31) to get 387.5. For the range 15-20 hours, the midpoint is 17.5 hours. Multiply this by the number of students (29) to get 507.5. For the range 20-25 hours, the midpoint is 22.5 hours. Multiply this by the number of students (5) to get 112.5.

Add these products together to get a total of 1495.

Finally, divide this total by the total number of students (150) to get the mean time spent on the internet.

1495 ÷ 150 = 9.97 hours, which is approximately 10.0 hours when rounded to one decimal place.