## Statistical Investigations Exercise

A survey was carried out, similar to the one described in Topic 50 notes, to investigate the amount of time that a group of students watched TV. 15 students at each form level of a secondary school were asked the question:

"Approximately how many hours of TV, (to nearest half hour) do you watch, on average, each weekday"

The results are given below (hours of TV watched):

 Form 3 2 2.5 3.5 3 2 1.5 0.5 2.5 2.5 5.5 2.5 1.5 1 0.5 4.5 Form 4 2.5 2 4.5 2 4 2.5 1.5 3.5 4 3.5 5 3.5 2.5 2 1.5 Form 5 1 1.5 2.5 1.5 2.5 2.5 1.5 2 4 1.5 3.5 1.5 2.5 0.5 0.5 Form 6 2 1.5 2.5 1 1 1 0.5 2 2.5 2 3.5 1.5 1 1.5 0.5 Form 7 1 1.5 2 1 1 1.5 0.5 1.5 1.5 2.5 2.5 1.5 1 1 0.5

(a) Calculate the average (mean) time spent watching TV by students at each level on weekdays. Show this information on a bar graph.

(b) Arrange each set of data in order and calculate the medians and quartiles. Draw a box and whisker diagram to illustrate these statistics.

(c) Use these graphs and diagrams to make comments on this data.