The following table shows the average distance, to the nearestmile, travelled per week to work by a random sample of 350commuters.
Miles Travelled Frequency Midpoint Class Boundaries
6 - 11 43
12 - 17 32
18 – 23 80
24 - 29 120
30 - 35 75
(a) Complete the table above.
(b) What is the mean distance travelled per week by thesecommuters?
(c) Why is the answer for part (b) an estimate of the meandistance travelled?
(d) State one advantage and one disadvantage of using the meanas a measure of central tendency.
(e)What is the modal length of distance travelled by thecommuters?
(f) Calculate the variance for the distance travelled per weekby the commuters.