Use CAS to answer the following questions. The body mass index (BMI) is an accepted measure of obesity with a value of 30 or more being the obese category. The BMI results for a group of people are shown in the table.

a. Display the data in two frequency tables and draw the corresponding histograms.

i. In the first frequency table, use intervals commencing at the lowest value and increasing by an amount that is calculated by dividing the difference between the lowest and highest data value by 5.

ii. In the second frequency table, use intervals commencing at the lowest value and increasing by an amount that is calculated by dividing the difference between the lowest and highest data value by 10.

b. Describe the two histograms.

c. Calculate the mean for each frequency table and compare them to the mean of the raw data. Give your answers correct to 2 decimal places.