Problem # 1

In a sample of 33 days last year, the maximum temperature in Burnaby was grouped into the following distribution:

a)Complete the Frequency Distribution and the Less-Than Cumulative Frequency Distribution in table below.(4 marks)

Max temperaturein degrees Celcius

Frequency

Relative Frequency (fraction & decimal)

Less Than Cumulative Frequency (fraction & decimal)

10 up to 16

7

16 up to 22

9

22 up to 28

7

28 up to 34

5

34 up to 40

3

40 up to 46

2

Totals

a)Draw a Frequency Histogram to present the data. Label the axes and give your graph a title. (2 marks)

b)Draw a "Less Than Cumulative Frequency" polygon (2 marks)

c)What is the level of measurement for this data? (1 mark)

d)Calculate the mean of this data using the grouped data mean formula. Use the table below to help organize your work. (2 marks)

Max temperaturein degrees Celcius

Frequency

Midpoint

Freq x Midpoint (fM)

Freq x Midpoint²

10 up to 16

7

16 up to 22

9

22 up to 28

7

28 up to 34

5

34 up to 40

3

40 up to 46

2

Totals

e)Calculate the median of the grouped data in the table above. (2 mark)

f)Calculate the variance. (3 marks) Show your calculations in the table.

g)Calculate the standard deviation. (1mark)