Question 1:Consider the following data on the number of words in their final 2000-word report for BUMAN201A students from 2020-2021.

Words in final report	Class Mid-Point	Frequency
1200 -		2
1400 -		7
1600 -		11
1800 -		12
2000 -		9
2200 -		5
2400 -		2
Total		48

Task:Your task is to answer the following question in two ways. What is the probability that a randomly selected student from this group will write between 1900-2200 words. You can assume that this is the population data for 2020-2021.

Method 1: Area of the raw data with trapeziums. (See slides 1-5 from week 8).

1. Create a column graph of the data above. You will need to fill out the table first. In your column graph use the midpoint for the x-axis (why?) and format the graph so the gap between columns is zero (why?). Think about what the y-axis would be.
2. Draw a line graph starting at zero at 1100 to the centre of each column back to zero at 2700 (see slides 1-5 week 8)
3. Find the area and hence probability required by finding the appropriate area under the graph.
4. Note: The area of a trapezium is calculated as,
5. 

A = =(a+b), where h = width, a and b are the lengths of the parallel sides