In: Statistics and Probability
Work on excel
Design.xlsx.
(a) Contruct a Frequency Histogram with a revised Bin size. (Bin width =3 ). Hint: Use Data Analysis from Data menu, Histogram to create a Bin size of the desired bin width(=3). (b) Construct A Cumulative Percentage Histogram. (c) Contruct A Frequency Polygon. [ Hint: Use Line Graph]
Rating |
34 |
32 |
24 |
32 |
31 |
32 |
33 |
25 |
30 |
28 |
28 |
30 |
33 |
27 |
20 |
30 |
33 |
34 |
29 |
33 |
34 |
31 |
31 |
32 |
26 |
22 |
31 |
31 |
32 |
30 |
33 |
27 |
32 |
33 |
28 |
30 |
28 |
32 |
30 |
29 |
26 |
32 |
25 |
33 |
35 |
27 |
29 |
31 |
32 |
32 |
33 |
34 |
32 |
29 |
33 |
29 |
31 |
31 |
34 |
33 |
(a) and (b) Enter the values in excel
Rating in C2 to C61 And Bins in E2 to E4 ( as we need bins width =3 , thus bin ranges are 20-23,23-26,26-29,29-32,32-35 we write only 23,26,29 etc)
Ratings | Bins | ||||
20 | 23 | ||||
22 | 26 | ||||
24 | 29 | ||||
25 | 31 | ||||
25 | 35 | ||||
26 | |||||
26 | |||||
27 | |||||
27 | |||||
27 | |||||
28 | |||||
28 | |||||
28 | |||||
28 | |||||
29 | |||||
29 | |||||
29 | |||||
29 | |||||
29 | |||||
30 | |||||
30 | |||||
30 |
From Data tab select Data Analysis , a drop down menu will appear , select histogram , then input range $C$2 -$C$61 and bin range $E$2 -$E$6
select cumulative percentage and chart output
The output is shown below
Bin | Frequency | Cumulative % |
23 | 2 | 3.33% |
26 | 5 | 11.67% |
29 | 12 | 31.67% |
31 | 14 | 55.00% |
35 | 27 | 100.00% |
More | 0 | 100.00% |
(c) Now to draw frequency polygon
Select the frequency table from the output
Bin | Frequency |
23 | 2 |
26 | 5 |
29 | 12 |
31 | 14 |
35 | 27 |
Go to charts under insert tab , select line graph