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Data Analytics for Business (1005) Homework 1 Part B

Due time, 23:55PM, Monday, March 16.

Note: SPSS is encouraged to answer the questions below. Please double check your answers if you finish the homework with other software.

1. Fifty randomly selected adults who follow professional sports were asked to name their favorite professional sports league. The results are as follows where MLB = Major League Baseball, MLS = Major League Soccer, NBA= National Basketball Association, NFL = National Football League, and NHL = National Hockey League.

Figure 1: Data: ProfSports

(a) Use software to find the frequency distribution and percent frequency dis tribution for these data.
(b) Use software to construct a frequency bar chart for these data.
(c) Use software to construct a pie chart for these data.
(d) Which professional sports league is most popular with these 50 adults? Which is least popular?

2. Sixty randomly selected shoppers have rated a new bottle design for a popular soft drink. The data are given below.

34 33 33 29 26 33 28 25 32 33
32 25 27 33 22 27 32 33 32 29
24 30 20 34 31 32 30 35 33 31
32 28 30 31 31 33 29 27 34 31
31 28 33 31 32 28 26 29 32 34
32 30 34 32 30 30 32 31 29 33
(a) Please answer these questions below by hand.
i. Find the number of classes that should be used to construct a frequency distribution and histogram for the bottle design ratings.
ii. If we round up to the nearest whole rating point, what is the class length? Why?
iii. Define the nonoverlapping classes for a frequency distribution, tally the number of ratings in each class and develop a frequency distribution.
iv. Draw the frequency histogram for the ratings data, and describe the distribution shape.
(b) Use a software to draw a frequency histogram for the bottle design ratings.Data Analytics for Business (1005) 3
3. The following data consist of sales figures (in millions of dollars) for a group of 20 firms. Construct a stem-and-leaf display for these data. Use a leaf unit equal to 100.
6835 3517 1973 1449 2820 2384 5358 1376 1233 1725
3291 6047 2707 7903 3291 4616 2675 1541 3707 4189