Elementary Statistics / Mathematics
Elementary Statistics / Mathematics
Suppose you are working for a company in the music business. They make stereos, musical instruments and produce CD’s. They decide to do a survey on dance preferences by college students. Basically, they wanted to know about college students’ interests and practices on dance music. A survey was administered to a random sample of 37 students and recorded in Table 1:
| A – Ironic dance B – Pro dance C – Sway dance
D – Dad-dance E – Twerk dance
Table 1
| Male |
Female |
Male |
Female |
Male |
| A |
A |
A |
A |
E |
| C |
E |
C |
C |
A |
| A |
A |
C |
B |
E |
| A |
C |
A |
D |
D |
| A |
A |
B |
A |
A |
| C |
D |
E |
B |
B |
| D |
A |
D |
D |
A |
| D |
A |
|
|
|
|
|
| a) |
Prepare a summary table for dance preferences. Calculate percentage and sectarian angle of each type of dance preferred. |
(4) |
| b) |
Represent these figures on a pie chart. |
(3) |
| c) |
Draw a bar chart to represent the dance preferences. |
(3) |
| [Total: 10 marks]
QUESTION 2
| Based on Table 1 in Question 1: |
|
| a) |
Prepare a multiple frequency table for dance preferences of both genders. |
(2) |
| b) |
Using your frequency table, draw a multiple bar chart to represent the information. |
(4) |
| c) |
Briefly discuss and compare the percentage of favorite and least favorite dance preferences of both genders. |
(4) |
| [Total: 10 marks] |
|
QUESTION 3
Table 2: Mathematics Score
| 27 |
37 |
30 |
28 |
39 |
25 |
45 |
28 |
| 32 |
28 |
26 |
38 |
31 |
30 |
47 |
41 |
|
|
| a) |
Based on Table 2, organize the data into a frequency distribution by taking 25 as the lower limit of the first class and 5 as the class width. |
(4) |
| b) |
Construct a “less than or equal” ogive for the frequency distribution established in (a) and then approximate the number of candidates who scores below 35. |
(6) |
|
[Total: 10 marks] |
|
QUESTION 4
| A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag. |
|
| a) |
Construct a probability tree of the problem. |
(5) |
| b) |
Calculate the probability that Paul picks:. |
|
| |
i) two black balls |
(2) |
| |
ii) a black ball in his second draw |
|
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