Stats Project Survey

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Statistics Project: Survey

PS3

Jasmine Tan, Natalie Tan, Zara Adryana, Lee Eunice

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PART A: DISCRETE OR CONTINUOUS DATA

How Long Does It Take For You To Get To College?

Raw data (minutes)

15, 2, 10, 20, 5, 15, 7, 8, 30, 30, 13, 60, 45, 50, 9, 2,

5, 20, 10, 18, 40, 120, 100, 11, 20, 25, 21, 70, 5, 1

Stem and leaf diagram

Stem Leaf

0 1 2 2 5 5 5 7 8 9

1 0 0 1 3 5 5 8

2 0 0 0 1 5

3 0 04 0 5

5 0

6 0

7 0

8

9

10 0

11

12 0

Key: 1|2 means 12 minutes

Median = (15+18)/2 = 16.5 minutes

First quartile = (7+8)/2 = 7.5 minutes

Third quartile = (30+30)/2 = 30 minutes

Box and whisker diagram

The distribution is positively skewed.

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Frequency distribution table

Time take to get to college, t

(minutes)

Frequency

0 < t 10 11

10 < t 20 8

20 < t 30 4

30 < t 40 1

40 < t 50 2

50 < t 60 1

60 < t 70 1

70 < t 80 0

80 < t 90 0

90 < t 100 1

10 < t 110 0

110 < t 120 1

Disadvantages of frequency distribution table include:

Cannot find the skewness of the distribution The original data is lost

Mean =()()()()()()()()()

= 24.3 minutes

Hence, the mean is more than the median. Median is more suitable to represent

the average of the distribution. This is because there is an outlier in the data.

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Histogram

Modal class = 0 - 10

If the result of your survey is to be used to generalise the conclusion to a

population of one million people, what can be done to improve the

accuracy of the result?

If a population of one million people have to be represented, a variety of modes

of transports need to be taken into account. Hence, we can ensure that the

sample of people who take the survey include many modes of transport like

bicycle, car, bus, train and taxi.

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PART B: ORDINAL DATA

QUESTIONNAIRE

How much do you like college?

1. Whats your course?

CAL

SAM

IB

2. How do you feel before coming to college?

a) Excited and happy.

b) Neutral.

c) Lazy and demotivated.

3. How do you like your teachers?

a) I love them.

b) They're good. But, I don't like them.

c) I don't like them.

4. How do you like the ambience?

a) Comfortable and convenient.

b) It works. But, it could be better.

c) I dont like it.

5. How do you like the facilities?

a) It enhances my college experience.

b) Moderate.

c) I encounter a lot of complications with it.

6. How do you feel about your course?

a) I'm enjoying it.

b) Struggling a little.

c) Regret.

7. Could your college experience improve?

a) No.

b) Maybe.

c) Yes.

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Conclusion

Most students of TCSH enjoy college. 16 students really like college. 13 students

moderately like college. Only 1 student dislikes college. A suitable measure of

central tendency will be median. This is because there is an outlier (one student

who dislikes college). Hence, the median is:

th data. Hence, the average student really likes college life in TCSH.

Two possible sources of uncertainty or error in our study is the lack of

representation of IB students in the sample. Also, some of the students might not

be telling the full truth while answering the survey. To avoid the errors, we

should have asked more IB students. Also, there should be more options to each

question on the survey.