# Statistics Case study

MATH-200 DESCRIPTIVE STATISTICS CASE STUDY

NAMES _____________________________________________________________

Use the textbook and the class notes to help understand the output contained herein and to understand and answer the questions at the end of this case study . This Lab is due next class

The four variables shown in the data set below are set up to represent a fictitious study of gender , weight and fitness score . The variables include gender , ranking , weight and score . In this example , gender is coded as M or F (recoded as 1 or 2 for computations , weight is the

br participant 's weight , score is a value that the participant scored in a fitness test and rank is their ranking based on that score

Gender Ranking Weight Score

M 1 200 95

M 2 110 92

F 3 103 91

F 4 145 90

F 5 130 88

M 6 180 82

M 7 170 80

F 8 90 75

F 9 102 70

M 10 225 60

M 11 225 59

M 12 108 55

F 13 108 55

M 14 108 55

M 15 167 50 Each of the variables is examined in the chart below

Statistics

GENDER RANKING SCORE WEIGHT

N 15 15 15 15

MEAN 1 .40 8 .0000 73 .13333 144 .73333

MEDIAN 1 .00 8 .0000 75 .0000 130 .0000

MODE 1 1 .00 55 .00 108 .00

ST . DEVIATION .51 4 .4721 16 .2387 46 .5625

VARIANCE .26 20 .0000 263 .6952 2168 .0667

SKEWNESS .455 .000 - .065 .625

RANGE 1 14 45 135

MINIMUM 1 1 .00 50 .00 90 .00

MAXIMUM 2 15 .00 95 .00 225 .00 Multiple modes exist . Smallest value is shown

YOUR TURN : Using the values from the GENDER variable in table above answer the following questions

1 . What type of data does gender represent (Quantitative or Qualitative

Answer : Qualitative

2 . What does the mean gender of 1 .40 tell us

Answer : This tells us that there are more males (recorded as 1 ) than females (recorded as 2 ) in the sample . The mean shifts towards the values of variable with higher frequency . Had the number of males and females been equal in the sample the value of mean would have been 1 .5 and for more females the value would have been more than 1 .5

3 . What would be the appropriate measure of center (mean , median , and mode ) for GENDER

Answer : The most appropriate measure of centre will be mean

4 . What is the value for measure of center

Answer : The value for measure of center is 1 .4

YOUR TURN Using the values from the RANKING variable in table above answer the following questions

5 . What type of data does RANKING represent (Quantitative or Qualitative

Answer : Quantitative

6 . What is the appropriate measure of center

Answer : Either of mean or median will serve as appropriate measure of center

7 . What is the value for measure of center

Answer : The value for measure of center is 8

8 . Would it be appropriate to...