Summarize the differences among nominal, ordinal, interval and ratio levels of measurement, with an example of each.

INSTRUCTIONS TO CANDIDATES

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Business Statistics

Required

Answer the questions below and submit to MOODLE by the deadline provided

1. The following shows the temperature (high, low) and weather conditions in a given Sunday for some selected towns in Namibia. For the weather conditions, the following notations are used: =clear; cl= cloudy; sh=showers; pc=partly cloudy.

City	Hi	Lo	Condition
Helao Nafidi	99	77	pc
Ondangwa	92	78	pc
Maltahohe	77	57	sh
Rundu	72	56	pc
Katima Mulilo	77	58	c
Swakopmund	88	68	cl
Gobabis	78	61	c

a. How many elements are in these data set [2]

b. How many variables are in this data set [2]

c. How many observations are in this data set [2]

d. Name the variables and indicate whether they are qualitative or quantitative [3]

e. What measurement scale is used for each variable [1]

Total 10 Marks

2. Summarize the differences among nominal, ordinal, interval and ratio levels of measurement, with an example of each. [15]

3. Make a frequency distribution of the following values : 52;56;57;64;68;70;71;71;73;77;78;79;81;82;82;82;83;85;87;89;93;94;95;97;98, include classes, frequencies , percent frequency and cumulative frequencies [20]

4. Consider the following data : 120; 230;110;115;160;130;150;105;105;360;120;120;140;100;115;

Required: Compute the 90th and 60th percentile and IQR [10]

5. A bowler’s scores for six games were 182; 168;184;190;170;174, using these data as a sample, compute the following descriptive statistics (a) range (b) variance (c) standard deviation (d) coefficient of variation [15] 

6. The following frequency distribution (assume the data represent a sample)

Class frequency

70 - 79 5

80 – 89 9

90 – 99 11

100 -109 9

110- 119 6

Required:

Compute the mean and standard deviation [15]

7. Use the following data to make several of these types of graphs: Height measurements for a group of people were taken. The results, in inches, are recorded below 66,68,63,71,68,69,65,70,73,67,62,59,63,68,71,63,63,60,64,66,58

i) Construct a DOT PLOT

ii) Make a STEM AND LEAF PLOT

iii) Make a SPLIT STEM AND LEAF PLOT

iv) Create a HISTOGRAM

8. Create a bar graph and pie chart for the following categorical data

EDUCATIONAL LEVEL	NUMBER OF STUDENTS
High School diploma	2
Some college credit, no degree	6
Bachelor’s degree	12
Honour’s degree	15
Master’s degree	8
Doctorate degree	2
TOTAL	45

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