Week 12 Content Check – Quantitative Analysis
Preparation of the Data - Coding
For the following questionnaire question, how might you code the responses so that you can perform
quantitative analysis?
1) How strongly do you agree with statement: Studying hard produces good grades
Strongly Disagree
Disagree
Neither
Agree
Strongly Agree
The question above was asked of 15 students. Below is the number of responses for each answer. Use
your coding scheme to calculate the mean response.
Answer
Strongly Disagree
Disagree
Neither
Agree
Strongly Agree
# of Responses
1
2
1
3
8
Central Tendency
Determine the median, the mode and the mean for the following numbers:
2 4 8
4 6 2 7 8 4 3 8 9 4 3 5
Measure of Dispersion
Below is a data set of that was collected:
25
36
28
29
40
20
For the data set above:
1)
2)
3)
4)
What is the range?
What is the mean?
What is the deviation from the mean for each data point?
If the data set collected represented the population, what is the variance and standard
deviation?
5) If the data set collect represented a sample from the population, what is the variance and
standard deviation?
In a normal distribution:
_____% of the data falls within +/- 1 standard deviations
_____% of the data falls withing +/- 2 standard deviations
______% of the data falls within +/- 3 standard deviations
Skewness
A data set has a Median of 15. For the mean’s listed below, how would the data be skewed?
1) Mean = 20
2) Mean = 10
3) Mean = 15
skewed left / symmetric / skewed right
skewed left / symmetric / skewed right
skewed left / symmetric / skewed right
Visual Summary
For each of the scale types listed below, select the best two (2) methods to visually present the data?
1.
2.
3.
4.
Ordinal
Interval
Nominal
Ratio
Bar Chart / Pie Chart / Histogram / Scatter Plot
Bar Chart / Pie Chart / Histogram / Scatter Plot
Bar Chart / Pie Chart / Histogram / Scatter Plot
Bar Chart / Pie Chart / Histogram / Scatter Plot
Bar Chart / Pie Chart
Create a frequency table that can be used to plot the bar and histogram and pie chart for the following
data set:
Male, Female, Female, Female, Male, Male, Male, Other, Female, Female, Female, Female, Male, Female
For the above data set, what is the percentage of the pie that would represent “Female”?
Histogram
For the following data set, create a frequency distribution table that can be used to create a histogram.
In the creation of your table, use four (4) equal intervals. (Warning: be certain that your intervals do not
overlap). Ensure you table includes the mid point of each interval.
2
20
9
4
15
14
16
18
14
12
10
8
4
18
1
12
14
13
Scatterplot
Sketch what a scatterplot what might look like that shows the following relationship between work
experience and salary?
1) Positive Correlation
2) Negative Correlation
3) No Correlation
Answer Key (for Calculations)
Central Tendency:
Mean = 5.13, Mode = 4, Median = 4
Measure of Dispersion:
Range = 20
mean = 29.67
Deviation from the mean = -4.67, 6.33, -1.67, -0.67, 10.33, -9.667
Population Variance = 44.22, Population Standard Deviation = 6.65
Sample Variance = 53.07, Sample Standard Deviation = 7.28
Bar Chart / Pie Chart
Female = 57.1%