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Mgf2106 Survey Of Mathematics Project 5 Statistics

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Algebra
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Daytona State College
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MGF2106 (Survey of Mathematics) Project 5: Statistics
Submitted by: Madison Cluxton
Part 1: Bar Graph.
1. Vertical bar graph.
Table 1. Transportation to work or school data.
Car
8 people
SUV
5 people
Truck
4 people
Motorcycle
1 person
Other
2 people
Figure 1. Transportation to work or school vertical bar graph.
2. The difference between the data in a bar graph and the data in histogram is
that with bar graph each column is based in a group defined by a categorical
variable while in a histogram each column represents a group defined by a
quantitative variable. Also, a bar graph has gaps while a histogram does not
have gaps.

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Part 2: Data, Frequency Tables, and Histograms.
3. First Sample data: {4,7,12,10,7,1,6,5,12,8,9,14,3,7,11,9,6,10,11,11,9,7,6,4}
a. Mean of the sample data:
                              


b. Data from lowest to highest values:
{1, 3, 4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 14}
c. Median of the data:
{1, 3, 4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 14}


d. Mode of the data:
The value with a higher frequency is 7

e. Comparing values of mean and median:
We can see that the mean is greater than the median which means that the
median will be on the left of the mean.
Table 2. Frequency table for the first data set.
Data Values
Frequency
1-3
2
4-6
6
7-9
8
10-12
7
13-15
1

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MGF2106 (Survey of Mathematics) Project 5: Statistics Submitted by: Madison Cluxton Part 1: Bar Graph. 1. Vertical bar graph. Table 1. Transportation to work or school data. Car 8 people SUV 5 people Truck 4 people Motorcycle 1 person Other 2 people Figure 1. Transportation to work or school vertical bar graph. 2. The difference between the data in a bar graph and the data in histogram is that with bar graph each column is based in a group defined by a categorical variable while in a histogram each column represents a group defined by a quantitative variable. Also, a bar graph has gaps while a histogram does not have gaps. Part 2: Data, Frequency Tables, and Histograms. 3. First Sample data: {4,7,12,10,7,1,6,5,12,8,9,14,3,7,11,9,6,10,11,11,9,7,6,4} a. Mean of the sample data: 𝑥̅ = 4 + 7 + 12 + 10 + 7 + 1 + 6 + 5 + 12 + 8 + 9 + 14 + 3 + 7 + 11 + 9 + 6 + 10 + 11 + 11 + 9 + 7 + 6 + 4 24 𝑥̅ = 7.9 b. Data from lowest to highest values: {1, 3, 4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 14} c. Median of the data: {1, 3, 4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 14} Median = 7+8 = 7.5 2 d. Mode of the data: The value with a higher frequency is 7 Mode = 7 e. Comparing values of mean and median: We can see that the mean is greater than the median which means that the median will be on the left of the mean. Table 2. Frequency table for the first data set. Data Values 1-3 4-6 7-9 10-12 13-15 Frequency 2 6 8 7 1 ...
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