Math 110: Exam 2 – Questions and Verified
Solutions | Guaranteed Pass
3 Rules of Data Analysis - Correct Answer✔✔-•Make a Picture: It helps you
see patterns and relationships hidden in the data table.
•Make a Picture: It's more interesting to an audience or your readers, and allows
you to emphasize the important features of the data in a presentation
•Make a Picture: It's more intuitive for visual thinkers which is a large
percentage of the population.
How to present categorical data graphically: - Correct Answer✔✔-Frequency
Tables, Bar Graphs, Pareto Chart, Pie Chart,
Frequency Table - Correct Answer✔✔-a table whose first column displays
each distinct outcome and second column displays that outcome's frequency.
Bar Graph - Correct Answer✔✔-A Bar Graph is a graph that displays a bar for
each category with the length of each bar indicating the frequency.
Pareto Chart - Correct Answer✔✔-A Pareto Chart is a bar graph ordered from
highest to lowest frequency.
,Pie Chart - Correct Answer✔✔-A pie chart is a circle with wedges cut of
varying sizes marked out like slices of pie or pizza. The relative sizes of the
wedges correspond to the relative frequencies of the categories. You can also
add the labels beside each slice, or the raw scores, or the relative scores as I
have done here.
Distorting Graph Practices - Correct Answer✔✔-pictograms, 3D bar graphs,
and setting baseline value other than 0
Presenting Quantitative Data Graphically - Correct Answer✔✔-Histograms
Histogram - Correct Answer✔✔-a bar chart but where the horizontal axis is, is
a number line.
Numerical Summaries of Data - Correct Answer✔✔-Measures of Central
Tendency or Measures of Spread or Variation
Measures of Central Tendency - Correct Answer✔✔-mean, median, mode
, Measures of Spread or Variation - Correct Answer✔✔-range, standard
deviation and variance, IQR and 5 number summary
Mean - Correct Answer✔✔-average of all numbers added up then divided by 2
The Mean is the "Balancing Point" - Correct Answer✔✔-If you put your
histogram on some sort of balance, the mean is the point where the histogram
will balance perfectly.
The Median - Correct Answer✔✔-center of the data values
Calculating the Median: Odd Sample Size - Correct Answer✔✔-•First order
the numbers (smallest to largest or vice versa, doesn't matter).
So 7, 9, 4, 2, 9, 6, 5
becomes 2, 4, 5, 6, 7, 9, 9.
•If there are an odd number of numbers, the median is the middle number.
Count in from the ends.
•Find the median of the numbers: 2, 4, 5, 6, 7, 9, 9.
•The median is the middle number: 6
Solutions | Guaranteed Pass
3 Rules of Data Analysis - Correct Answer✔✔-•Make a Picture: It helps you
see patterns and relationships hidden in the data table.
•Make a Picture: It's more interesting to an audience or your readers, and allows
you to emphasize the important features of the data in a presentation
•Make a Picture: It's more intuitive for visual thinkers which is a large
percentage of the population.
How to present categorical data graphically: - Correct Answer✔✔-Frequency
Tables, Bar Graphs, Pareto Chart, Pie Chart,
Frequency Table - Correct Answer✔✔-a table whose first column displays
each distinct outcome and second column displays that outcome's frequency.
Bar Graph - Correct Answer✔✔-A Bar Graph is a graph that displays a bar for
each category with the length of each bar indicating the frequency.
Pareto Chart - Correct Answer✔✔-A Pareto Chart is a bar graph ordered from
highest to lowest frequency.
,Pie Chart - Correct Answer✔✔-A pie chart is a circle with wedges cut of
varying sizes marked out like slices of pie or pizza. The relative sizes of the
wedges correspond to the relative frequencies of the categories. You can also
add the labels beside each slice, or the raw scores, or the relative scores as I
have done here.
Distorting Graph Practices - Correct Answer✔✔-pictograms, 3D bar graphs,
and setting baseline value other than 0
Presenting Quantitative Data Graphically - Correct Answer✔✔-Histograms
Histogram - Correct Answer✔✔-a bar chart but where the horizontal axis is, is
a number line.
Numerical Summaries of Data - Correct Answer✔✔-Measures of Central
Tendency or Measures of Spread or Variation
Measures of Central Tendency - Correct Answer✔✔-mean, median, mode
, Measures of Spread or Variation - Correct Answer✔✔-range, standard
deviation and variance, IQR and 5 number summary
Mean - Correct Answer✔✔-average of all numbers added up then divided by 2
The Mean is the "Balancing Point" - Correct Answer✔✔-If you put your
histogram on some sort of balance, the mean is the point where the histogram
will balance perfectly.
The Median - Correct Answer✔✔-center of the data values
Calculating the Median: Odd Sample Size - Correct Answer✔✔-•First order
the numbers (smallest to largest or vice versa, doesn't matter).
So 7, 9, 4, 2, 9, 6, 5
becomes 2, 4, 5, 6, 7, 9, 9.
•If there are an odd number of numbers, the median is the middle number.
Count in from the ends.
•Find the median of the numbers: 2, 4, 5, 6, 7, 9, 9.
•The median is the middle number: 6
