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# Dot plots, Histograms, and Box plots

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## Mesha Parks

on 14 December 2014

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#### Transcript of Dot plots, Histograms, and Box plots

MCC9-12.S.ID.1
Represent data with plots on the real number line (dot plots, histograms, and box plots).★
A plot showing the minimum, maximum, first quartile, median, and third quartile of a data set.
Box Plots

Shows a 5-point summary and outliers
Easily compares two or more data sets
Handles extremely large data sets easily

Not as visually appealing as other graphs
Exact values not retained
Box Plot: Pros and Cons
A frequency plot that shows the number of times a response occurred in a data set, where each data value is represented a dot.

Example:
Dot Plot
Simple to make
Shows each individual data point

Can be time consuming with lots of data points to make
Have to count to get exact total
Dot Plot: Pros and Cons
A frequency plot that shows the number of times a response or range of responses occurred in a data set.

Example;
Histograms
Visually strong
Good for determining the shape of the data

Cannot read exact values because data is grouped into categories
More difficult to compare two data sets
Histogram: Pros and Cons
The average value of a data set, found by summing all values and dividing by the number of data points

Example:
Mean
The middle-most value of a data set
Median
Dot plots, Histograms, and Box plots

By: Mesha Parks
Example:
5 + 4 + 2 + 6 + 3 = 20
20 / 5 = 4
The mean is 4
Example:
65, 65, 70, 75, 80, 80, 85, 90, 95, 100
Median of all data, second quartile
First Quartile
The value that identifies the lower 25% of the data; the median of the lower half of the data set; written as Q1
Example:
65, 65, 70, 75, 80, 80, 85, 90, 95, 100
median of lower part, first quartile
Third Quartile
Value that identifies the upper 25% of the data; the median of the upper half of the data set; written as Q3
Example:
65, 65, 70, 75, 80, 80, 85, 90, 95, 100
Median of upper part, third quartile
Interquartile Range
The difference between the third and first quartiles; 50% of the data is contained within this range
Example:
Third Quartile (Q3) - First Quartile (Q1)
Subtract
Practice
Construct a dot plot for the data:
2, 0, 5, 1, 2, 1, 0, 8, 4, 3, 9, 1, 2, 3, 1,
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1 2 3 4 5 6 7 8 9 10
video
Kahoot