#### 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

Advantages:

Shows a 5-point summary and outliers

Easily compares two or more data sets

Handles extremely large data sets easily

Disadvantages:

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

Advantages:

Simple to make

Shows each individual data point

Disadvantages:

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

Advantages:

Visually strong

Good for determining the shape of the data

Disadvantages:

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,

___________________________

1 2 3 4 5 6 7 8 9 10

video

Kahoot

http://create.kahoot.it/#quiz/8b4436fe-77d7-453c-96d2-74960698acad/done

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