Data and Statistics Unit Review

S-ID.1: Represent data with plots on the real number line (dot plot, histogram, box-and-whiskers plot)

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S-ID.2: Use statistics appropriate to the shape of the data distribution to compare center (median & mean) and spread (interquartile range & standard deviation) of two or more different data sets

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​S-ID.4: Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not.

You may use one page of notes front and back for your test...use today to start.

• Shown on a number line

• Dots represent individual pieces of data

• Dots are stacked if the same number shows up more than once in the set

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S-ID.1

Dot Plots

​0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7

• Used to show quantitative data

• ​Bars represent ranges rather than individual numbers or categories

• Bars touch

• Example: first b​ar represents 2 people who are between the age of 20-30 but NOT INCLUDING 30

Histogram

S-ID.1

• Used to show quantitative data

• 5 number summary: minimum, maximum, median, 1st quartile, 3rd quartile

• 1st quartile = median of first half of data

• 3rd quartile = median of second half of data​

Box-and-whiskers

S-ID.1

• mean = average = add all data points together & divide by amount of data points

• ​median = middle of your data

• mode = most common number that appears in your data​

​Mean, Median, Mode

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S-ID.2

• range = maximum - minimum

• interquartile range = 3rd quartile - 1st quartile​

S-ID.2

range & interquartile range​

1. Calculate mean

2. Subtract each data point

3. Square each difference

4. Add all together

5. Divide by amount of data points

6. Square root​

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S-ID.4

Standard deviation

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​Sal: 91, 92, 93, 96

Prepare for your test!

• You will be allowed 1 page of handwritten notes front and back.

• Use these slides and/or your class notes to help you create your note page.