Analyzing Box and Whisker Plots, Histogram and Data Distribution

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•Easily see lightest / heaviest and range

•The ‘box’ contains the middle 50% of people (the most ‘representative half’)

•The ‘whiskers’ show the lightest 25% and heaviest 25% of people (extremes)

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1. ​​“Lightest girl lighter than lightest boy”

2. ​“Heaviest boy heavier than heaviest girl”

3. ​“Most representative half of girls generally lighter than most representative half of boys”

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1. ​​“Lightest girl same as lightest boy”

2. ​“Heaviest boy same as heaviest girl”

3. ​“All of the most representative half of girls lighter than most representative half of boys”

4. ​“Three quarters of girls lighter than three quarter of boys”

Symmetrical Distribution

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​Positive skew: median closer to Lower Quartile (Q1) than the Upper Quartile (Q3).

​Negative skew: median closer to Upper Quartile (Q3) than Lowere Quartile (Q1)

Other Names:

Lower Extreme = Least Value = Minimum

Lower Quartile = First Quartile = Q1

Median = Q2

Upper Quartile = Third Quartile = Q3

Upper Extreme = Greatest Value = Maximum

Use the frequency table on The Golf Tournament Scores to create a histogram,

-a bar graph used to display the frequency of data divided into equal intervals

-the bars must be of equal width and should always touch but never overlap

Each dot represents one answer. In the sheet to the right, 3 students answered that they had 0 cookies at lunch. 5 said they had 2 cookies.