Box Plot Lesson 11-4.

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Presentation transcript:

Box Plot Lesson 11-4

What is Box Plot? A graphical representation of a data set as a box in which the data ordered and divided into four intervals or quartiles. Each quartile contains approximately 25% of the data. Q1 ,1st Quartile, 25th percentile, Lower Quartile: 25% of the data lies below the first quartile Q2, median, 2nd Quartile, 50th Percentile: 50% of the data lies below the second quartile Q3, 3rd Quartile, 75th Percentile, Upper Quartile: 75% of the data lies below the third quartile

Example 1: Find the 5 statistical data summary of the box plot Maximum value is 100 Minimum value is 65 Q1=70 Q2 or median =80 Q3=90

Interquartile Range IQR Or Interquartile Range: is a measure of statistical dispersion or spread. It is equal to the difference between the 3rd (upper)quartile and1st (lower) quartile ; Its also called the midspread or middle fifty. IQR = Q3 − Q1.

Example 2: Shown below are the scores 16 students received on a math quiz. 52, 60, 66, 66, 68, 72, 72, 73, 74, 75, 80, 82, 84, 91, 92, 98 Find the five statistical data summary for this data set Construct a box plot on the number line given below.