Find the MEDIAN for the following sets of numbers. Bell Ringer Find the MEDIAN for the following sets of numbers. 3, 5, 2, 9, 6 2. 1.5, 2.6, 5, 4 3. 97, 25, 100, 100, 16 4. 32, 33, 33, 33, 0, 0, 6

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Section 13.3 Measures of Variation R drive > Key > April 20_24 > 4_20__13.3 Measures of Variation File > Save As > P drive > Math > April 20_24 >

Vocabulary (There will be more vocabulary later) Measures of Variation - Used to describe the distribution of the data. Range – A measure of variation that tells the difference between the greatest and the least values of the set. It describes whether the data are spread out or clustered together

Find the range for each set of data. Example 1 Find Range Find the range for each set of data.

Find the range for each set of data. Example 2 Find Range Find the range for each set of data. The age in years of Mrs. Tyznik’s grandchildren: 27, 8, 5, 19, 21, 10, 4, and 21.

Example 3 – Your Turn Find Range Find the range for each set of data. The cost in dollars of DVDs: 20, 25, 15, 16, 10, and 19

Vocabulary Quartiles- The values that divide the data into four equal parts. Lower Quartile (Q1) – The median of the lower half set of data Median(Q2) – The middle number in the data Upper Quartile (Q3)- The median of the upper half of a set of data Interquartile Range (IQR)- The range of the middle half of a set of data. The difference between the upper quartile and the lower quartile

Notes

Notes The median of a set of data separates the set in half One half of the data lies between the lower quartile and the upper quartile Interquartile range = Upper Quartile Minus Lower Quartile IQR = Q3 – Q1 Measures of Variation: Range Lower Quartile Median Upper Quartile

Example 4 Identify Measures of Variation Find the range, Q1, Q2, and Q3 for the data in the table.

Notes A small IQR means that the data in the middle of the set are close in value. A large IQR means that the data in the middle are spread out, or vary.

Example 5 Identify Measures of Variation Find the range, Q1, Q2, and Q3 for the data in the table.

Example 6 Identify Measures of Variation Find the range, Q1, Q2, and Q3 for the data in the table.

Vocabulary Outlier – Data that are more than 1.5 times the value of the interquartile range beyond the quartiles

Find any outliers in the data set. Example 7 Find Outliers Find any outliers in the data set.

Find any outliers in the data set. Example 7 Find Outliers Find any outliers in the data set.

Homework Section 13.3 # 1-7 (Note: The measures of variation are Range, Median, Upper Quartile, and Lower Quartile)

Homework Section 13.3 # 1-7 (Note: The measures of variation are Range, Median, Upper Quartile, and Lower Quartile)

Homework Section 13.3 # 1-7 (Note: The measures of variation are Range, Median, Upper Quartile, and Lower Quartile)