Calculating Median and Quartiles

Slides:

Advertisements

Similar presentations

Objective Box-and-Whisker Plots Draw a box-and-whisker plot to organize real-life data. Read and interpret a box-and-whisker plot of real-life data.

Advertisements

Measures of Position - Quartiles

Learn to find measures of variability. Box-and-whisker Plots.

Cumulative Frequency and Box Plots. Learning Objectives  To be able to draw a cumulative frequency curve and use it to estimate the median and interquartile.

Starter 1.Find the median of Find the median of Calculate the range of Calculate the mode.

Cumulative Frequency Curves. Outcomes… Calculate the cumulative frequency Write down the upper class boundaries Plot the cumulative frequency curve Find.

Box and Whisker Plot 5 Number Summary for Odd Numbered Data Sets.

Box and Whisker Plots A diagram that summarizes data by dividing it into four parts. It compares two sets of data.

EXAMPLE 1 Make a box-and-whisker plot SONG LENGTHS The lengths of songs (in seconds) on a CD are listed below. Make a box-and-whisker plot of the song.

Quartiles & Extremes (displayed in a Box-and-Whisker Plot) Lower Extreme Lower Quartile Median Upper Quartile Upper Extreme Back.

CHAPTER 39 Cumulative Frequency. Cumulative Frequency Tables The cumulative frequency is the running total of the frequency up to the end of each class.

Cumulative frequency Constructing a cumulative frequency table Using a cumulative frequency graph to construct a box and whisker diagram.

Drawing and comparing Box and Whisker diagrams (Box plots)

Materials Reminders. Get out your agenda if you see your name below. You need to come to my room tomorrow. Period 2Period 7.

Creating a Box-and-Whisker Plot O To create your own box-and-whisker plot, you must first find the following values. Lowest Value Lower Quartile Median.

Continued… Obj: draw Box-and-whisker plots representing a set of data Do now: use your calculator to find the mean for 85, 18, 87, 100, 27, 34, 93, 52,

Cumulative frequency graphs

Box and Whisker Plots Measures of Central Tendency.

Section 4-8 Box and Whisker Plots. A Box and Whisker plot can be used to graphically represent a set of data points Box whiskers.

Math I - Notes Box and Whisker Plots I CAN create a box and whisker plot I CAN interpret a box and whisker plot A box and whisker plot is a data display.

Warm Up Simplify each expression

How to draw and use….. Cumulative frequency graphs.

Box Plots Show the Spread of Data BOX PLOT NOTES.

Box and Whisker Plots Example: Comparing two samples.

Box and Whisker Plots. Vocabulary To make a box and whisker plot, we break the data in quartiles. The ________________ _________________ is the median.

Creating a Box-and-Whisker Plot O To create your own box-and-whisker plot, you must first find the following values. Lowest Value Lower Quartile Median.

5,8,12,15,15,18,20,20,20,30,35,40, Drawing a Dot plot.

Cumulative Frequency and Box Plots

Lesson 6.7: Box-and-whisker plots

a graphical presentation of the five-number summary of data

Line Plots & Box-and-Whiskers Plots

Find the lower and upper quartiles for the data set.

Cumulative Frequency Diagrams

Box Plots EQ: How do you analyze box plots?

Cumulative Frequency and Box Plots

How to draw a cumulative frequency graph

Calculating the median

Lesson 13.8 Interpret Box-and-Whisker Plots

BOX-and-WHISKER PLOT (Box Plot)

Draw a cumulative frequency table.

Approximate the answers by referring to the box plot.

Cumulative Frequency.

How to draw a cumulative frequency graph

How to make a box and whisker plot

Box-And-Whisker Plots

Cumulative Frequency.

Statistics and Data (Algebraic)

Box-and-Whisker Plots

Main Idea and New Vocabulary

12.4 Box-and-Whisker Plots

Box and Whisker Plots A diagram that summarizes data by dividing it into four parts. It compares two sets of data. Dittamo & Lewis 2014.

MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-12.S.1D.2 and MCC9-12.S.ID.3

1-4 Quartiles, Percentiles and Box Plots

Box-and-Whisker Plots

. . Box and Whisker Measures of Variation Measures of Variation 8 12

Box-and-Whisker Plots

Box-And-Whisker Plots

Box-And-Whisker Plots

Box and Whisker Plots.

Constructing a cumulative frequency table

Box Plots CCSS 6.7.

Box and Whisker Plots and the 5 number summary

Box and Whisker Wkst Use this for #

BOX-and-WHISKER PLOT (Box Plot)

} Cumulative frequency “Quarter” QUARTILE:

Starter Find the medians of these sets of data: 1, 6, 5, 3, 8, 5, 4

Cumulative Frequency and Box Plots

Presentation transcript:

Calculating Median and Quartiles Small Data Sets For an even number of pieces of data: 2 3 3 3 5 6 6 7 9 9 2 3 3 3 5 6 6 7 9 9 Q1 3 Q2 5.5 Q3 7 The Median (Q2) is the th value The lower quartile (Q1) is the median of the lower half The upper quartile (Q3) is the median of the upper half.

Calculating Median and Quartiles Small Data Sets For an odd number of pieces of data: 1 2 3 3 3 5 6 6 7 9 9 9 11 2 3 3 3 5 6 6 7 9 9 9 Q1 3 Q26 Q3 9 The Median (Q2) is the th value The lower quartile (Q1) is the median of the values below the median The upper quartile (Q3) is the median of the values above the median.

Find Median and quartiles of this data Identify outliers Draw a box plot 6 14 19 22 25 26 29 29 30 31 32 32 38 48

Number of Lengths Frequency 1 ≤ L < 10 3 10 ≤ L < 20 17 20 ≤ L < 30 24 30 ≤ L < 40 18 40 ≤ L < 50 29 50 ≤ L < 60 30 60 ≤ L < 70 33 70 ≤ L < 80 80 ≤ L < 90 20 90 ≤ L < 100 9 TOTAL 200 Cumulative Frequency

Films Data

Physics × × Art × ×