Constructing a cumulative frequency table

Slides:

Advertisements

Similar presentations

The projected population of the U.K. for 2005 ( by age ) The boxOne whisker The other whisker The box can be any depth. median minimum age maximum age.

Advertisements

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.

Cumulative Frequency Diagrams & Box Plots. Cumulative Frequency Time t minutes 0≤t

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

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

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 Diagrams & Box Plots

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

Cumulative Frequency, Box Plots, Percentiles and quartiles.

Box and Whisker Plots/Graphs Used to show data Broken up into 4 quarters or quartiles. Uses a number line Need to find 5 numbers in order to create.

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

Box – and – Whisker Plots. -a method of displaying and interpreting a data set -data is first arranged into numeric order ( small to large )

Do Now Find the mean, median, mode, and range of each data set and then state which measure of central tendency best represents the data. 1)2, 3, 3, 3,

Stem and Leaf Bingo. Pick 8 from the list

Cumulative frequency graphs

Median, Quartiles, Inter-Quartile Range and Box Plots. Measures of Spread Remember: The range is the measure of spread that goes with the mean. Mean =

Vocabulary to know: *statistics *data *outlier *mean *median *mode * range.

Cumulative frequency Cumulative frequency graph

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

Do Now: What information can you derive from a box plot? How is that information displayed? Click when ready 

Single middle value The Median The median is the middle value of a set of data once the data has been ordered. Example 1. Robert hit 11 balls at Grimsby.

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.

MM2D1: Using sample data, students will make informal inferences about population means and standard deviations b. Understand and calculate the means and.

Cumulative Frequency and Box Plots

Box-and-Whisker Plots

Box and Whisker Plots or Boxplots

a graphical presentation of the five-number summary of data

Calculating Median and Quartiles

Cumulative Frequency Diagrams

Name:_______________________ P - ___________ P - ___________

Cumulative Frequency Diagrams & Box Plots

Box-and-Whisker Plots

Cumulative Frequency Diagrams & Box Plots

Cumulative Frequency and Box Plots.

Box-and-Whisker Plots

Box-and-Whisker Plots

Cumulative Frequency and Box Plots

How to draw a cumulative frequency graph

Box-and-Whisker Plots

Range between the quartiles. Q3 – Q1

Draw a cumulative frequency table.

Box-and-Whisker Plots

Cumulative Frequency and Box Plots.

How to draw a cumulative frequency graph

Measures of Central Tendency

Box-And-Whisker Plots

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.

Box-and-Whisker Plots

Box-and-Whisker Plots

Box and Whisker Plots A.K.A Box Plots.

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

Box-and-Whisker Plots

Box-And-Whisker Plots

Box-And-Whisker Plots

5 Number Summaries.

Box-and-Whisker Plots

Box and Whisker Plots and the 5 number summary

Cumulative Frequency and Box Plots.

Box-and-Whisker Plots

Box-and-Whisker Plots

Find the Mean of the following numbers.

} 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:

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

0 ≤ a < 10 8 10 ≤ a < 20 26 20 ≤ a < 30 32 30 ≤ a < 40 45 A golf club has 200 members. Their ages are shown in the frequency table below. A cumulative frequency (or a “less than”) table can be drawn from this data. Age (a years) Frequency 0 ≤ a < 10 8 10 ≤ a < 20 26 20 ≤ a < 30 32 30 ≤ a < 40 45 40 ≤ a < 50 37 50 ≤ a < 60 29 60 ≤ a < 70 16 70 ≤ a < 80 7 Age (a years) Cumulative frequency a < 10 a < 20 a < 30 a < 40 a < 50 a < 60 a < 70 a < 80 8 8 +26 34 +32 66 +45 111 +37 148 +29 177 +16 193 +7 200 How old is the youngest/oldest person?

a < 10 a < 20 a < 30 a < 40 a < 50 a < 60 a < 70 We can now use this to draw a cumulative frequency graph. Age (a years) Cumulative frequency a < 10 a < 20 a < 30 a < 40 a < 50 a < 60 a < 70 a < 80 10 8 8 20 34 34 30 66 66 40 111 111 50 148 148 60 177 177 70 193 193 80 200 200

a < 10 a < 20 a < 30 a < 40 a < 50 a < 60 a < 70 We can now use this to draw a cumulative frequency graph. Age (a years) Cumulative frequency a < 10 a < 20 a < 30 a < 40 a < 50 a < 60 a < 70 a < 80 8 34 66 111 148 177 193 200

Cumulative Frequency graph. We can now use this to find the following information.. Median 37 Lower quartile 25 Upper quartile 51 Lowest Value Highest Value 80 Interquartile range 51 - 25 26 This information can now be used to draw a box and whisker diagram..