Description

Learning Objectives. To have the capacity to draw an aggregate recurrence bend and utilize it to assess the middle and interquartile range and draw a crate plot. Does anyone recollect how to draw a Cumulative Frequency Diagram?. Total Frequency CurvesCumulative Frequency = a running aggregate of the dataMedian = Half far up the Cumulative FrequencyLower Quartile (LQ) =

Transcripts

Aggregate Frequency and Box Plots

Learning Objectives To have the capacity to draw a total recurrence bend and utilize it to appraise the middle and interquartile range and draw a case plot

Does anyone recall how to draw a Cumulative Frequency Diagram?

Cumulative Frequency Curves Cumulative Frequency = a running aggregate of the information Median = Half far up the Cumulative Frequency Lower Quartile (LQ) = ¼ far up Cum Freq Upper Quartile (UQ) = ¾ far up Cum Freq Inter Quartile Range = UQ - LQ

Big Worked Example The table beneath demonstrates the quantity of minutes understudies were late for their fun variable based math lesson. (a) Draw a Cumulative Frequency Diagram of the information (b) Use it to locate the Median , Lower Quartile , Upper Quartile , and Inter Quartile Range (c) Draw a Box-Plot accepting a base time of o minutes and a greatest of 25 minutes

x 80 x Cum freq 60 x Median = Middle Value 40 QUARTILES Lower Quartile = ¼ way Upper Quartile = ¾ way x 20 x 8½ 12½ 15½ 5 10 15 20 25 t mins Interquartile Range = 15½ - 8½ = 7 mins

Does anyone have any thought what a Box Plot is?

1 2 5 3 4 Box Plots Box Plots (Box and Whisker Diagram) are another method for showing information for correlation with draw a Box Plot we require FIVE bits of data: 1. The Minimum Value 2. Lower Quartile (Q 1 ) 3. The Median (Q 2 ) 4. Upper Quartile (Q 3 ) 5. Most extreme Value They are attracted the accompanying way: BOX = The area of the center half of the information WHISKERS = How the information is spread in general

70 60 50 ¾ 40 Cumulative Frequency ½ IQR = 38 – 21 = 17 mins 30 20 ¼ Median = 27 10 UQ = 38 LQ = 21 0 40 50 20 30 60 70 10 Minutes Late 20 0 10 30 40 50 60 Box Plot from Cumulative Frequency Curve

Lower Quartile Lowest esteem Highest worth Median Upper Quartile 0 5 10 15 20 25 t mins Box Plot

Work Ex 7:1 Page 62 Questions 5 and 6