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Statistics, STD2 S1 2016 HSC 27c

The heights of 400 students were measured. The results are displayed in this cumulative frequency polygon.
 

2ug-2016-hsc-q27_2

 
Use the polygon to estimate the interquartile range.  (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

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`36\ text(cm)`

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`text(See graph for values:)`

♦ Mean mark 46%.

2ug-2016-hsc-q27c-answer

`IQR` `= Q_3 – Q_1`
  `= 172 – 136`
  `= 36\ text(cm)`

Filed Under: Bar Charts and Histograms, Bar Charts and Histograms, Bar Charts and Histograms, Bar Charts and Histograms (Std 2), Bar Charts and Histograms (Y12), Bar Charts, Histograms and Other Graphs (Std 1) Tagged With: Band 5, common-content, smc-1128-20-Cumulative Frequency Histograms, smc-1128-30-IQR, smc-6310-30-Cumulative Frequency Histograms, smc-6310-40-IQR, smc-6530-30-Cumulative Frequency Histograms, smc-6530-40-IQR, smc-821-20-Cumulative Frequency Histograms, smc-821-30-IQR, smc-997-20-Cumulative Frequency Histograms, smc-997-30-IQR

Statistics, STD2 S1 2005 HSC 9 MC

A set of data is represented by the cumulative frequency histogram and ogive.
 

2UG-2005-9MC
 

What is the best approximation for the interquartile range for this set of data?

  1.    25
  2.    30
  3.    35
  4.    40
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`C`

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2UG-2005-9MC Answer

`IQR` `= Q3 − Q1`
  `= 80 − 45`
  `= 35`

`=>  C`

Filed Under: Bar Charts and Histograms, Bar Charts and Histograms, Bar Charts and Histograms, Bar Charts and Histograms (Std 2), Bar Charts and Histograms (Y12), Bar Charts, Histograms and Other Graphs (Std 1) Tagged With: Band 5, common-content, smc-1128-20-Cumulative Frequency Histograms, smc-1128-30-IQR, smc-6310-30-Cumulative Frequency Histograms, smc-6310-40-IQR, smc-6530-30-Cumulative Frequency Histograms, smc-6530-40-IQR, smc-821-20-Cumulative Frequency Histograms, smc-821-30-IQR, smc-997-20-Cumulative Frequency Histograms, smc-997-30-IQR

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