Exam 1

1. Metainformation

   Tag	Value
   file	Descriptive-statistics_vufsw-interquartilerange-1083-en_vufsw-interquartilerange-1083-en
   name	vufsw-interquartilerange-1083-en
   section	descriptive statistics/summary statistics/measures of spread/interquartile range/ boxplot
   type	schoice
   solution	FALSE, FALSE, TRUE, FALSE, FALSE
   Type	interpretating output
   Program	calculator
   Language	English
   Level	statistical literacy

   Question

   A curious researcher asked a sample of students in an online questionnaire about their shoe size. The box plot below shows the answers.
   Based on the box plot, what was (about) the interquartile range?

   

   
   
   1. FALSE: 1 shoe size
   2. FALSE: 2 shoe sizes
   3. TRUE: 3 shoe sizes
   4. FALSE: 8 shoe sizes
   5. FALSE: 4 shoe sizes
   
   

   Solution

   It is 3: from 39 - 42
   The interquartile range is a measure of where the middle fifty is in a data set. Where a range is a measure of where the beginning and end are in a set, an interquartile range is a measure of where the bulk of the values lie.That’s why it’s preferred over many other measures of spread (i.e. the average of median) when reporting things like school performance or SAT scores. The interquartile range formula is the first quartile subtracted from the third quartile:

   IQR = Q₃ – Q₁.

   Language
   English

   Levels of Difficulty
   Easy

   M&T Basics of quantitative research
   Basics of quantitative research

   M&T BIS
   Default value

   M&T Descriptive statistics
   Default value

   M&T Distributions
   Default value

   
   
   1. False
   2. False
   3. True
   4. False
   5. False