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dsc-measures-of-dispersion-quiz-data-science's Introduction

Measures of Dispersion - Quiz

Objectives

You will be able to:

  • Describe the significance of calculating measures of dispersion for continuous data
  • Understand the formula and intuition behind mean absolute deviation, standard deviation and variance
  • Understand the formula and intuition behind quantiles/quartiles and percentiles
  • Understand and interpret Interquartile distances with box plots

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Measures of Dispersion

?: Summary statistics for two samples of data are

Sample 1:
mean = 19 variance = 10

Sample 2:
mean = 10 variance = 19

Which sample has the larger spread of observations?

( ) Sample 1 (X) Sample 2

?: Consider the following unordered set of data:

4 4 4 9 5 0 5 1 5 3 5 7 5 8 6 2 6 6 6 6 6 8 7 1 7 5 7 7 8 0 8 5

What is the InterQuartile Range (IQR) for this dataset?

( ) 2 (X) 3 ( ) 3.5 ( ) 4.25

?: Imagine that the number of marriages registered over a 10 year period were as follows:

Table 1. Number of registered marriages

Year Number of Marriages
1 40,650
2 40,812
3 41,300
4 41,450
5 39,594
6 40,734
7 39,993
8 38,814
9 37,828
10 35,716

What is the median number of marriages?

( ) 41,886 ( ) 38,997 ( ) 39,594 (X) 40,321

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