RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF CENTER AND SPREAD

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which of the following lists all parts of the five number summary?
A
Mean, Median, Mode, Range, and Total
B
Minimum, Quartile 1, Median, Quartile 3, and Maximum
C
Smallest, Q1, Q2, Q3, and Q4
D
Minimum, Maximum, Range, Mean, and Median
Explanation: 

Detailed explanation-1: -A box and whisker plot-also called a box plot-displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

Detailed explanation-2: -The first quartile, also known as Q1, is the median of the lower half of the data. The five number summary of a set of data is the minimum, first quartile, second quartile, third quartile, and maximum. The lower quartile, also known as Q1, is the median of the lower half of the data.

Detailed explanation-3: -The 5 number summary consists of the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3) and the maximum. On a box plot, the minimum and maximum are shown by the first and last lines respectively. The lower quartile is found where the box begins and the upper quartile is found where the box ends.

Detailed explanation-4: -The five-number summary (5′S)is a technique of exploratory data analyses developed with the aim of investigating oneor more data sets. It consists of five descriptive measures (Anderson 2007): minimumvalue (x min), firstquartile (Q 1), median (Me), thirdquartile (Q 3), andmaximum value (x max).

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