Lesson 1: Introduction to Measures of Position

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Which of the following measures of central tendency is the middlemost value when the data are arranged in increasing or decreasing order?

• Mean

• Median

• Mode

• Variance

Answer explanation

The median divides the distribution into two equal parts.

Which of the following determines the position of a single value in relation to other values in a data set?

• measure of central tendency

• measure of position

• measure of variability

• measure of location

Answer explanation

A measure of position determines the position of a single value in relation to other values in a data set.

The three measures of position are quartile, decile, and percentile.

What do we call these values that divide a set of arranged data into equal parts?

• positions

• locations

• quantiles

• partitions

Answer explanation

The three measures of position are quartile, decile, and percentile. They are referred to as Quantiles.

Quantiles are values that split sorted data or distribution into equal parts.

Which of the following quantiles divides the number of data points into four equal parts?

• Quartile

• Decile

• Percentile

• Pentile

Answer explanation

Quartile is a type of quantile which divides the number of data points into four equal parts.

How many quartile points are there?

• 1

• 2

• 3

• 4

Answer explanation

Quartile has four equal parts with three quartile points.

Each quartile represents 25%. How many percent is below Quartile 3?

• 100%

• 75%

• 50%

• 25%

Answer explanation

Q1 = 25%

Q2 = 50%

Q3 = 75%

How many percent is above Q1?

• 25%

• 50%

• 75%

• 100%

Which of the following quantiles divides the number of data points into ten equal parts?

• Quartile

• Pentile

• Decile

• Percentile

Answer explanation

Decile is a type of quantile which divides the number of data points into ten equal parts.

How many percent does each decile represent?

• 100%

• 50%

• 25%

• 10%

Answer explanation

Decile has 10 parts, each represents 10%.