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Measuring Central Tendency: Averages in Modern Business Mathematics - Prof. Brigitte Marti, Study notes of Mathematics

This document from 'modern business mathematics' by brigitte martineau introduces the concept of measures of central tendency, specifically averages. Various types of averages, including mean, median, mode, and midrange, and provides examples for calculation. Students are encouraged to find the measures of central tendency for given sets of data and determine which measure is most representative.

Typology: Study notes

Pre 2010

Uploaded on 08/09/2009

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MTH 130 Modern Business Mathematics
Brigitte Martineau Section 5.1
Page 1 of 3
5.1 Measures of Central Tendency - Averages
The many meanings of the word Average
Some examples of measures of Central tendency are:
What do they measure?
1.
X
- is the symbol for _________________________________
X
=
2. The _______________ is the value in the middle of a set or ranked data.
Ex: 2, 3, 1
Ex: 5, 8, 1, 9
3. The ______________ is the piece of data that occurs most frequently.
4. The _________________________ is the value halfway between the lowest and the
highest value in the data.
lowest value + highest value
midrange =
2 2
Min Max
+
=
pf3

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Brigitte Martineau Section 5.

5.1 Measures of Central Tendency - Averages

The many meanings of the word Average

Some examples of measures of Central tendency are:

What do they measure?

  1. X - is the symbol for _________________________________

X =

  1. The _______________ is the value in the middle of a set or ranked data.

Ex: 2, 3, 1

Ex: 5, 8, 1, 9

  1. The ______________ is the piece of data that occurs most frequently.
  2. The _________________________ is the value halfway between the lowest and the highest value in the data.

lowest value + highest value midrange = 2 2

Min + Max

Brigitte Martineau Section 5.

Examples

Consider the following 2 sets of data. Calculate the Averages for each. If there is no mode, say so (no mode or n/a).

Data Set Mean Median Mode Midrange

Let’s practice

  1. Find the four measures of central tendency seen for the following set of data: 2, 5, 7, 6, 10, 12
  2. Which of these four measures is the most appropriate (most representative of this set of data)?