# Thread: MTH302 - Business Mathematics & Statistics GDB Announcement 23 July 2010

1. ## MTH302 - Business Mathematics & Statistics GDB Announcement 23 July 2010

The topic for Graded Moderated Discussion Board is

"What are the benefits of measures of central tendency? Explain with an example

Opening Date of Graded Discussion Board: 26th July 2010 at 12:00am
Closing Date of Graded Discussion Board: 27th July 2010 at 11:59pm  Reply With Quote

2. ## Idea Solution Please Don't Copy

Code:
`(in descriptive statistics) an indication of the middle point of distribution for a particular group. Measures include the mean average score, the median or middle score of distribution, and the mode, the most frequently occurring measure.`

Measures of Central Tendency
Definition of Measures of Central Tendency
 A measure of central tendency is a measure that tells us where the middle of a bunch of data lies.
 The three most common measures of central tendency are the mean, the median, and the mode.
More about Measures of Central Tendency
 Mean: Mean is the most common measure of central tendency. It is simply the sum of the numbers divided by the number of numbers in a set of data. This is also known as average.
 Median: Median is the number present in the middle when the numbers in a set of data are arranged in ascending or descending order. If the number of numbers in a data set is even, then the median is the mean of the two middle numbers.
 Mode: Mode is the value that occurs most frequently in a set of data.
Examples of Measures of Central Tendency
 For the data 1, 2, 3, 4, 5, 5, 6, 7, 8 the measures of central tendency are

Mean = 1, 2, 3, 4, 5, 5, 6, 7, 8/9= 41/9= 4.56
Median = 5
Mode = 5
Solved Example on Measures of Central Tendency
Find the measures of central tendency for the data set 3, 7, 9, 4, 5, 4, 6, 7, and 9.
Choices:

A. Mean = 6, median = 6 and modes are 4, 7 and 9
B. Mean = 6, median = 6 and mode is 4
C. Mean = 6, median = 6 and modes are 4 and 9
D. Mean = 6, median = 9 and modes are 4, 7 and 9
Solution:
Step 1: Mean, median and mode of a data set are the measures of central tendency.
Step 2:
Mean of the data set = sum of the data values/Number of the data values [Formula.]
Step 3: 3+7+9+4+5+4+6+7+9/9 [Substitute the values.]
Step 4: =54/9=6 [Add the data values in the numerator and divide.]
Step 5: The data set in the ascending order is 3, 4, 4, 5, 6, 7, 7, 9, and 9. So, Median of the set is 6. [Median is the middle data value of the ordered set.]
Step 6: Mode is/are the data value(s) that appear most often in the data set. So, the modes of the data set are 4, 7 and 9.
Step 7: So, the measures of central tendency of the given set of data are mean = 6, median = 6 and modes are 4, 7, and 9.
Related Terms for Measures of Central Tendency
 Mean
 Average
 Median
 Mode
 Data  Reply With Quote