Friday, April 29, 2011

My Shot to the Class!!! "Measures of Centray Tendency"

        On the 25th day of April 2011, I gave my best shot in inculcating to my classmates the topic assigned to me. They cheerfully participated in the wake-up dance and gladly answered the personality check.

        After the quick intermezzo, the slides for the days topic, Measures of Central Tendency/Location started to appear on the screen. A active exchange of knowledge took place as my classmate interacts with me by answering the drills and exercises that I prepared. Because of this, I truly thank them.

Measures 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 =
    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
Correct Answer: A
Solution:
Step 1: Mean, median and mode of a data set are the measures of central tendency.
Step 2: Mean of the data set =                 [Formula.]
Step 3:                                 [Substitute the values.]
Step 4:                      [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.
Other References:

  PDF
DOC      teachers.henrico.k12.va.us/math/.../Documents/10-2/CentralTendency.doc


Youtube
Power Point     https://www.indiana.edu/.../PPTs/r561d3_measures_centrality.ppt

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