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(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
More about Measures of Central Tendency
Examples of Measures of Central Tendency
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.
Related Terms for Measures of Central Tendency
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