Measures of Central Tendency
ICSE · Class 10 · Mathematics
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Find the mean of the following data: 5, 8, 12, 15, 20
Find the median of: 3, 7, 11, 14, 18, 22, 25
Calculate the mean using direct method: Class intervals: 10-20, 20-30, 30-40 with frequencies 5, 8, 7 respectively.
Find the mode of the data: 2, 3, 5, 3, 7, 3, 8, 9
Sample Questions
Which methods can be used to calculate mean for grouped data?
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Direct method, Short-cut method, Step-deviation method
The three methods for calculating mean of grouped data are: 1) Direct method using Σfx/Σf, 2) Short-cut method using assumed mean, 3) Step-deviation method using class interval.
For the data 4, 6, 8, 10, what is the median?
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7
For 4 observations (even number), median = (2nd term + 3rd term)/2 = (6 + 8)/2 = 14/2 = 7.
In short-cut method for mean, if A = 25 and Σfd/Σf = 3, what is the mean?
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28
Using short-cut method: Mean = A + (Σfd/Σf) = 25 + 3 = 28, where A is assumed mean and d = x - A.
Calculate the mean of: 12, 15, 18, 21, 24
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18
Mean = (12 + 15 + 18 + 21 + 24)/5 = 90/5 = 18.
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