Punjab Curriculum & Textbook Board
Class 8th : Math
Information Handling
Exercise 10.2
Problem: 1(i)
Compute the Mean, Median and Mode of the following data:
10, 8, 6, 0, 8, 3, 2, 5, 8, 4
Above data is Un-Grouped Data.
Mean:
Formula:
Average Mean =
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Sum of all values
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Number of values
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X =
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∑x
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N
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Sum of values = ∑x = 54
Number of values = N = 10
Putting the values in formula:
Average Mean =
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54
|
|
10
|
|
Answer:
Average Mean = 5.4
Median:
First arrange the values in descending order
0, 2, 3, 4, 5, 6, 8, 8, 8, 10
N = 10 is even number so,
Find the values at position
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N
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and
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N
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+1
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2
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2
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Find the values at position
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10
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and
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10
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+1
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2
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2
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|||
|
|
|
|
|
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5
|
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5
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+1 = 6
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So, 5th and 6th value of arranged data is 5, 6
Sum of 5 + 6 = 11
Median =
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11
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2
|
Answer:
Median = 5.5
Mode:
Most frequently occurring value is called Mode; 8 occurs three time in
above data. So,
Answer:
Mode = 8