CA Foundation Exam > CA Foundation Questions > The third decile for the numbers 15, 10, 20, ...
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The third decile for the numbers 15, 10, 20, 25, 18, 11, 9, 12 is
- a)13
- b)10.70
- c)11
- d)11.50
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The third decile for the numbers 15, 10, 20, 25, 18, 11, 9, 12 isa)13b...
Given data: 15, 10, 20, 25, 18, 11, 9, 12
To find: Third decile
Solution:
Step 1: Arrange the given data in ascending order
9, 10, 11, 12, 15, 18, 20, 25
Step 2: Calculate the total number of values
n = 8
Step 3: Calculate the index of the third decile
Index of third decile = 3/10 × n = 0.3 × 8 = 2.4
Step 4: Round off the index to the nearest integer
Rounding off 2.4 to the nearest integer, we get 2.
Step 5: Find the value corresponding to the rounded off index
The value corresponding to index 2 is 11.
Therefore, the third decile for the given data is 11.
Hence, option (b) 10.70 is incorrect.
To find: Third decile
Solution:
Step 1: Arrange the given data in ascending order
9, 10, 11, 12, 15, 18, 20, 25
Step 2: Calculate the total number of values
n = 8
Step 3: Calculate the index of the third decile
Index of third decile = 3/10 × n = 0.3 × 8 = 2.4
Step 4: Round off the index to the nearest integer
Rounding off 2.4 to the nearest integer, we get 2.
Step 5: Find the value corresponding to the rounded off index
The value corresponding to index 2 is 11.
Therefore, the third decile for the given data is 11.
Hence, option (b) 10.70 is incorrect.
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The third decile for the numbers 15, 10, 20, 25, 18, 11, 9, 12 isa)13b...
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The third decile for the numbers 15, 10, 20, 25, 18, 11, 9, 12 isa)13b)10.70c)11d)11.50Correct answer is option 'B'. Can you explain this answer?
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