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Mean deviation of observations 3,5,9,1 and 2 about their median is?
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Mean deviation of observations 3,5,9,1 and 2 about their median is?
Step 1: Find the Median
To calculate the mean deviation about the median, we first need to find the median of the observations.
- Ordered Data: 1, 2, 3, 5, 9
- Median Calculation:
- Since there are 5 observations (odd number), the median is the middle value.
- Median = 3
Step 2: Calculate Mean Deviation
Next, we calculate the mean deviation about the median.
- Deviation from Median:
- |1 - 3| = 2
- |2 - 3| = 1
- |3 - 3| = 0
- |5 - 3| = 2
- |9 - 3| = 6
- List of Deviations: 2, 1, 0, 2, 6
Step 3: Calculate the Mean of Deviations
Now, we find the mean of these absolute deviations.
- Sum of Deviations:
- 2 + 1 + 0 + 2 + 6 = 11
- Mean Deviation Calculation:
- Mean Deviation = Total Deviations / Number of Observations
- Mean Deviation = 11 / 5 = 2.2
Final Result
The mean deviation of the observations 3, 5, 9, 1, and 2 about their median is 2.2.
This measure indicates how much the data values deviate from the median on average, providing insight into the spread of the dataset.
To calculate the mean deviation about the median, we first need to find the median of the observations.
- Ordered Data: 1, 2, 3, 5, 9
- Median Calculation:
- Since there are 5 observations (odd number), the median is the middle value.
- Median = 3
Step 2: Calculate Mean Deviation
Next, we calculate the mean deviation about the median.
- Deviation from Median:
- |1 - 3| = 2
- |2 - 3| = 1
- |3 - 3| = 0
- |5 - 3| = 2
- |9 - 3| = 6
- List of Deviations: 2, 1, 0, 2, 6
Step 3: Calculate the Mean of Deviations
Now, we find the mean of these absolute deviations.
- Sum of Deviations:
- 2 + 1 + 0 + 2 + 6 = 11
- Mean Deviation Calculation:
- Mean Deviation = Total Deviations / Number of Observations
- Mean Deviation = 11 / 5 = 2.2
Final Result
The mean deviation of the observations 3, 5, 9, 1, and 2 about their median is 2.2.
This measure indicates how much the data values deviate from the median on average, providing insight into the spread of the dataset.
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Mean deviation of observations 3,5,9,1 and 2 about their median is?
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Mean deviation of observations 3,5,9,1 and 2 about their median is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Mean deviation of observations 3,5,9,1 and 2 about their median is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mean deviation of observations 3,5,9,1 and 2 about their median is?.
Mean deviation of observations 3,5,9,1 and 2 about their median is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Mean deviation of observations 3,5,9,1 and 2 about their median is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mean deviation of observations 3,5,9,1 and 2 about their median is?.
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