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Mean deviation from the mean for the observations – 1, 0 ,4 is
  • a)
    2/3
  • b)
    3/2
  • c)
    2
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Mean deviation from the mean for the observations – 1, 0 ,4 isa)...
To calculate the mean deviation from the mean, follow these steps:
Step 1: Find the Mean
The observations are: 
−1,0,4.
The mean (xˉ ) is calculated as:

Step 2: Calculate the Absolute Deviations
Find the absolute differences between each observation and the mean:
∣−1−1∣=2,∣0−1∣=1,∣4−1∣=3
Step 3: Find the Mean Deviation
The mean deviation from the mean is:
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Most Upvoted Answer
Mean deviation from the mean for the observations – 1, 0 ,4 isa)...
To calculate the mean deviation from the mean for a set of observations, follow these steps:

1. Calculate the mean of the observations by adding all the values together and dividing by the total number of observations.

2. Subtract the mean from each individual observation to find the deviation from the mean.

3. Take the absolute value of each deviation to ensure that negative values do not cancel out positive values.

4. Add up all the absolute deviations.

5. Divide the sum of the absolute deviations by the total number of observations to find the mean deviation from the mean.

Here is an example:

Observations: 5, 7, 9, 12, 15

1. Mean = (5 + 7 + 9 + 12 + 15) / 5 = 9.6

2. Deviations from the mean: -4.6, -2.6, -0.6, 2.4, 5.4

3. Absolute deviations: 4.6, 2.6, 0.6, 2.4, 5.4

4. Sum of absolute deviations: 15.6

5. Mean deviation from the mean = 15.6 / 5 = 3.12

Therefore, the mean deviation from the mean for these observations is 3.12.
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Mean deviation from the mean for the observations – 1, 0 ,4 isa)2/3b)3/2c)2d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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