The mean of 19 observations is 4. If one more observation of 24 is added to the data, the new mean will bea)4b)5c)6d)7Correct answer is option 'B'. Can you explain this answer?

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The mean of 19 observations is 4. If one more observation of 24 is added to the data, the new mean will be

a)
4
b)
5
c)
6
d)
7

Correct answer is option 'B'. Can you explain this answer?

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Most Upvoted Answer

The mean of 19 observations is 4. If one more observation of 24 is add...

The mean of 19 observations is 4.

New data when 24 is added:
76 + 24 = 100
New number of observations = 19 + 1 = 20

Answered by Wizius Careers · View profile

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The mean of 19 observations is 4. If one more observation of 24 is add...

Given:
- Mean of 19 observations = 4
- One more observation of 24 is added to the data

To find:
- The new mean after adding the 24th observation

Solution:

Step 1: Finding the sum of the 19 observations
- Mean = Sum of observations / Number of observations
- Sum of observations = Mean * Number of observations
- Sum of observations = 4 * 19
- Sum of observations = 76

Step 2: Finding the sum of the 20 observations (including the 24)
- Sum of 20 observations = Sum of 19 observations + 24
- Sum of 20 observations = 76 + 24
- Sum of 20 observations = 100

Step 3: Finding the new mean after adding the 24th observation
- New mean = Sum of observations / Number of observations
- New mean = Sum of 20 observations / 20
- New mean = 100 / 20
- New mean = 5

Conclusion:
- After adding the 24th observation, the new mean will be 5.
- Therefore, the correct answer is option 'B'.

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