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For a certain frequency distribution, the values of Mean and Mode are 54.6 and 54 respectively. Find the value of median.
  • a)
    54.1
  • b)
    54.2
  • c)
    54.3
  • d)
    54.4
Correct answer is option 'D'. Can you explain this answer?
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For a certain frequency distribution, the values of Mean and Mode are ...
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Most Upvoted Answer
For a certain frequency distribution, the values of Mean and Mode are ...
Use this formula
mean - mode = 3mean- 3 median
then
median= (2mean+mode)÷3
= (2×54.6+54)÷3
= 54.4
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Community Answer
For a certain frequency distribution, the values of Mean and Mode are ...
Given:
- Mean = 54.6
- Mode = 54

To find:
- Value of median

Solution:

Mean:
The mean is the average of all the values in the frequency distribution. It is calculated by dividing the sum of all the values by the total number of values.

Mean = Sum of all values / Total number of values

Here, the mean is given as 54.6.

Mode:
The mode is the value that appears most frequently in the frequency distribution. In this case, the mode is given as 54.

Median:
The median is the middle value in the frequency distribution when the values are arranged in ascending order.

To find the median, we need to know the total number of values in the frequency distribution. However, this information is not given in the question.

Since the mode is given as 54, it implies that 54 appears more frequently than any other value. This suggests that 54 is the middle value in the distribution, making it the median.

Therefore, the value of the median is 54.

Conclusion:
The value of the median is 54. Thus, the correct answer is option 'D' (54.4).
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For a certain frequency distribution, the values of Mean and Mode are 54.6 and 54 respectively. Find the value of median.a)54.1b)54.2c)54.3d)54.4Correct answer is option 'D'. Can you explain this answer?
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