Mode and mean of a data are 12kand 15k. Median of the data isa)12kb)14kc)15kd)16kCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Here's the solution to your question:

If two values are given in the below formula than we can use the formula if one is given than we cannot use the formula

3median = 2mean+mode

3median = 2(15k)+12k

3median = 30k+12k

3median = 42k

median = 42k/3

median = 14k

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Answer

Answer

The Mode and Mean of a Data
The mode and mean are measures of central tendency used in statistics to describe a set of data. The mode is the value that appears most frequently in a dataset, while the mean is the average of all the values in the dataset.

Given Information:
- Mode = 12k
- Mean = 15k

Finding the Median:
To find the median in a dataset, we arrange the values in ascending or descending order and then locate the middle value. If there is an even number of values, the median is the average of the two middle values.

Explanation:
We are given that the mode of the data is 12k, which means that the value 12k appears most frequently in the dataset. However, the mode does not provide any information about the other values in the dataset.

The mean of the data is given as 15k, which is the average value of all the values in the dataset. Since the mean is greater than the mode, it suggests that there are some higher values in the dataset that are pulling the average up.

Now, let's consider the median. Since the mode is 12k, it is likely that the dataset has a significant number of values around 12k. If the median were greater than 12k, it would suggest that there are higher values in the dataset, which would contradict the mode. Therefore, the median is likely to be closer to the mode.

The correct answer is option B: 14k. This value is between the mode of 12k and the mean of 15k, suggesting that it is a reasonable estimate for the median of the dataset.

In summary, based on the given information, the most appropriate estimate for the median of the data is 14k.

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