Question

If x is 48, Median is 47, Mode value will be?
a. 44 b. 50 c. 45 d. 49​

Answer 1

Answer:

mode=3median-2mean

=3×47-2×48

141-96

45

c.45

Answer 2

In statistics for a slightly skewed distribution, there is a relationship between the mean, median, and mode. This relationship of mean median and mode is known as the "empirical relationship", which is defined as Mode equals the difference between 3 times the median and 2 times the mean. This relationship has been discussed in detail below.

To remind,

• The mean is the average of a data set, which is calculated by adding all data values ​​together and dividing by the total number of data sets.
• The median is the middle value among an observed set of values ​​and is calculated by arranging the values ​​in ascending or descending order and then selecting the middle value.
• The mode is the number from the data set that has the highest frequency and is calculated by counting the number of times each data value occurs.

Empirical relationship between mean, median, and mode

In the case of a slightly skewed distribution, the difference between the mean and the mode is almost equal to three times the difference between the mean and the median. Thus, the empirical mean median mode is given by:

Mode = 3 (Mean - Median)

Or

Mode = 3 Median – 2 Mean

Let mode be x

mode=3median-2mean

$x= 3*47-2*48\\x=141-96\\x=45$

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