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The median for a moderately asymmetrical series having mode and mean as 125 km and 130.7 km respectively is:
1. 129.7 m
2. 128.8 m
3. 124.8 m
4. 127.8 km

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Correct Answer - Option 2 : 128.8 m

Given:

Mean = 130.7 km and Mode = 125 km

 

  • Mean is the average of the data set which is calculated by adding all the data values together and dividing it by the total number of data sets.
  • Median is the middle value among the observed set of values and is calculated by arranging the values in ascending order or in descending order and then choosing the middle value.
  • Mode is the number from a data set that has the highest frequency and is calculated by counting the number of times each data value occurs.

Concept:

The empirical mean median mode relation is given as:

Mode = 3.Median - 2.Mean      ----(1)

Calculation:

We have 

Median = (Mode + 2.Mean)/3      [using (1)]

⇒ Median = (125 + 2 × 130.7)/3

⇒ Median = 128.8 km

Hence, The median for a moderately asymmetrical series having mode and mean as 125 km and 130.7 km respectively is 128.8 km.

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