.If mean = 75 and median = 60 for a grouped frequency distribution, then find
the value of mode.
Answers
Step-by-step explanation:
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The mode of the grouped frequency distribution = 30
Given :
The mean = 75 and median = 60 for a grouped frequency distribution
To find :
The mode of the grouped frequency distribution
Concept :
The relationship connecting three measures of central tendency is given by
3 × Median = 2 × Mean + Mode
Solution :
Step 1 of 2 :
Write down mean and median
Here it is given that for the given grouped frequency distribution
Mean = 75
Median = 60
Step 2 of 2 :
Calculate mode of the grouped frequency distribution
3 × Median = 2 × Mean + Mode
⇒ ( 3 × 60 ) = ( 2 × 75 ) + Mode
⇒ 180 = 150 + Mode
⇒ Mode = 180 - 150
⇒ Mode = 30
Hence mode of the grouped frequency distribution = 30
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