If median and mean of some observations is 7 and 7.5
respectively. What is the mode?
Answers
Answer: 6
GIVEN: Median= 7 , Mean = 7.5
SOLUTION:
3median - 2mean = mode
(3 * 7) - (2 * 7.5) = mode
21 - 15 = mode
MODE = 6.
HOPE YOU UNDERSTAND.
The mode of the observations = 6
Given :
The median and mean of some observations is 7 and 7.5 respectively
To find :
The mode of the observations
Concept :
The relationship connecting three measures of central tendency is given by
3 × Median = 2 × Mean + Mode
Solution :
Step 1 of 2 :
Write down median and mode
Here it is given that for the given observations
Median = 7
Mean = 7.5
Step 2 of 2 :
Calculate mode of the observations
3 × Median = 2 × Mean + Mode
⇒ ( 3 × 7 ) = ( 2 × 7.5 ) + Mode
⇒ 21 = 15 + Mode
⇒ Mode = 21 - 15
⇒ Mode = 6
Hence mode of the observations = 6
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