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प्रश्न
If the ratio of mode and median of a certain data is 6 : 5, then find the ratio of its mean and median.
उत्तर
Given that the ratio of mode and median of a certain data is 6:5. That is,
MODE : MEDIAN = 6.5
`⇒ (MODE )/(MEDIAN )= 6/5`
`⇒ 5 xx MODE = 6 xx MEDIAN`
`⇒MODE = 6/5 MEDIAN`
We know that
`MODE xx 3 xx MEDIAN -2 xx MEAN`
`⇒6/5 MEDIAN = 3 xx MEDIAN - 2 xx MEAN`
` ⇒ 2 xx MEAN = (3-6/5) MEAN `
`⇒ 2 xx MEAN = 9/5 MEDIAN`
`⇒ 2 MEAN = 9/10 MEDIAN`
`⇒ (MEAN)/(MEDIAN) = 9/10`
`⇒ MEAN : MEDIAN = 9:10`
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