Question

Find the mode of data whose mean & median are 20 & 30 respectively​

Answer 1

Question:

Find the mode of data whose mean and median are 20 and 30 respectively.

Given:-

Mean= $20$

Median= $30$

To Find:-

Mode of the Data

Explanation:

Here, we have been given Mean and median of the data. We have to find the Mode. We know that there is a relationship between Mode, Median and Mean. That is , $Mode=3(Median)-2(Mean)$

$\: \: \: \: \:$ Substitute Value of Mean and Median to get Mode

Solution:-

$\implies$ $Mode=3(Median)-2(Mean)$

$\implies$ $Mode=3(30)-2(20)$

$\implies$ $Mode=90-40$

$\implies$ $\boxed{Mode=50}$

Formula used:

$\underline\color{purple}\boxed{Mode=3(Median)-2(Mean)}$

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More to Know:-

-The formula that states the Relationship between Mean, Mode and Median is called Empirical Formula

Answer 2

Step-by-step explanation:

Here, we have been given Mean and median of the data. We have to find the Mode. We know that there is a relationship between Mode, Median and Mean. That is , Mode=3(Median)-2(Mean) Mode=3(Median)−2(Mean)

Substitute Value of Mean and Median to get Mode

Solution:-

⟹ Mode=3(Median)-2(Mean) Mode=3(Median)−2(Mean)

⟹ Mode=3(30)-2(20) Mode=3(30)−2(20)

⟹ Mode=90-40 Mode=90−40

⟹ {Mode=50}

Mode=50

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