Question

The median and mode of the given data are 23 and 21 respectively. Find the mean of the data.​

Answer 1

Given

• Median of the data = 23 units
• Mode of the data = 21 units

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To find

• Mean of the data.

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Solution

• We have median and mode of the data and need to find the mean.

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Formula\: used}}}$

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$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Mode = 3Median - 2Mean{\bigstar}}}}$

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Here,

• Mode = 21
• Median = 23

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→ 21 = 3 × 23 - 2Mean

→ 2Mean = 69 - 21

→ 2Mean = 48

→ Mean = 48/2

→ Mean = 24

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Hence,

• Mean of the data is 24 units.

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