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Byju's Answer

Standard VIII

Mathematics

Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

If three sets...

Question

If three sets of data had means of $15, 22.5$ and $24$ based on $6, 4,$ and $5$ observations respectively, then the mean of these three sets combined is

20.0

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20.5

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22.5

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24.0

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Solution

The correct option is A $20.0$
Mean of combined three sets $= \frac{T o t a l S u m}{T o t a l C o u n t}$
$= \frac{15 \times 6 + 22.5 \times 4 + 24 \times 5}{6 + 4 + 5}$
$= \frac{300}{15}$
$= 20$

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If three sets of data had means of 15,22.5 and 24 based on 6,4, and 5 observations respectively, then the mean of these three sets combined is

The correct option is A 20.0Mean of combined three sets =Total SumTotal Count=15×6+22.5×4+24×56+4+5=30015=20

If three sets of data had means of $15, 22.5$ and $24$ based on $6, 4,$ and $5$ observations respectively, then the mean of these three sets combined is

The correct option is A $20.0$
Mean of combined three sets $= \frac{T o t a l S u m}{T o t a l C o u n t}$
$= \frac{15 \times 6 + 22.5 \times 4 + 24 \times 5}{6 + 4 + 5}$
$= \frac{300}{15}$
$= 20$