The mean, median and mode respectively of the numbers $7, 4, 3, 5, 6, 3, 3, 2, 4, 3, 4, 3, 3, 4, 4, 3, 2, 2, 4, 3, 5, 4, 3, 4, 3, 4, 3, 1, 2, 3$ are __________.

3.47, 3, 3

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3, 3, 3

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4, 3, 3

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5, 4, 3

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Solution

The correct option is B $3.47, 3, 3$
Sum of numbers $= 7 + 4 + 3 + 5 + 6 + 3 + 3 + 2 + 4 + 3 + 4 + 3 + 3 + 4 + 4 + 3 + 2 + 2 + 4 + 3$
$+ 5 + 4 + 3 + 4 + 3 + 4 + 3 + 1 + 2 + 3$
$= 104$
Total numbers are $30$
$mean = \frac{104}{30} = 3.46667 = 3.47$
The mode is the number which appeared most.
Therefore, $mode = 3$
For median arrange the numbers in ascending order:
$1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7$
Median $= \frac{(15^{t h} + 16^{t h}) term}{2}$
$= \frac{3 + 3}{2} = 3$

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