The contents of 100 match boxes were checked to determine the number of matches they contained.
No. of matches 35 36 37 38 39 40 41
No. of match boxes 6 10 12 15 11 7 8

Calculate the mean number of matches per box

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Solution

The correct option is A 38
In order to determine the mean, we use the formula as below
$M e a n = \frac{x_{1} f_{1} + x_{2} f_{2} + x_{3} f_{3} + x_{4} f_{4} + x_{5} f_{5} + x_{6} f_{6} + x_{7} f_{7}}{f_{1} + f_{2} + f_{3} + f_{4} + f_{5} + f_{6} + f_{7}}$
$= \frac{(35 \times 6) + (36 \times 10) + (37 \times 12) + (38 \times 15) + (39 \times 11) + (40 \times 7) + (41 \times 8)}{6 + 10 + 12 + 15 + 11 + 7 + 8}$
$= \frac{210 + 360 + 444 + 570 + 429 + 280 + 328}{69} = 38$

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The contents of 100 match boxes were checked to determine the number of matches they contained.No. of matches35363738394041No. of match boxes61012151178Calculate the mean number of matches per box

The correct option is A 38In order to determine the mean, we use the formula as belowMean=x1f1+x2f2+x3f3+x4f4+x5f5+x6f6+x7f7f1+f2+f3+f4+f5+f6+f7=(35×6)+(36×10)+(37×12)+(38×15)+(39×11)+(40×7)+(41×8)6+10+12+15+11+7+8=210+360+444+570+429+280+32869=38

The contents of 100 match boxes were checked to determine the number of matches they contained.
No. of matches 35 36 37 38 39 40 41
No. of match boxes 6 10 12 15 11 7 8

Calculate the mean number of matches per box