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# The Content of 100 Match Boxes Were Checked to Detemine the Number of Matches They Contained . - ICSE Class 10 - Mathematics

ConceptMeasures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data

#### Question

The content of 100 match  boxes were  checked to detemine the number of matches they contained .

 no of matches 35 36 37 38 39 40 41 no of boxes 6 10 18 25 21 12 8

(1) Calculate, correct to one decimal place, the means number of matches per box .

(2) Determine how many extra matches would have to be added to the the total contents of the total content of the 100 boxes to bring the mean up to exactly 39 matches.

#### Solution

 No of matches (x) No.of boxes (F) fx 35 6 210 36 10 360 37 18 666 38 25 950 39 21 819 40 12 480 41 8 328 Total 100 3813

(1)barx=(∑ fx )/(∑f)=3813/100=38.13

(2) In the second case ,

New mean = 39 matches

Total contents =39 x 100 = 3900

But total number of matches already give = 3813

Number of new matches to be added = 3900 - 3813 = 87

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#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2019-20) (2020 to Current)
Chapter 24: Measure of Central Tendency(Mean, Median, Quartiles and Mode)
24A | Q: 11
Solution The Content of 100 Match Boxes Were Checked to Detemine the Number of Matches They Contained . Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.
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