ICSE Class 10CISCE
Share
Notifications

View all notifications

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

Login
Create free account


      Forgot password?

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

  Is there an error in this question or solution?

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.
S
View in app×