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7. Statistics
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Q5 of 141 Page 7

The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below:



























Marks (x):



15



20



22



24



25



30



33



38



45



Frequency (f):



5



8



11



20



23



18



13



3



1



Find the average number of marks.

Let the assumed mean (A) = 25





































































Marks (xi)



Frequency (fi)



ui = xi – A = xi - 25



fiui



15



5



-10



-50



20



8



-5



-40



22



11



-3



-33



24



20



-1



-20



25



23



0



0



30



18



5



90



33



13



8



104



38



3



13



39



45



1



20



20




N = 102




∑fiui = 110



Average number of marks = A +


= 25 + =


= = 26.08 (approx)


More from this chapter

All 141 →
3

The following table gives the number of branches and number of plants in the garden of a school.



















No. of branches (x):



2



3



4



5



6



No. of plants (f):



49



43



57



38



13


4

The following table gives the number of children of 150 families in a village





















No. of children (x):



0



1



2



3



4



5



No. of families (f):



10



21



55



42



15



7



Find the average number of children per family.

6

The number of students absent in a class were recorded every day for 120 days and the information is given in the following frequency table:

























No. of students absent (x):



0



1



2



3



4



5



6



7



No. of days (f):



1



4



10



50



34



15



4



2



Find the mean number of students absent per day.

7

In the first proof reading of a book containing 300 pages the following distribution of misprints was obtained:





















No. of misprints per pages (x):



0



1



2



3



4



5



No. of pages (f):



154



95



36



9



5



1



Find the average number of misprints per page.

Questions · 141
7. Statistics
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