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Mathematics
24. Measures of Central Tendency
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Q8 of 79 Page 24

Find the value of p, if the mean of the following distribution is 20.



















x:



15



17



19



20+p



23



f :



2



3



4



5p



6







































X



f



fx



15



2



30



17



3



51



19



4



76



20 + p



5p



100p + 5p2



23



6



138




∑f = 15 + 5p



∑fx = 295 + 100p + 5p2



Mean, =


20 =


60 + 20p = 59 + 20p + p2


p2 – 1 = 0


p = 1


More from this chapter

All 79 →
6

Find the missing value of p, for the following distribution whose mean is 12.58.























x:



5



8



10



12



p



20



25



f :



2



5



8



22



7



4



2


7

Find the missing frequency (p) for the following distribution whose mean is 7.68.





















x:



3



5



7



9



11



13



f :



6



8



15



p



8



4


9

Find the mean of the following distribution.



















x:



10



12



20



25



35



f :



3



10



15



7



5


10

Candidates of four schools appear in a mathematics test. The data were as follows:













Schools



No. of Candidates



Average Score



I


II


III


IV



60


48


Not available


40



75


80


55


50



If the average score of the candidates of all the four school is 66, find the number of candidates that appeared from school III.

Questions · 79
24. Measures of Central Tendency
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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