The average of first set of 6 numbers is 12, second set of 8 numbers is 14 and third set of 14 numbe

Bhimu withLove   13 years AGO

We know that
AM = N/n ---1*
where N is sum of all data(numbers),
N = AM*n ---2*
and sum of tree set of data will be
AM = (N1+N2+N3)/(n1+n2+n3) ---3*


given tree averages(mean) are

1) AM1 = 12, n1 = 6,
2) AM2 = 14, n2 = 8,
3) AM3 = 10, n3 = 14.

Now.
1) N1 = 12 * 6 = 72,
2) N2 = 14 * 8 = 112,
3) N3 = 10 * 14 = 140.

So, Average of all numbers is

AM = (N1+N2+N3)/(n1+n2+n3) = 324/28 = 11.57

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Rajeev Kumar   13 years AGO

6*12=72
8*14=112
14*10=140
72+112+140/28=11.57
option is 4.

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sabarish   13 years AGO

sum of first set 6 numbers is 12*6 = 72

sum of second set 8 numbers is 14*8 = 112

sum of third set 14 numbers is 14*10 = 140

total sum of 28 numbers is =(72+112+140) = 324

Average of 28 numbers is = 324/28 = 11.57

Like? Yes (2) | No   

Koushik Paul   13 years AGO

The sum of all numbers =(6*12)+(8*14)+(14*10)=324
The no. of the numbers=6+8+14=28
The avg. = (324/28)=11.57
So the right option is 4) 11.57

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Shubham   13 years AGO

(6*12 + 8*14 + 14*10)/(6+8+14)

Like? Yes (3) | No (2)  

susmit   13 years AGO

[(12*6)+(14*8)+(14*10)]/(6+8+10)=11.57

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~Sandeep~   13 years AGO

((6*12)+(8*14)+(14*10))/28 = 11.571 Option 4

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KALPANA G   13 years AGO

sum of first set=12*6=72
sum of second set=14*8=112
sum of third set=10*14=140
average of all the numbers=(72+112+140)/(6+8+14) = 324/28 = 11.57

Like? Yes (2) | No (1)  

Suresh Varma P   13 years AGO

Sum of all numbers from three sets = 72 + 112 + 140 = 324
Total numbers will be = 6 + 8 + 14 = 28

Average of all numbers = 324/28 = 11.57
Ans: option 4

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Narendra Reddy   13 years AGO

11.57
sum of 1st 6 nos=12*6=72
sum of2nd 8 nos=14*8=112
sum of2nd 14 nos=14*10=140
tot avg=(72+112+140)/28=11.57

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Swetha.R   13 years AGO

average of first 6 numbers =12
=>sum of first 6 numbers=12*6=72
average of second set of 8 numbers =14
=>sum of second set of 8 numbers=14*8=112
average of third set of 14 numbers =10
=>sum of third set of 14 numbers=10*14=140


From Given,
sum of all 28 numbers=72+112+140=324
therefore,average of all 28 numbers=324/28=11.57

Hence the solution is option 4.

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Lakshmi Paramasivan   13 years AGO

average/6=12,avg/8=14,avg/14=10, so sum of all numbers s 3324 ...averge s 324/28=11.57

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Mullaji Zubair Dawood   13 years AGO

total numbers=6+8+14=28
% of Each Series of nos. =21.43+28.57+50
Multiplying Each SEQUENCE avg. with Relevant %
=(0.2143*12)+(0.2857*14)+(0.5*10)
=2.57+4+5
=11.57 so Ans 4..

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rajendra   13 years AGO

avg=(6*12+8*14+14*10)/(6+8+14)=11.57

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renjith c g   13 years AGO

let average be x, y ,z
x/6=12;y/8=14;z/14=10;
so x=72;y=112;z=140;
so average of total= (x+y+z)/(6+8+14)=324/28= 11.57

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Gunaseelan   13 years AGO

Average= (6*12)+(8*14)+(14*10)/28
= 324/28
= 11.57

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Shatabhisa    13 years AGO

Sum of 6 nos.=6*12=72
Sum of 8 nos.=8*14=112
Sum of 14 nos.=14*10=140
The sum of 28 nos.=72+112+140=324
So the avg is =324/28=11.57

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ankit garg   13 years AGO

take first set to be consist of 12 6's
take second set to be consist of 14 8's
take third set to be consist of 10 14's

so 72+112+140=324

324/28=11.57

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Mayur Somatkar   13 years AGO

(6x12)+(8x14)+(14x10)=324

324/total of numbers.
i.e. 324/28=11.5712.

ANS.:- 11.57 (4)

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Sayantan Ghosh   13 years AGO

6*12=72
8*14=112
14*10=140
so total of 28 no.s is 324
average 324/28=11.57

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G.PHANIPAVAN   13 years AGO

(12*6)+8*14+14*10=324
average=sum of variables /no.of variables
=324/28

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CHIRRA SREEKER REDDY   13 years AGO

(6*12 + 8*14 + 14*10)/28=11.57

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sravani   13 years AGO

12*6=72
14*8=112
14*10=140
(72+112+140)/28=11.57

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Selva Narayanan A J   13 years AGO

First set total = 6*12 = 72
second Set Total = 8*14 = 112
Third Set Total = 140

So Total average = (72+112+140)/(6+8+14) = 324/28
= 11.57(Option 4)

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Bharathi   13 years AGO

(6*12)+(8*14)+(14*10)/(6+8+14)=11.57

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Sandeep Pandey   13 years AGO

AVERAGE(6) = 12 = (a1+a2+..+a6)/6
or a1+a2+...+a6 = 72
similarly for ;
AVERAGE (8) = 14
AVERAGE (14) = 10

so AVERAGE for all no is = (72+112+140)/28 = 11.571

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malli karjun   13 years AGO

numer avg total
first 6 12 (12*6)=72
second 8 14 (8*14)=112
third 14 10 (14*10)=140
------------------------------------
total 28 ? 324

then avg=324/28=11.57

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sivakumar   13 years AGO

the sum of all the numbers = (6*12)+(8*14)+(14*10)=324;
average is 324/(6+8+14) = 324/28=11.57;

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ANJALI TANEJA   13 years AGO

avg of all numbers set of 28 numbers= ((12*6)+(8*14)+(14*10))/28= 11.57 is the answer.

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SHILPA MOHANAN   13 years AGO

avg of first set=12 total of first set=12*6=72
avg of second set=14 total of second set=14*8=112
avg of third set=10 total of third set=10*14=140

grand total of (6+8+14)nos.=72+112+140=324
average of all nos.=324/(6+8+14)=11.57

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hina parveen   13 years AGO

12*6=72
8*14=112
14*10=140
avg=(72+112+140)/(6+8+14)=324/28=11.57

Like? Yes (1) | No