If the man of the observation 14,18,15,a,19,15,12,15,16 is 16, find the unknown observation a.also find the midian and mode of the observation
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given,
mean=16
(14+18+15+a+19+15+12+15+16)/9=16
a+124=9x16=144
a=144--124=20
a=20
now, we have
12,14,15,15,15,16,18,19,20
since the total number of observation is odd number, and the middle term is 15
therefore the median is 15
since the term 15 is more,, therefore the mode is 15
mean=16
(14+18+15+a+19+15+12+15+16)/9=16
a+124=9x16=144
a=144--124=20
a=20
now, we have
12,14,15,15,15,16,18,19,20
since the total number of observation is odd number, and the middle term is 15
therefore the median is 15
since the term 15 is more,, therefore the mode is 15
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