Re: O'level Maths, Addmaths and Statistics help available he
i did it this way.......
let 230$ b d total fee of 1 student
so, 230 = 20 +30n
where n represents d no of subjects.by solving this equation we get n = 7
now, increase in fee = (25-20) + 7(35-30)
= 5 + 7(5) = 40
therefore, new mean = 230 + 40 = $270
since addition doesnt affect sd, rise in basic fee doesnt change d sd. however change in subject fee does cz u multiply d fee with d no. of subjects.
new sd = 90 x 35(7)/30(7)
solve n ul get $105
doctormani said:Statx ques :
7 (a) A school wished to estimate its examination costs per candidate for the coming year using the
previous year’s fees.
For each candidate there was a basic fee of $20 plus an additional fee of $30 for each subject
taken by that candidate. Using these figures, the school estimated that the cost per candidate
would have a mean of $230 and a standard deviation of $90.
However, before the entries were made, the fees had been increased to $25 per candidate
and $35 per subject.
Calculate the actual mean and standard deviation of the cost per candidate which the school
will have to pay for its examination entries in the coming year.
i did it this way.......
let 230$ b d total fee of 1 student
so, 230 = 20 +30n
where n represents d no of subjects.by solving this equation we get n = 7
now, increase in fee = (25-20) + 7(35-30)
= 5 + 7(5) = 40
therefore, new mean = 230 + 40 = $270
since addition doesnt affect sd, rise in basic fee doesnt change d sd. however change in subject fee does cz u multiply d fee with d no. of subjects.
new sd = 90 x 35(7)/30(7)
solve n ul get $105