1. (10 Marks) Consider the following sample data set. 9.3, 11.7, 112, 13, 9.9, 124, 12, 11.3, 9.2, 12.7, 7.2
(a) [3 marks] Compute the mean and the standard deviation of the sample.
(6) [3 marks) Calculate the median and the first quartile.
(c) (4 marks) If this data set is from a normal distribution, how many observations
would you expect to lie within one standard deviation of the mean? Check whether
this expectation is met for this data set

207/8 is the right

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.