a) Calculate the mean y and the standard deviation o, of the given 15 numbers (4). b) Using the following equation and the calculated mean yand standard deviation op, calculate each f(4) value that corresponds to each . 1 f(+)= V2n c) Plot the distribution as an against f(4) graph.

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Numbers : 637 144 821 179 180 152 435 881 500 569 88 444 705 982 359

a) Calculate the mean 4 and the standard deviation o, of the given 15 numbers (4).
b) Using the following equation and the calculated mean uy and standard deviation op, calculate
each f() value that corresponds to each o.
-(4-+)7/20%
1
f(+)=
V2n
c) Plot the distribution as an o against f(4) graph.
n this way, you have generated your own normal distribution data f(4), using which, you will do all
ie following normal distribution calculations. Hint: your variable is now f(4) and you need to make all
le rest of the calculations using this variable.)
d) Calculate the mean u and the standard deviation o of the f(4) data you generated.
Subsequently, calculate the standardized variable z for each f(4) value using the equation on
e) Find the probabilities corresponding to each z value using the probability distribution function
(normal distribution) table
f) Plot the probabilites obtained from the table against f(4) to form a normal probability paper
plot. Plot a trendline to more clearly see the linearity.
8) From the normal probability paper plot you obtained, again find the mean and the standard
deviation of the f(ộ) data,
h) Calculate the skewness coefficient of the f(4) data.
|
Transcribed Image Text:a) Calculate the mean 4 and the standard deviation o, of the given 15 numbers (4). b) Using the following equation and the calculated mean uy and standard deviation op, calculate each f() value that corresponds to each o. -(4-+)7/20% 1 f(+)= V2n c) Plot the distribution as an o against f(4) graph. n this way, you have generated your own normal distribution data f(4), using which, you will do all ie following normal distribution calculations. Hint: your variable is now f(4) and you need to make all le rest of the calculations using this variable.) d) Calculate the mean u and the standard deviation o of the f(4) data you generated. Subsequently, calculate the standardized variable z for each f(4) value using the equation on e) Find the probabilities corresponding to each z value using the probability distribution function (normal distribution) table f) Plot the probabilites obtained from the table against f(4) to form a normal probability paper plot. Plot a trendline to more clearly see the linearity. 8) From the normal probability paper plot you obtained, again find the mean and the standard deviation of the f(ộ) data, h) Calculate the skewness coefficient of the f(4) data. |
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