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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Numbers : 637 144 821 179 180 152 435 881 500 569 88 444 705 982 359
 alt="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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