You are going to select a sample of 20 numbers at random from a list of numbers from 30 to 70.Here are various options of how you may choose to do so:

One Way: To do so first create two-column table in excel which looks like the following table below.Under the first column list numbers from 31 to 70.In the second column type in =RAND().When you press enter, a random number between 0 and 1 will appear.Next you need to arrange the numbers based on the random generator.To do that, first select the entire table including the heading, then click on AZ sort and filter and custom sort on the Random Gen Column.Take the first 20 numbers selected from that sort as your sample of 20.Ignore the generator numbers as once you perform a sort, the generator will automatically generate new numbers.

No. Random Gen

31 0.516854799

32 =rand()

33

34

You will only need your 20 selected numbers (note you are not selecting the random number generator so you would select a number like 35 or 45 or 70 and not the .1245 used to order the number).

Way 2: You can also use your calculator to generate the twenty numbers as well. With a TI 83 press MATH, move over to probability and then 5(randInt), then press enter then 30,70) then enter.Do that 20 times.If you get a number that you have already just repeat until you get another number that is not in your sample.

Way 3: Put numbers 30 to 70 in a hat and pull 20.

For those 20 unique numbers calculate mean, median, range, variance and standard deviation.Please show all necessary working

What percentage of the data is within 1 standard deviation from the mean?Do not use the empirical rule rather, use your actual mean and standard deviation.

Please show working to obtain full marks.

Represent your 20 numbers in a stem and leaf plot.

For this question you will need a pack of skittles or chocolate mandm's.Be sure to use a pack that has at least 30 items in it.Sort your pack by color.

Draw a relative frequency table to show the contents of your pack.

Use your information to draw a bar graph.

Use one other appropriate diagram to represent the contents of your pack. You will need two diagrams and a table for this question.Use excel then you can copy and paste to your word document.Be sure that all diagrams are appropriately labelled.

Consider a sample with these x data values 25,24, 27, 33, and 41.Using the sample to evaluate each of the following taking care to use order off operation:

x,

x^2 ,

(x-15),

(x-15)^2,

x^2 -15

You are given the following particulars of a sample: n = 5, x = 120 and x2 = 3468

What is the mean

What is the variance

What is the standard deviation

Suppose the particulars were for a population instead of a sample, explain clearly if all or any of the mean, variance and standard deviation would change and why