The following data represents a sample of unused vacation...

The following data, represents a sample of unused vacation days during a year for employees at a company. Approximate (2 decimal place) the sample standard deviation of unused vacation days at the end of the year. HINT: you will need to find the midpoint of each class! days frequency midpoint 1-3 3 4-6 10 7-9 20 10-12 15 13-15 7

Transcript

00:01 Hello students we are going to write here sample of unused vacation days is given we are going to write here sample standard aviation we are going to approximate sample standard aviation and midpoint so if i write here for this this must be so first we are going to rewrite our table so we are writing here midpoint is this must be written as upper limit plus lower limit so let's say this is lower limit and this is upper limit and this is upper limit so lower limit plus upper limit divided by 2.

00:34 So we are going to write here 3 plus 1 is equivalent to 3 plus 1 4 divided by 2 which is 2.

00:41 So this must be xi and this is 4 plus 6 divided by 2.

00:47 This is 5 and this is we are going to write here for this.

00:51 This must be so there it must be 5.

00:57 Now this must be 8 and we are going to write here for this this.

01:01 Must be 11 and we are going to write here this is 14 so now if i write here for this we are going to calculate sample standard deviation so let's extend this table to make it more clear so if i write here for this this must be draw something like this and this must also be connected this is also connected and and we are going to connect this to and this must also be connected now let's partition this so we are writing here this must be f so this must be f so f x and this is f of x square so this is six this is 50 this is 160 and this must be 16598 we are going to write here for this then this is 12 now this is 250 250 and this is 12 80 and we are going to write here 18 15 and finally 1372 summation of fx this will be 4 and summation of we are going to write here f of x square is 4 7 to 9 so we are going to write here for this so this must be further we are going to find first our mean value that is summation of f x divided by submission of f which is 479 divided by 5 5 so we are going to find 5 so we are going to to write here 8 .7.

03:00 So let's read this to make it more clear 8 .70.

03:05 We are going to write here for this 8 .7091.

03:11 And we are writing here variance value...

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