00:01
Okay, so i see that you need help with this question, and it says a financial service call center monitors call duration, which is the amount of time spent speaking to customers on the phone.
00:09
The data set contains the following data for time in seconds spent by agents talking to 50 customers.
00:17
So it wants you to compute the mean, median, range, and standard deviation for the call duration, which is the amount of time spent speaking to customers on the phone.
00:26
Own.
00:27
Interpret these measures of central tendency and variability.
00:31
So first of all, in order to do this, you need to put the numbers in order from least to greatest.
00:39
Okay.
00:39
So i took all of the numbers, put them in order from least to greatest.
00:43
There are a total of 50 numbers.
00:47
And when you total up all of the numbers, you are going to get a sum.
00:54
And so the sum of all of the values is going to be 11 ,639.
01:04
Then what you're going to do is you're going to take that value and you're going to divide it by 50 and you are going to get a mean of 232 .78.
01:14
I rounded to the nearest tenths place.
01:17
I'm sorry, hundredths place.
01:19
Then the median, that is the middle number, you are going to get 228.
01:27
The range, you're going to take the smallest number, subtract from the, i'm sorry, the smallest number from the largest number, and the range is going to be 1 ,076.
01:44
For the standard deviation, you have to take the difference from each one of your values and the mean, square them, add them together.
01:53
So you're going to get a sum of your squares is going to be, so sum of squares is going to be 1, 2, 3, 3, 8, 9, 0 .58.
02:09
Eight.
02:09
Then you're going to, so sum of squares, you're going to then divide that by the 50 minus one, because this is a sample of the data set.
02:25
So it's going to do, divide that by 49, and you are going to get a variance of 2 ,5181 .44.
02:41
Then you're going to find the square root of that and that's going to be your standard deviation of 158 .69.
02:51
So then it wants you to list the five number summary.
02:54
Five number summary is your minimum, your quartile one, median, quartile 2, and your maximum...