00:01
This question is about z scores.
00:03
So a z score tells you how many standard deviations away from a mean a value is.
00:11
How many sigmas away from mu? you can calculate it by taking your value, subtracting the mean, and dividing by the standard deviation.
00:24
So for part a, we have the information here.
00:27
Let's get z.
00:29
So we have 83 for x.
00:32
Mu is 46 and sigma is 11.
00:40
So 83 minus 46 is 37, divide that by 11, we get 3 .364.
00:53
Is that an outlier? well, what makes something an outlier? well, we define things as unusual or outliers if they are more than two standard deviations away from mean.
01:06
So unusual means the absolute value of the z -sor.
01:10
Score is at least two.
01:12
So yes, this is unusual.
01:18
Upbeat.
01:20
So we have our information.
01:22
Let's get our z score.
01:25
577 minus 732 divided by 64.
01:33
Let's some space here...