00:01
A data set has a mean of 20 and a standard deviation of 3.
00:04
The histogram is bell -shaped.
00:06
Is it appropriate to use the empirical rule to approximate the proportion of data between 14 and 26? so since they use the term bell -shaped, yes, it is appropriate to use the empirical rule.
00:19
And the approximation for 14 to 26, 14 is two standard deviations below the mean, and 26 is 2 standard deviations below the mean, and 26 is 2.
00:33
Standard deviations above the mean, and that corresponds to 95%.
00:41
Number two, a sample size of 200 has a sample mean of 50 and a sample standard deviation of 10.
00:47
The histogram is approximately bell -shaped.
00:50
Find an interval that is likely to contain approximately 68 % of the data values.
00:57
So 68 % corresponds to plus or minus one standard deviation.
01:03
So we're going to take 50 plus or minus 10.
01:08
Which means that we will go from 40 to 60.
01:14
Part b, approximately what percentage of the data values will be between 30 and 70.
01:20
So 30 and 70 are two standard deviations above and below, and that corresponds to 95%.
01:27
For number three, a data set has a mean of 50 and a standard deviation of 8.
01:33
A histogram is skewed right.
01:35
Is it appropriate to use the empirical rule? no.
01:39
In this case, it would not be appropriate because the distribution needs to be bell -shaped...