Column n Mean Variance Std. dev. Std. err. Median Range Min Max Q1 Q3 2015-2017
ID: 3061065 • Letter: C
Question
Column
n
Mean
Variance
Std. dev.
Std. err.
Median
Range
Min
Max
Q1
Q3
2015-2017 crime
60
642.41667
1011611.1
1005.7888
129.84678
253.5
4040
5
4045
98.5
640
Discuss the shape of each display and what information they reveal about the variable. Tell which is a better display for your data set and why. -----Write a few sentences describing what you have learned about the variable you choose to study and the population the data came from
Column
n
Mean
Variance
Std. dev.
Std. err.
Median
Range
Min
Max
Q1
Q3
2015-2017 crime
60
642.41667
1011611.1
1005.7888
129.84678
253.5
4040
5
4045
98.5
640
Explanation / Answer
From the data related to the sample given above, we can get some inferrences.
Firstly, we see that the mean is 642.41667 and the mean is 253.5 i.e. the mean is greater than the mean.
Hence, we may infer that the distribution is negetively skewed i.e. skewed to the right.
Secondly, as we can see that the variance is 1011611.1 i.e. the value of the variance is very high, we can infer that the sample points have a huge spread about the mean and the value of the range also says so.
Along with this, as the variance is too high as compared to the small sample size n = 60, the standard error is too high for the sample.
Thirdly, the value of Q3 is 640 where as the value of mean is 642.41667. From this we may infer that approximately 3/4 th of the sample lies under the mean value.
I hope this will be enough to have a clear picture about the distribution of the sampled units.
All the best !!!