Question

Using descriptive statistics what does the following data tell you about major league base ball players at bat, home runs, number of hits, and number of runs scored?

# of At-Bats (AB)		# of Homeruns (HR)
Mean	530.84	Mean	19.54
Standard Error	12.78441	Standard Error	1.339878
Median	555.5	Median	20.5
Mode	611	Mode	21
Standard Deviation	90.39942	Standard Deviation	9.474369
Sample Variance	8172.056	Sample Variance	89.76367
Kurtosis	0.42278	Kurtosis	-0.52648
Skewness	-0.98219	Skewness	0.158021
Range	396	Range	39
Minimum	288	Minimum	1
Maximum	684	Maximum	40
Sum	26542	Sum	977
Count	50	Count	50
Confidence Level(95.0%)	25.69123	Confidence Level(95.0%)	2.692586
# of Hits (H)		# of Runs scored ®
Mean	154.04	Mean	78.34
Standard Error	3.819708	Standard Error	2.550488
Median	155	Median	79.5
Mode	155	Mode	87
Standard Deviation	27.00942	Standard Deviation	18.03467
Sample Variance	729.5086	Sample Variance	325.2494
Kurtosis	0.14269	Kurtosis	-0.19785
Skewness	-0.10742	Skewness	-0.2844
Range	127	Range	79
Minimum	98	Minimum	36
Maximum	225	Maximum	115
Sum	7702	Sum	3917
Count	50	Count	50
Confidence Level(95.0%)	7.675991	Confidence Level(95.0%)	5.125397

Answer 1

Solution:

Here, we have to analyze the data about major league base ball players by using the given descriptive statistics. From given descriptive statistics, it is observed that the average number of At-Bats (AB) is given as 530.84 with the standard deviation of 90.40. The maximum number of At-Bats is given as 684, while the minimum number of At-Bats is given as 288. The margin of error for number of At-Bats is given as 25.69. The average number of homeruns for the players is given as 19.54 with the standard deviation of 9.47. The maximum number of homeruns score is given as 40 while the minimum number of homeruns is given as 1. The margin of error for number of homeruns is given as 2.69. The average number of hits is given as 154.04 with the standard deviation of 27.01. The minimum number of hits is given as 98 while the maximum number of hits is given as 225. The margin of error for the number of hits is given as 7.68. The average number of runs scored is given as 78.34 with the standard deviation 18.03. The minimum number of runs scored is given as 36 while the maximum number of runs scored is given as 115. The margin of error for the number of runs scored is given as 5.13. All described margin of error given for the 95% confidence level.