Q T1.15. - The Practice of Statistics for AP

Question

During the early part of the $1994$ baseball season, many fans and players noticed that the number of home runs being hit seemed unusually large. Here are the data on the number of home runs hit by American League and National League teams in the early part of the $1994$ season: 

Compare the distributions of home runs for the two leagues graphically and numerically. Write a few sentences summarizing your finding

Step-by-Step Solution

Answer

The distribution of home runs is depicted graphically as follows: 

American League (AL)		National League(NL)
	2	9
5	3	1
930	4	26788
88741	5	3555
884	6	337
75	7

Step 1: Given Information

Given: 

American language	35	40	43	49	51	54	57	58	58	64	68	68	68	75	77
National language	29	31	42	46	47	48	48	53	55	55	55	55	63	63	67

Step 2: Concept

Data analysis is the systematic application of statistical and/or logical tools to explain and show, condense and recap, and appraise data.

Step 3: Calculation

The following graph depicts the distribution of home runs for the two leagues: 

American League (AL)		National League(NL)
	2	9
5	3	1
930	4	26788
88741	5	3555
884	6	337
75	7

In $1994$, teams in the American League hit more home runs than those in the National League. To illustrate, the American league's median was $57.5$ whereas the national league's median was only $50.5$

Furthermore, the NL's low value ($29$ versus $35$) is far lower than the AL's, and the AL's high value is significantly greater than the NL's ( $77$ versus $67$ ).