Answer:a
a
[tex]m = 57.5[/tex]
b
[tex]\= x = 50.14[/tex]
Step-by-step explanation:
From the question we told that
The stem plots for American League is
[tex]2\\3\ \ \ \ \ 5\\4 \ \ \ \ \ 0\ 3 \ 9\\5 \ \ \ \ \ 1\ 4\ 7\ 8\ 8\\6 \ \ \ \ \ 4\ 8\ 8\\7 \ \ \ \ \ 5\ 7[/tex]
Here the first column is the tens while each digit in the in the second column is the unit of the first column
For example row 3 means
40 , 43, 49
The sample size is n = 14
Generally the median is mathematically represented as
[tex]m = \frac{ K + Z}{2}[/tex]
Here K is the [tex](\frac{n}{2}) th \ term \ in \ the \ data \ given[/tex] i.e [tex]\frac{14}{2} = 7th \ term[/tex]
From the stem plot the 7th term is 57
And
K is the [tex](\frac{n}{2} + 1) th \ term \ in \ the \ data \ given[/tex] i.e [tex]\frac{14}{2} + 1 = 8th \ term[/tex]
From the stem plot the 8th term is 58
Thus the median is
[tex]m = \frac{ 57 + 58}{2}[/tex]
=> [tex]m = 57.5[/tex]
The stem plots for National League is
[tex]2\ \ \ 9\\3\ \ \ \ 1\\4 \ \ \ \ 2\ 6\ 7\ 8\ 8\\5 \ \ \ \ 3\ 5\ 5\ 5\\6 \ \ \ \ 3\ 3\ 7\\7\\[/tex]
Generally the mean is mathematically evaluated as
[tex]\= x = \frac{\sum x_i}{n}[/tex]
[tex]\= x = \frac{29 + 31 + 42 + 46 + 47 + 48 + 48 + 53 + 55+ 55+ 55+ 63+ 63+ 67}{14}[/tex]
[tex]\= x = 50.14[/tex]
