A minor league hockey team had the following scores for the start of the season for the start of the season 3,6,2,1,2,3,0,4,5,1,
PolarNik [594]
ANSWER
The mean will be the most affected.
EXPLANATION
Given;
![3,6,2,1,2,3,0,4,5,1,5,4](https://tex.z-dn.net/?f=3%2C6%2C2%2C1%2C2%2C3%2C0%2C4%2C5%2C1%2C5%2C4)
Initially, the mean, median and mode is calculated thus;
![\begin{gathered} mean=\frac{3+6+2+1+2+3+0+4+5+1+5+4}{12} \\ =\frac{36}{12} \\ =3 \\ mode=1,2,3,5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20mean%3D%5Cfrac%7B3%2B6%2B2%2B1%2B2%2B3%2B0%2B4%2B5%2B1%2B5%2B4%7D%7B12%7D%20%5C%5C%20%3D%5Cfrac%7B36%7D%7B12%7D%20%5C%5C%20%3D3%20%5C%5C%20mode%3D1%2C2%2C3%2C5%20%5Cend%7Bgathered%7D)
To calculate the median, we need to re-arrange in ascending order. Hence;
![\begin{gathered} 0,1,1,2,2,3,3,4,4,5,5,6. \\ median=\frac{(3+3)}{2} \\ =\frac{6}{2}=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%200%2C1%2C1%2C2%2C2%2C3%2C3%2C4%2C4%2C5%2C5%2C6.%20%5C%5C%20median%3D%5Cfrac%7B%283%2B3%29%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B6%7D%7B2%7D%3D3%20%5Cend%7Bgathered%7D)
After adding 9;
The new data is;
![0,1,1,2,2,3,3,4,4,5,5,6,9](https://tex.z-dn.net/?f=0%2C1%2C1%2C2%2C2%2C3%2C3%2C4%2C4%2C5%2C5%2C6%2C9)
The new mean is;
![\begin{gathered} mean=\frac{3+6+2+1+2+3+0+4+5+1+5+4+9}{13} \\ =3.46 \\ Mode=3 \\ median=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20mean%3D%5Cfrac%7B3%2B6%2B2%2B1%2B2%2B3%2B0%2B4%2B5%2B1%2B5%2B4%2B9%7D%7B13%7D%20%5C%5C%20%3D3.46%20%5C%5C%20Mode%3D3%20%5C%5C%20median%3D3%20%5Cend%7Bgathered%7D)
The mean will be the most affected.
<h3><u>Question</u><u>:</u></h3>
<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. If the sum of the digits of the original number is 13, then find the number. </u>
<h3><u>Statement</u><u>:</u></h3>
<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. </u><u>T</u><u>he sum of the digits of the original number is 13</u><u>.</u>
<h3><u>Solution:</u></h3>
- Let one of the digit of the original number be x.
- So, the other digit = (13-x)
- Therefore, the two digit number = 10(13-x) + x = 130-10x+x = 130-9x
- The number obtained after interchanging the digits is 10x+(13-x) =9x+13
- Therefore, by the problem
130-9x-(9x+13) = 45
or, 130-9x- 9x-13 = 45
or, -18x = 45-130+13
or, -18x= -72
or, x = 72/18 = 4
or, x = 4
- So, the original number = 130-9x = 130 -9(4) = 130 - 36 = 94
<h3>Answer:</h3>
The number is 94.
I think the answer you have given isn't right. The answer should be 94.