Answer :
4, 6, 8, 10, 12
Mean without 8:
Mean is adding all the numbers and dividing by how many numbers there are.
4 + 6 + 8 + 10 + 12 = 40
40 / 5 = 8
So the mean is 8.
Mean with 8:
4, 6, 8, 8, 10, 12
4 + 6 + 8 + 8 + 10 + 12 = 48
48 / 6 = 8
So the mean is 8.
Median without 8:
4, 6, 8, 10, 12
Median is the middle number. In this case it's 8.
Median with 8:
4, 6, 8, 8, 10, 12
Median is the middle number, there are two 8's in the middle, so the median is 8.
Therefore the mean and the median both stay the same.
Mean without 8:
Mean is adding all the numbers and dividing by how many numbers there are.
4 + 6 + 8 + 10 + 12 = 40
40 / 5 = 8
So the mean is 8.
Mean with 8:
4, 6, 8, 8, 10, 12
4 + 6 + 8 + 8 + 10 + 12 = 48
48 / 6 = 8
So the mean is 8.
Median without 8:
4, 6, 8, 10, 12
Median is the middle number. In this case it's 8.
Median with 8:
4, 6, 8, 8, 10, 12
Median is the middle number, there are two 8's in the middle, so the median is 8.
Therefore the mean and the median both stay the same.
Answer:
Option: D is the correct answer.
Both mean and median stay the same.
Step-by-step explanation:
- We are given a data set as:
4, 6, 8, 10, 12
Clearly from the data set we could see that the median of the set is:
Median=8
( Since we know that the median of the set is the central tendency of a data and always exist in the middle of the data set)
Also, we have 5 data points hence, the mean is calculated as:
[tex]Mean=\dfrac{4+6+8+10+12}{5}\\\\\\Mean=\dfrac{40}{5}\\\\Mean=8[/tex]
Hence, we have:
Mean=8
and Median=8
- Now when we add another point 8 to the set we have the set in increasing order as:
4,6,8,8,10,12
Hence, now the median lies between 8 and 8.
Hence, we get Median=8
( Since, (8+8)/2=16/2=8)
Also, Mean is calculated as:
[tex]Mean=\dfrac{4+6+8+8+10+12}{6}\\\\Mean=\dfrac{48}{6}\\\\Mean=8[/tex]
Hence, we have:
Mean=8
and Median=8
So, the statement that can be inferred form the addition of a new data point is:
D.
The mean and median will both stay the same.
