How will adding the value 8 affect the mean and median of the data set 4, 6, 8, 10, 12?
a.
the mean and median will increase by the same amount.
b.
the median will increase more than the mean.
c.
the median will stay the same, but the mean will increase.
d.
the mean and median will both stay the same.

Option: D is the correct answer.

Both mean and median stay the same.

Step-by-step explanation:

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:

Hence, we have:

Mean=8

and Median=8

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:

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.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

(-5,-28)

i graphed to on desmos.