Question

Consider the data set: 11, 3, 8, 2, 9, 1, 4 Jennifer said the median of the set is 2, because it is the middle value in the data set. Explain why you do or do not agree with her.

Answer 1

first arrange it in assending order
after that count how many numbers are there
there are 7 numbers
numbers are odd
so we solve it in this way (7+1)/2=4
so median is 4

Answer 2

Given:

We have given the set 11,3,8,2,9,1,4.

To Find:

We have to find the mean of the data?

Step-by-step explanation:

Median:

When data is given to us first of all we arrange that data in ascending order or in descending order.

• After that if the data contains odd number of terms then the middle term will be the median

• But if the data Contain odd numbers of term then we find the median by the formula

              $\frac{\frac{n}{2}+\frac{n}{2} +1 }{2} th term$

• In the given set of data we have 11,3,8,2,9,1,4

• First of all we arrange the given data in ascending order which is given by the 1,2,3,4,8,9,11

• Hence here we have odd number of terms thus the median will be middle term which is 4.

Hence, the median is 4.

Answer 3

Given:

We have given the set 11,3,8,2,9,1,4.

To Find:

We have to find the mean of the data?

Step-by-step explanation:

Median:

When data is given to us first of all we arrange that data in ascending order or in descending order.

• After that if the data contains odd number of terms then the middle term will be the median

• But if the data Contain odd numbers of term then we find the median by the formula

              $\frac{\frac{n}{2}+\frac{n}{2} +1 }{2} th term$

• In the given set of data we have 11,3,8,2,9,1,4

• First of all we arrange the given data in ascending order which is given by the 1,2,3,4,8,9,11

• Hence here we have odd number of terms thus the median will be middle term which is 4.

Hence, the median is 4.