Answer :
To find the median of the given data set, follow these steps:
1. List the data set:
[tex]\( 34, 49, 29, 24, 94, 36, 90, 36 \)[/tex]
2. Sort the data set in ascending order:
[tex]\( 24, 29, 34, 36, 36, 49, 90, 94 \)[/tex]
3. Determine the number of elements in the data set:
There are 8 elements.
4. Identify the median in a sorted data set:
- Since the number of elements (8) is even, the median is the average of the middle two numbers.
- The middle two numbers are the 4th and 5th elements in the sorted list: [tex]\( 36 \)[/tex] and [tex]\( 36 \)[/tex].
5. Calculate the median:
[tex]\[
\text{Median} = \frac{36 + 36}{2} = 36
\][/tex]
Therefore, the median of the data set is [tex]\( 36 \)[/tex].
So, the correct answer is:
(b) 36
1. List the data set:
[tex]\( 34, 49, 29, 24, 94, 36, 90, 36 \)[/tex]
2. Sort the data set in ascending order:
[tex]\( 24, 29, 34, 36, 36, 49, 90, 94 \)[/tex]
3. Determine the number of elements in the data set:
There are 8 elements.
4. Identify the median in a sorted data set:
- Since the number of elements (8) is even, the median is the average of the middle two numbers.
- The middle two numbers are the 4th and 5th elements in the sorted list: [tex]\( 36 \)[/tex] and [tex]\( 36 \)[/tex].
5. Calculate the median:
[tex]\[
\text{Median} = \frac{36 + 36}{2} = 36
\][/tex]
Therefore, the median of the data set is [tex]\( 36 \)[/tex].
So, the correct answer is:
(b) 36
