Answer :
To find the median of a list of values, follow these steps:
1. List the values:
16, 95, 3, 37, 97, 13, 27, 42, 64, 14
2. Sort the values in ascending order:
3, 13, 14, 16, 27, 37, 42, 64, 95, 97
3. Locate the median:
- Since there are 10 values (an even number), the median is the average of the two central numbers in the sorted list.
- In the sorted list, the two central numbers are the 5th and 6th values:
3, 13, 14, 16, 27, 37, 42, 64, 95, 97
- These values are 27 and 37.
4. Calculate the median:
[tex]\[ \text{Median} = \frac{27 + 37}{2} = \frac{64}{2} = 32 \][/tex]
Thus, the median of the given set of values is 32.
Therefore, none of the provided options (A, B, C, D) is correct. The accurate answer should be:
32
1. List the values:
16, 95, 3, 37, 97, 13, 27, 42, 64, 14
2. Sort the values in ascending order:
3, 13, 14, 16, 27, 37, 42, 64, 95, 97
3. Locate the median:
- Since there are 10 values (an even number), the median is the average of the two central numbers in the sorted list.
- In the sorted list, the two central numbers are the 5th and 6th values:
3, 13, 14, 16, 27, 37, 42, 64, 95, 97
- These values are 27 and 37.
4. Calculate the median:
[tex]\[ \text{Median} = \frac{27 + 37}{2} = \frac{64}{2} = 32 \][/tex]
Thus, the median of the given set of values is 32.
Therefore, none of the provided options (A, B, C, D) is correct. The accurate answer should be:
32
