Question

Determine the median and modal values for the set:
(3,12; 3,19; 3,12; 3,22; 3,19; 3,19; 3,08; 3,27}
(2)
SELECT THE CORRECT ANSWER
median = 3,19; mode = 3,12
median = 3,205; mode = 3,19
median = 3,19; mode = 3,19
None of the given answers

Answer 1

To determine the median and mode for the set of values (3.12, 3.19, 3.12, 3.22, 3.19, 3.19, 3.08, 3.27), we can follow these steps:

1. **Organize the Values**:
- First, sort the values in ascending order:
- 3.08, 3.12, 3.12, 3.19, 3.19, 3.19, 3.22, 3.27

2. **Determine the Median**:
- The median is the middle value in a sorted list. For an even number of observations, the median will be the average of the two middle values.
- Here, we have 8 values (even):
- The two middle values are the 4th and 5th values (3.19 and 3.19).
- So, the median is (3.19 + 3.19) / 2 = 3.19.

3. **Determine the Mode**:
- The mode is the value that appears most frequently in the data set.
- From the sorted list, we see:
- 3.08 appears 1 time,
- 3.12 appears 2 times,
- 3.19 appears 3 times,
- 3.22 appears 1 time,
- 3.27 appears 1 time.
- Thus, the mode is 3.19 since it appears most frequently.

Combining both, we find:
- Median = 3.19
- Mode = 3.19

So the correct answer is:
**median = 3,19; mode = 3,19**.