Question

Select the mean, median mode and range of the following list of values.
​ 1,2,4,71,2,4,71,2,4,7
Averages 3.5 None 3 6
Mean
Media
Range
Mode

Answer 1

Choose one of the answers I provided

Answer 2

Let's calculate the mean, median, mode, and range of the list of values: **1, 2, 4, 71, 2, 4, 71, 2, 4, 7**.

1. **Mean**:
\[
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}
\]
\[
\text{Sum} = 1 + 2 + 4 + 71 + 2 + 4 + 71 + 2 + 4 + 7 = 168
\]
\[
\text{Number of values} = 10
\]
\[
\text{Mean} = \frac{168}{10} = 16.8
\]

2. **Median**:
To find the median, we first sort the list:
**1, 2, 2, 2, 4, 4, 4, 7, 71, 71**
Since there are 10 values (even number), the median will be the average of the 5th and 6th values.
\[
\text{Median} = \frac{4 + 4}{2} = 4
\]

3. **Mode**:
The mode is the value that appears most frequently. In the sorted list:
- 1 appears 1 time
- 2 appears 3 times
- 4 appears 3 times
- 7 appears 1 time
- 71 appears 2 times

The modes are **2** and **4** (both appear 3 times).

4. **Range**:
The range is calculated as:
\[
\text{Range} = \text{Maximum value} - \text{Minimum value}
\]
\[
\text{Maximum} = 71, \quad \text{Minimum} = 1
\]
\[
\text{Range} = 71 - 1 = 70
\]

To summarize:
- Mean: **16.8**
- Median: **4**
- Mode: **2 and 4** (bimodal)
- Range: **70**