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
3.5
None
3
3
6
6
Mean




Median




Range




Mode

Answer 1

To find the mean, median, mode, and range of the list of values: 1, 2, 4, 71, 2, 4, 71, 2, 4, 7, let's calculate each of them step by step.

### Step 1: Mean
The mean is calculated by adding all the numbers together and dividing by the total count of numbers.

**Values**: 1, 2, 4, 71, 2, 4, 71, 2, 4, 7

**Sum**:
1 + 2 + 4 + 71 + 2 + 4 + 71 + 2 + 4 + 7 = 168

**Count**: 10

**Mean** = Total Sum / Count = 168 / 10 = **16.8**

### Step 2: Median
The median is the middle number when the values are arranged in ascending order. If there is an even count, it is the average of the two middle numbers.

**Ordered Values**: 1, 2, 2, 2, 4, 4, 4, 7, 71, 71

With 10 values (even count), the median will be the average of the 5th and 6th values.

5th value = 4
6th value = 4

**Median** = (4 + 4) / 2 = **4**

### Step 3: Mode
The mode is the number that appears most frequently in the list.

**Frequency**:
- 1 appears 1 time
- 2 appears 3 times
- 4 appears 3 times
- 7 appears 1 time
- 71 appears 2 times

**Modes**: 2 and 4 (both appear the most frequently, 3 times each).

**Mode** = 2 and 4 (it is multimodal as it has two modes).

### Step 4: Range
The range is the difference between the highest and lowest values.

**Lowest Value**: 1
**Highest Value**: 71

**Range** = Highest - Lowest = 71 - 1 = **70**

### Summary
- **Mean**: 16.8
- **Median**: 4
- **Mode**: 2 and 4
- **Range**: 70

Since your listed options don't seem to match the calculations, the correct results for the statistics based on the provided numbers are:

- **Mean**: 16.8
- **Median**: 4
- **Mode**: 2 and 4 (not listed as "None," which implies no mode)
- **Range**: 70 (not listed in the provided answers)