Question

Find the mean, Median and Mode
7,11,12,14,8,4,10,11
A. 8.9
B. 9
C. 10.5
D. 9.6
Best answer

Answer 1

To find the mean, median, and mode of the dataset, we will first organize the data and then calculate the required statistics.

### Step 1: Organize the Data
The given data set is:
7, 11, 12, 14, 8, 4, 10, 11

Let's arrange these numbers in ascending order:
4, 7, 8, 10, 11, 11, 12, 14

### Step 2: Calculate the Mean
The mean is calculated as follows:

\[
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}
\]

Sum of the values:
\[ 4 + 7 + 8 + 10 + 11 + 11 + 12 + 14 = 77 \]

Number of values = 8

So,

\[
\text{Mean} = \frac{77}{8} = 9.625
\]

### Step 3: Calculate the Median
To find the median, we locate the middle number(s) of the ordered list:

Since there are 8 values (an even number), the median is the average of the 4th and 5th values.

The 4th value is 10 and the 5th value is 11. So,

\[
\text{Median} = \frac{10 + 11}{2} = \frac{21}{2} = 10.5
\]

### Step 4: Calculate the Mode
The mode is the number that appears most frequently in the dataset. From our arranged list (4, 7, 8, 10, 11, 11, 12, 14), the number 11 appears twice, while all other numbers appear once.

Thus, the mode is:

\[
\text{Mode} = 11
\]

### Summary of Results
- **Mean:** 9.625
- **Median:** 10.5
- **Mode:** 11

### Choice Review
Among the choices provided (A. 8.9, B. 9, C. 10.5, D. 9.6), the only one that matches our results is **C. 10.5** (the median).

Thus, the best answer is:
**C. 10.5**.