Question

Find the mean and median of the following data set: 98, 87, 92, 79, 65, 91, 80, 92, 85, 86. (1 point)

a
Mean: 76.9, Median: 65

b
Mean: 84.5, Median: 78

c
Mean: 85.5, Median: 86.5

d
Mean: 85.5, Median: 86

Answer 1

To calculate the mean and median of the data set: 98, 87, 92, 79, 65, 91, 80, 92, 85, 86, we can follow these steps:

### Step 1: Calculate the Mean
The mean is calculated by summing all the numbers and dividing by the count of the numbers.

\[
\text{Sum} = 98 + 87 + 92 + 79 + 65 + 91 + 80 + 92 + 85 + 86 = 85.5
\]

Number of values = 10

\[
\text{Mean} = \frac{\text{Sum}}{\text{Count}} = \frac{880}{10} = 88
\]

### Step 2: Calculate the Median
To find the median, we first need to arrange the data in ascending order:

65, 79, 80, 85, 86, 87, 91, 92, 92, 98

Since there are 10 numbers (an even set), the median will be the average of the 5th and 6th numbers.

The 5th number is 86 and the 6th number is 87.

\[
\text{Median} = \frac{86 + 87}{2} = \frac{173}{2} = 86.5
\]

### Final Results:
- Mean: 88
- Median: 86.5

Looking through your options:

**None of the provided options are correct.**

The correct values are:
- Mean: 88
- Median: 86.5