$$ 8,13,15,19,14,16,11,9,12,12 $$ Send data to calculator Find the median number of movies that the students saw.

Question

UpStudy AI · Accepted Answer

To find the median of the dataset $$ 8, 13, 15, 19, 14, 16, 11, 9, 12, 12 $$, we first need to sort the numbers in ascending order.

The sorted dataset is: $$ 8, 9, 11, 12, 12, 13, 14, 15, 16, 19 $$.

Since there are 10 numbers (an even count), the median will be the average of the two middle numbers. The two middle numbers in this case are the 5th and 6th numbers in the sorted list.

Let's calculate the median:

1. Identify the 5th and 6th numbers: $$ 12 $$ and $$ 13 $$.
2. Calculate the average of these two numbers.

The formula for the median in this case is:

$$
\text{Median} = \frac{12 + 13}{2}
$$

Now, I will calculate this.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(12+13\right)}{2}$$
- step1: Remove the parentheses:
  $$\frac{12+13}{2}$$
- step2: Add the numbers:
  $$\frac{25}{2}$$
The median of the dataset $$ 8, 13, 15, 19, 14, 16, 11, 9, 12, 12 $$ is $$ 12.5 $$.
The median number of movies is 12.5.

Send data to calculator
Find the median number of movies that the students saw.

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