Question

2 Number of Marbles in Each Bag 12 15 14 15 14 13 15 mode: median: range:

Answer 1

To find the mode, median, and range of the given data set of marbles in each bag, we first need to list the values: 12, 15, 14, 15, 14, 13, 15.

### 1. Mode:
The mode is the number that appears most frequently in the data set.
- In this case, we have:
- 12: 1 time
- 13: 1 time
- 14: 2 times
- 15: 3 times

The mode is **15** (it appears 3 times).

### 2. Median:
To find the median, we need to arrange the numbers in ascending order:
- 12, 13, 14, 14, 15, 15, 15

Since there are 7 numbers (which is odd), the median is the middle number.
- The middle number is the 4th number in the ordered list.

Thus, the median is **14**.

### 3. Range:
The range is found by subtracting the smallest number from the largest number.
- The smallest number is **12** and the largest number is **15**.
- Range = Largest - Smallest = 15 - 12 = **3**.

### Summary:
- Mode: 15
- Median: 14
- Range: 3