Question

Directions
Use the information to answer the question.

Information
This data represents the number of hamburgers sold over the last 10 days at a restaurant.



34, 37, 41, 51, 56, 58, 70, 75, 77, 77

Question
What is the interquartile range? Enter the answer in the box.

Response area with 1 text input box
hamburgers sold

Answer 1

To find the interquartile range (IQR), we need to first find the first quartile (Q1) and the third quartile (Q3) from the given data set.

The given data is:
34, 37, 41, 51, 56, 58, 70, 75, 77, 77

1. **Order the data** (which is already ordered):
34, 37, 41, 51, 56, 58, 70, 75, 77, 77

2. **Find the median (Q2)**:
- The median (Q2) falls between the 5th and 6th values in this ordered list since there are 10 data points.
- Q2 = (56 + 58) / 2 = 57

3. **Find Q1**:
- Q1 is the median of the lower half (first 5 values): 34, 37, 41, 51, 56.
- The median of this set is the 3rd value: Q1 = 41.

4. **Find Q3**:
- Q3 is the median of the upper half (last 5 values): 58, 70, 75, 77, 77.
- The median of this set is the 3rd value: Q3 = 75.

5. **Calculate the interquartile range (IQR)**:
- IQR = Q3 - Q1 = 75 - 41 = 34.

So, the interquartile range is **34**.