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For the 17 quiz scores graphed in the histogram, estimate the median.

histogram
Group of answer choices

between 16 and 18

between 10 and 12

13

To estimate the median from the histogram:

1. **Count the total number of scores**: The total number of quiz scores is given as 17.
2. **Locate the median position**: The median is the middle value when the data is ordered. Since there are 17 scores, the median is the 9th score.

Now let's analyze the histogram:

- The first bar (6 to 10) contains 2 scores.
- The second bar (10 to 14) contains 3 scores. 
- The third bar (14 to 16) contains 3 scores.
- The fourth bar (16 to 18) contains 4 scores.
- The fifth bar (18 to 22) contains 5 scores.

**Cumulative Frequencies**:
- Up to 10: 2 scores
- Up to 14: 2 + 3 = 5 scores
- Up to 16: 5 + 3 = 8 scores
- Up to 18: 8 + 4 = 12 scores (the 9th score is within this interval)
- Up to 22: 12 + 5 = 17 scores

Since the 9th score falls in the interval between 16 and 18, the median is **between 16 and 18**.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How do you calculate the mean score from a histogram?
2. What is the mode in this dataset, and how can it be determined from the histogram?
3. How does the shape of the histogram reflect the distribution of data?
4. What is the interquartile range (IQR) and how can it be estimated from this histogram?
5. How would you estimate the range of the quiz scores from this histogram?

**Tip:** The median is the value separating the higher half from the lower half of a data sample. In a histogram, it's the point where half of the observations fall below it and half above it.

For the 17 quiz scores graphed in the histogram, estimate the median.

This problem involves estimating the median from a histogram of 17 quiz scores. By understanding the concept of cumulative frequency and identifying the position of the 9th score, students can determine that the median lies between 16 and 18.

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