The scores on the most recent quiz in a history class are: 27, 28, 30, 32, 34, 38, 41, 42, 43, 46, 53, 56, 62.  The teacher described the distribution of scores as skewed to the left.  Check the teachers work by:

Find the five number summary of the data and list the values.
Drawing a boxplot of the data and uploading the image in your discussion post (you can draw this by hand or use a computer program).
Is the teacher correct? Explain in at least one complete sentence.

The five-number summary of the quiz scores is as follows:

- Minimum: 27
- Q1 (25th percentile): 32.0
- Median: 41.0
- Q3 (75th percentile): 46.0
- Maximum: 62

You can also view the boxplot of the data [here](sandbox:/mnt/data/boxplot_quiz_scores.png).

### Is the teacher correct?
The teacher mentioned that the distribution is skewed to the left, but based on the boxplot and the five-number summary, the data seems to be **skewed to the right**, since the longer tail is towards the higher scores. This suggests the teacher might be mistaken.

Would you like any more details or explanations?

### Related questions:
1. How is skewness determined from a boxplot?
2. Can you explain how outliers are identified in a boxplot?
3. What is the interquartile range, and how does it help in understanding data spread?
4. How would the boxplot change if one of the scores was much higher than 62?
5. How does the median compare to the mean in skewed distributions?

**Tip:** In a skewed right (positively skewed) distribution, the mean is usually greater than the median.

The scores on the most recent quiz in a history class are: 27, 28, 30, 32, 34, 38, 41, 42, 43, 46, 53, 56, 62. The teacher described the distribution of scores as skewed to the left. Check the teacher's work by: Find the five-number summary of the data and list the values. Drawing a boxplot of the data and uploading the image in your discussion post (you can draw this by hand or use a computer program). Is the teacher correct? Explain in at least one complete sentence.

Analyze the skewness of history quiz scores (27, 28, 30, 32, 34, 38, 41, 42, 43, 46, 53, 56, 62) using a five-number summary and boxplot. Learn how to determine whether the distribution is skewed to the left or right by checking data spread, percentiles, and distribution shape. Suitable for students in Grades 9-12.

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