The following data are the scores for 23 students on an algebra test.
86
64
46
63
55
68
54
58
55
66
62
34
Send data to calculator
71
99
57
67
91
27
86
51
33
61
97
Send data to Excel)

find q1, median and q3 max and min

The five-number summary for the given data is:

- **Q1 (25th percentile)**: 54.5
- **Median (50th percentile)**: 62.0
- **Q3 (75th percentile)**: 69.5
- **Minimum**: 27
- **Maximum**: 99

Would you like more details or any clarification?

Here are 5 related questions to expand on:
1. How is the interquartile range (IQR) calculated using Q1 and Q3?
2. How does the median represent the central tendency of this data set?
3. How does the presence of extreme values (like 27 and 99) affect the distribution?
4. Can boxplots be created for this dataset to visualize the quartiles?
5. How would you calculate the variance and standard deviation of these scores?

**Tip:** The interquartile range (IQR), which is Q3 minus Q1, helps identify data spread and potential outliers.

The following data are the scores for 23 students on an algebra test.
86
64
46
63
55
68
54
58
55
66
62
34
Send data to calculator
71
99
57
67
91
27
86
51
33
61
97
Send data to Excel)
Find Q1, median, and Q3, max and min.

Discover how to calculate the five-number summary for a set of algebra test scores, including Q1 (54.5), median (62.0), Q3 (69.5), minimum (27), and maximum (99). This example focuses on key statistical concepts like quartiles and data distribution, ideal for students in Grades 9-12.

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