39

45

48

43

44

44

37

50

41

45

40

44

48

40

47

41

48

39

41

42

42

41

40

40

54

42

41

39

41

39

48

42

43

44

60

36

39

36

38

42

what is the third quartile

To find the third quartile (Q3), also known as the 75th percentile, follow these steps:

1. **Sort the data**: First, arrange the numbers in increasing order.

Sorted dataTo find the third quartile (Q3), also known as the 75th percentile, follow these steps:

1. **Sort the data**: First, arrange the numbers in increasing order.

Sorted 
36, 36, 37, 38, 39, 39, 39, 39, 40, 40, 40, 40, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 44, 44, 44, 44, 44, 45, 45, 47, 48, 48, 48, 48, 50, 54, 60

2. **Find the position of Q3**: The formula to find the position of Q3 is:

   \[
   Q3 = \frac{3(n+1)}{4}
   \]

   where \(n\) is the number of data points. In this case, there are 39 data points, so:

   \[
   Q3 = \frac{3(39+1)}{4} = \frac{120}{4} = 30
   \]

   The 30th value in the sorted data is the third quartile.

3. **Locate Q3**: The 30th value in the sorted data is **44**.

Thus, the third quartile (Q3) is **44**.

Would you like further details or clarifications?

Here are five related questions:
1. How do you find the median (Q2) in a dataset?
2. What is the significance of quartiles in a dataset?
3. How is the interquartile range (IQR) calculated?
4. Can you calculate the first quartile (Q1) from this dataset?
5. What are outliers, and how are they related to quartiles?

**Tip:** Quartiles divide a data set into four equal parts, helping to understand its spread and distribution.

Discover how to find the third quartile (Q3) in a dataset with 39 data points, arranged in increasing order. Learn the step-by-step process of calculating Q3 using the formula Q3 = 3(n+1)/4, and understand its significance in data analysis. This problem is suitable for students in Grades 8-10.

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