## Interquartile Range Calculator

## FAQs

**What is the interquartile range of 9 28 16 2 33 6 10?** To find the interquartile range, first, you arrange the data in ascending order: 2, 6, 9, 10, 16, 28, 33. Then, you find the median, which is 10. This divides the data into two halves. Next, you find the median of each half. For the lower half (2, 6, 9), the median is 6, and for the upper half (16, 28, 33), the median is 28. The interquartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1), so IQR = Q3 – Q1 = 28 – 6 = 22.

**How to calculate interquartile range?** Interquartile range (IQR) is calculated by finding the difference between the upper quartile (Q3) and the lower quartile (Q1) of a data set.

**How is interquartile range calculated?** Interquartile range can be calculated manually by sorting the data, finding the median, then the medians of the lower and upper halves, and finally subtracting the lower quartile from the upper quartile.

**What is the interquartile range of 13 13.5 14 14 14.5 15.5 16?** Arrange the data in ascending order: 13, 13.5, 14, 14, 14.5, 15.5, 16. The median is 14. The lower half (13, 13.5, 14, 14) has a median of 13.25, and the upper half (14.5, 15.5, 16) has a median of 15.5. So, IQR = Q3 – Q1 = 15.5 – 13.25 = 2.25.

**What is the interquartile range of 15 19 20 25 31 38 41?** Arrange the data in ascending order: 15, 19, 20, 25, 31, 38, 41. The median is 25. The lower half (15, 19, 20) has a median of 19, and the upper half (31, 38, 41) has a median of 38. So, IQR = Q3 – Q1 = 38 – 19 = 19.

**What is the interquartile range of this data set 3 4 8 11 14 15 16?** Arrange the data in ascending order: 3, 4, 8, 11, 14, 15, 16. The median is 11. The lower half (3, 4, 8) has a median of 4, and the upper half (14, 15, 16) has a median of 15. So, IQR = Q3 – Q1 = 15 – 4 = 11.

**What is the interquartile range rule?** The interquartile range rule is a method for detecting outliers in data. It defines an outlier as any data point that falls more than 1.5 times the IQR above the upper quartile or below the lower quartile.

**What is the interquartile range of the data set 7 3 10 8 4 1 8 6 5 8?** Arrange the data in ascending order: 1, 3, 4, 5, 6, 7, 8, 8, 8, 10. The median is 6.5. The lower half (1, 3, 4, 5, 6) has a median of 4, and the upper half (7, 8, 8, 8, 10) has a median of 8. So, IQR = Q3 – Q1 = 8 – 4 = 4.

**What is the interquartile range for the data set 8 1 7 3 7 2 6 7 9?** Arrange the data in ascending order: 1, 2, 3, 6, 7, 7, 7, 7, 8, 9. The median is 7. The lower half (1, 2, 3, 6, 7) has a median of 3, and the upper half (7, 7, 7, 8, 9) has a median of 7. So, IQR = Q3 – Q1 = 7 – 3 = 4.

**How to calculate quartiles?** Quartiles are calculated by dividing a data set into four equal parts. The first quartile (Q1) is the median of the lower half of the data, the second quartile (Q2) is the overall median, and the third quartile (Q3) is the median of the upper half of the data.

**How to calculate the range?** The range is calculated by finding the difference between the maximum and minimum values in a data set.

**Is the interquartile range 25%?** No, the interquartile range is not 25%. It is the difference between the upper quartile (Q3) and the lower quartile (Q1).

**What is the interquartile range of 10 20 12 17 16?** Arrange the data in ascending order: 10, 12, 16, 17, 20. The median is 16. The lower half (10, 12) has a median of 11, and the upper half (17, 20) has a median of 18. So, IQR = Q3 – Q1 = 18 – 11 = 7.

**What is the interquartile range of 5 numbers?** The interquartile range can be calculated for any data set, including one with only five numbers. You would find the median (Q2), then find the median of the lower half (Q1) and the upper half (Q3), and subtract Q1 from Q3.

**How do you calculate q1 and q3?** To calculate Q1 and Q3, first, arrange the data in ascending order. Q1 is the median of the lower half of the data, and Q3 is the median of the upper half of the data.

**What is the IQR of this data set 37 42 48 51 52 53 54 54 55?** Arrange the data in ascending order: 37, 42, 48, 51, 52, 53, 54, 54, 55. The median is 52. The lower half (37, 42, 48, 51) has a median of 45, and the upper half (53, 54, 54, 55) has a median of 54. So, IQR = Q3 – Q1 = 54 – 45 = 9.

**What is the interquartile range IQR for the data set 14 15 17 19 20 23 26 30 32?** Arrange the data in ascending order: 14, 15, 17, 19, 20, 23, 26, 30, 32. The median is 20. The lower half (14, 15, 17, 19) has a median of 16, and the upper half (23, 26, 30, 32) has a median of 28. So, IQR = Q3 – Q1 = 28 – 16 = 12.

**What is the interquartile range IQR for the data set 13 14 17 18 23 27 28 31 34?** Arrange the data in ascending order: 13, 14, 17, 18, 23, 27, 28, 31, 34. The median is 23. The lower half (13, 14, 17, 18) has a median of 15.5, and the upper half (27, 28, 31, 34) has a median of 29.5. So, IQR = Q3 – Q1 = 29.5 – 15.5 = 14.

**What is the 4 interquartile range?** There’s no such term as “4 interquartile range.” The interquartile range (IQR) is the range between the first quartile (Q1) and the third quartile (Q3) of a data set.

**Why is the interquartile range 1.5 times?** The 1.5 times rule is used as a criterion for identifying outliers in a data set. If a data point is more than 1.5 times the IQR above the third quartile (Q3) or below the first quartile (Q1), it is considered an outlier. This rule is somewhat arbitrary but is commonly used in statistical practice.

**What is mode in math?** In mathematics, the mode refers to the number that appears most frequently in a data set.

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