Knowee
Questions
Features
Study Tools

Suppose, we have 5 observations such that 23, 39, 29, 34, 70. Calculate the Inter Quartile Range (IQR) of the data.

Question

Suppose, we have 5 observations such that 23, 39, 29, 34, 70. Calculate the Inter Quartile Range (IQR) of the data.

🧐 Not the exact question you are looking for?Go ask a question

Solution

To calculate the Inter Quartile Range (IQR) of the data, follow these steps:

  1. First, arrange the data in ascending order: 23, 29, 34, 39, 70.

  2. Next, find the median (Q2) of the data. Since we have 5 observations, the median is the middle number, which is 34.

  3. Then, find the lower quartile (Q1). This is the median of the lower half of the data. In this case, the lower half is 23 and 29. The median of these two numbers is (23+29)/2 = 26.

  4. Find the upper quartile (Q3). This is the median of the upper half of the data. In this case, the upper half is 39 and 70. The median of these two numbers is (39+70)/2 = 54.5.

  5. Finally, subtract Q1 from Q3 to find the IQR. So, IQR = Q3 - Q1 = 54.5 - 26 = 28.5.

So, the Inter Quartile Range (IQR) of the data is 28.5.

This problem has been solved

Similar Questions

The interquartile range IQR is a useful measure of data spread utilizing relative position. Recall that the IQR is the difference between the third and first quartiles.IQR = Q3 − Q1We previously found Q1 = 6 from Q3 = 9.5. Use these values to calculate the IQR.IQR  =  Q3 − Q1 =  − 6 =

The interquartile range (IQR) is defined to be the difference between the two quartile values.TrueFalse

In a box plot, what does the interquartile range (IQR) represent?Question 5Answera.Range of the middle 50% of the datab.Sum of the first and third quartilesc.Difference between the maximum and minimum valuesd.Average of all data points

For the following set of data, what is the interquartile range?x = { 6, 8, 9, 12, 14, 15, 17 }Exclude the median in any calculations requiring quartiles.1 point761598

X1.74622.42912.39781.82952.09561.98012.06381.98621.81921.82211.94182.0916Based on the above table,Find the Inter-Quartile range:

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.