Question

Find the quartile deviation of 22, 17, 25, 20, 29, 27 and 35.
Find the so​

Answer 1

Answer:

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Answer 2

Answer:

The quartile deviation of the given data set is 5.5

Step-by-step explanation:

Given Data:

The numbers given are 22, 17, 25, 20, 29, 27 and 35.

To Find: The quartile deviation

Calculations:

Arranging in  ascending order,

17, 20, 22, 25, 27, 29, 35

Since we have an odd number of data points, the median is the middle value, which is 25.

Finding the first quartile (Q1), which is the median of the lower half of the data. In this case, the lower half is 17, 20, and 22. Therefore, Q1 = $\frac{20+22}{2} = 21$

Step 4: Find the third quartile (Q3), which is the median of the upper half of the data. In this case, the upper half is 27, 29, and 35. Therefore, Q3 = $\frac{29+35}{2} =32$.

Step 5: Calculate the quartile deviation (QD) using the formula:

QD = $\frac{Q3-Q1}{2}$

QD = $\frac{32-21}{2} = 5.5$

QD = 5.5

Therefore, the quartile deviation of the given data set is 5.5

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