You can use the following formulas to find the first (Q_{1}) and third (Q_{3}) quartiles of a normally distributed dataset: **Q**_{1} = μ – (. **675)σ**

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**Example 1: Find Quartiles Using Mean & Standard Deviation**

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- IQR = Q
_{3}– Q. ... - IQR = 330.375 – 269.265.
- IQR = 61.11.

The formula for quartiles is given by:

- Lower Quartile (Q1) = (N+1) * 1 / 4.
- Middle Quartile (Q2) = (N+1) * 2 / 4.
- Upper Quartile (Q3 )= (N+1) * 3 / 4.
- Interquartile Range = Q3 – Q1.

There are four different formulas to find quartiles:

- Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4)
- Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4)
- Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)

Calculation of quartile deviation can be done as follows,

- Q1 is an average of 2
^{nd}^{,}which is11 and adds the difference between 3^{rd}& 4^{th}and 0.5, which is (12-11)*0.5 = 11.50. - Q3 is the 7
^{th}term and product of 0.5, and the difference between the 8^{th}and 7^{th}term, which is (18-16)*0.5, and the result is 16 + 1 = 17.

You can use the following formulas to find the first (Q_{1}) and third (Q_{3}) quartiles of a normally distributed dataset: Q_{1} = μ – (. 675)σ

...

Example 1: Find Quartiles Using Mean & Standard Deviation

...

Example 1: Find Quartiles Using Mean & Standard Deviation

- IQR = Q
_{3}– Q. ... - IQR = 330.375 – 269.265.
- IQR = 61.11.

Quartile Function Excel

- Type your data into a single column. For example, type your data into cells A1 to A10.
- Click an empty cell somewhere on the sheet. For example, click cell B1.
- Type “=QUARTILE(A1:A10,1)” and then press “Enter”. This finds the first quartile. To find the third quartile, type “=QUARTILE(A1:A10,3)”.

The left edge of the box represents the lower quartile; it shows the value at which the first 25 % of the data falls up to. The right edge of the box shows the upper quartile; it shows that 25 % of the data lies to the right of the upper quartile value.

The median divides the data into a lower half and an upper half. The lower quartile is the middle value of the lower half. The upper quartile is the middle value of the upper half.

Mean Deviation is the mean of all the absolute deviations of a set of data. Quartile deviation is the difference between “first and third quartiles” in any distribution. Standard deviation measures the “dispersion of the data set” that is relative to its mean.

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