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![CALCULATING LOWER, MIDDLE, & UPPER QUARTILE
Q1 = [(n+1)/4]th item
Q2 = [(n+1)/2]th item
Q3 = [3(n+1)/4]th item
Hence, the formula for quartile can be given by;
Where, Qr is the rth quartile
l1 is the lower limit
l2 is the upper limit
f is the frequency
c is the cumulative frequency of the class preceding the quartile
class.
Dr. Hina Jalal (hinansari23@gmail.com)](https://image.slidesharecdn.com/quartileq-211017020750/75/Quartile-in-Statistics-5-2048.jpg)
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Quartile in Statistics
The document discusses quartiles, which divide a data set into four equal parts. The first quartile contains the smallest 25% of values, the second quartile contains values between the 25th and 50th percentiles, the third quartile contains values between the 50th and 75th percentiles, and the fourth quartile contains the largest 25% of values. Formulas are provided for calculating the lower quartile (Q1), median (Q2), and upper quartile (Q3). The quartile deviation is defined as half the distance between Q3 and Q1, while the interquartile range is the full distance between Q3 and Q1. Examples are given to illustrate quartile calculations.
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Quartile in Statistics
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- 2. IN STATISTICS, AQUARTILE IS A TYPE OF QUANTILE WHICH DIVIDES THE NUMBER OF DATA POINTS INTO FOUR PARTS, OR QUARTERS, OF MORE-OR-LESS EQUAL SIZE Dr. Hina Jalal ([email protected])
- 3. 1. First quartile:25% from smallest to largest of numbers 2. Secondquartile: between 25.1% and 50% (till median) 3. Third quartile: 51% to 75% (above the median) 4. Fourth quartile: 25% of largest numbers Dr. Hina Jalal ([email protected])
- 4. DIVISION OF QUARTILE Dr.Hina Jalal ([email protected])
- 5. CALCULATING LOWER, MIDDLE,& UPPER QUARTILE Q1 = [(n+1)/4]th item Q2 = [(n+1)/2]th item Q3 = [3(n+1)/4]th item Hence, the formula for quartile can be given by; Where, Qr is the rth quartile l1 is the lower limit l2 is the upper limit f is the frequency c is the cumulative frequency of the class preceding the quartile class. Dr. Hina Jalal ([email protected])
- 6. QUARTILE FOR GROUPEDDATA Dr. Hina Jalal ([email protected])
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- 10. QUARTILE DEVIATION Youhave learned about standard deviation in statistics. Quartile deviation is defined as half of the distance between the third and the first quartile. It is also called Semi Interquartile range. If Q1 is the first quartile and Q3 is the third quartile, then the formula for deviation is given by; Quartile deviation = (Q3-Q1)/2 Dr. Hina Jalal ([email protected])
- 11. INTERQUARTILE RANGE Theinterquartile range (IQR) is the difference between the upper and lower quartile of a given data set and is also called a midspread. It is a measure of statistical distribution, which is equal to the difference between the upper and lower quartiles. Also, it is a calculation of variation while dividing a data set into quartiles. If Q1 is the first quartile and Q3 is the third quartile, then the IQR formula is given by; IQR = Q3 – Q1 Dr. Hina Jalal ([email protected])
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