And the quartile deviation is the half of the interquartile range of the given data.
The standard deviation is the square root of the average of the deviation of each of the data wth reference to the mean of the data. What Is the Difference Between Standard Deviation and Quartile Deviation? Here n is for the particular quartile, N is the total frequency, f is the frequency of the particular class, c is the cumulative frequency of the preceding class, and l 1, l 2 are the lower and upper boundaries of the class interval. For ungrouped data use the formula Q 1 = (n + 1)/4, and for ungrouped data use the formula \(Q_1 =l_1 + \dfrac(l_2 - l_1)\). Find the first quartile value using one of these formulas.Arrange the available data in ascending or both the grouped and ungrouped data.
The quartile deviation is calculated differently for ungrouped data and for the grouped data. The quartile deviation can be calculated in two different methods, based on the type of given data. And the relative measure with reference to quartile deviation is known as the coefficient of quartile deviation.Ĭoefficient of Quartile Deviation = (Q 3 – Q 1) / (Q 3 + Q 1) Quartile deviation measures the absolute level of dispersion and is not affected by the extreme values. Quartile deviation can be calculated for both the grouped data and the ungrouped data. Quartile Deviation = (Third Quartile – First Quartile) / 2 This quartile deviation is also referred to as a semi-interquartile range. The difference between the first quartile Q 1 and the third quartile Q 3 is called the interquartile range, and half of this interquartile range is called the quartile deviation. Quartile deviation is the dispersion in the middle of the data. Also, the first quartile Q 1 is the median of the first half of the data, and the third quartile Q 3 is the median of the second half of the data. The median of the data has been referred as the second quartile Q 2. Here we have three quartiles Q 1, Q 2, Q 3 which divide the data into three quarters. Before understanding more about quartile deviation let us understand more about quartiles. Here quartile deviation gives the spread of the data, which helps to understand the distribution of the data. It measures the deviation of the data from the average value. Quartile deviation is a statistic that measures the deviation.
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