Interquartile range12/20/2023 ![]() It takes half of the time to cover half of the scores. Half of the difference between the first(Q 1 ) and third quartiles(Q 3 ) is the semi-interquartile range. It help in providing the required information about how the data is distributed around a central point(mean). Semi interquartile range is also known as the quartile deviation. ⇒ IQR = Q 3 – Q 1 = 92-77 = 15 What is Semi Interquartile Range? Next identify median value in lower half as Q 1 and upper half as Q 3.Next Divide into two halfs ,Lower half and Upper half.Count the given values i.e is 7 ,so count is odd,then median is middle value =82. ![]() First, we need to arrange in ascending order.Now to calculate the Interquartile Range steps involved are: We will see how to Calculate the Interquartile Range using an example:Įxample: Consider the following dataset of exam scores for a class tenth:įind the Interquartile Range of the above data Step 8: The resulting value is the final interquartile range.Step 7: Finally, we will subtract the median values of Q 1 and Q 3.Step 6: From Q3 quartile values, we will calculate another median value.Step 5: From Q1 quartile values, we will calculate one median value.these Lower Half and Upper half are determined as Q 1 and Q 3 parts. Step 4: The Calculated Median divides given values into two equal parts as Lower Half and Upper half.Step 3: If the total count is odd, then the centre value will be as median, otherwise, calculate the average value for two middle values.Step 2: Count the given number of values in the data.Step 1: Arrange the given numbers in the data in ascending order.There are some steps to be followed to calculate Interquartile Range: = Q 3 – Q 1 Interquartile Range Calculation Interquartile range = Upper Quartile (Q 3 )– Lower Quartile(Q 1 ) The formula used to calculate the Interquartile range is: Interquartile range is mostlyuseful measure of variability for skewed distributions.IQR is the range between the first and the third quartiles namely Q 1 and Q 3 : IQR = Q 3 – Q 1. Interquartile range is used to calculate the difference between the upper and lower quartiles in the set of give data. Interquartile range is calculated by using the difference between the third Quartile Q 3 and the first Quartile Q 1. Q 3 represents the 75th percentile of the data.Q 2 represents the 50th percentile of the data.Q 1 represents the 25th percentile of the data. ![]() Q 1, Q 2, Q 3 called first, second and third quartiles in the given data. The data is sorted in ascending order and split into 4 equal parts. IQR is used to measure variability by dividing a data set into quartiles. Whereas, Q 1 represents the 25 th percentile of the data, whereas Q 3 represents the 75 th percentile of the data.Here we use the First Quartile (Q 1 ) and Third Quartile (Q 3 ) to calculate the Interquartile Range(IQR).Q 3 is the middle value between the median and the highest value of the data set.Q 1 is defined as the middle number between the smallest number and the median of the data set. ![]()
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