Quartiles are 3 points such that they create four groups in the data. For the following set of data, the value of the lower quartile is 78.
What are quartiles?
When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
- The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
- Similarly, the second quartile (also called median) is approximately in mid of the data.
- The third quartile (also called the upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in the assumption that data were arranged increasingly from left to right.
The given data set has 9 points, therefore, the first quartile will have the average value of the 2nd and the 3rd number when arranged in increasing order. Therefore, the value of the first quartile will be,
First quartile = (75+81)/2 = 78
Hence, For the following set of data, the value of the lower quartile is 78.
Learn more about Quartiles:
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