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 third quartile(Q3) of the data represented by the stem plot is 45.
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 data given in the dot plot if written in the form of a set will be,
{16, 22, 24, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 38, 41, 45, 48, 50, 51, 58, 61}
Now, in the given data the total number of observations is 22, therefore, the median of the data set will be 34.5, dividing the data set into two half, where each group contains 11 observations. Further, now if the median of the second group is found then it is 45.
Hence, the third quartile(Q3) of the data represented by the stem plot is 45.
Learn more about Quartiles:
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