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Answer:
IQR: 2
Step-by-step explanation:
First, you would write out all of your data in order from least to greatest and then find Q1 and Q3 and then just subtract Q1 from Q3 to get 2.
Hope this helped, I haven't done this in a while.
The interquartile range (IQR) of the data in the dot plot considered is the difference between its quartiles and is evaluated being 1.5
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 groups approximately possessing 25% of the data.
- Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
- Similarly, second quartile (also called median) is approximately in mid of the data.
- Third quartile (also called 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 assumption that data was arranged increasingly from left to right.
How to find the interquartile range?
IQR(inter quartile range) is the dfference between third and first quartile.
Each dot in the dot plot represents corresponding observation.
There are 3 dots over zero, so 3 values of the data set are 0,0,0
Similarly, we get other values of the data set whose plot is given, as:
1,2,2,2,2,2,3,4
Thus, the data set is composed of these observations:
0,0,0,1,2,2,2,2,2,3,4
There are 11 values in the data set.
Dividing 11 by 4 gives a number between 3 and 4.
Thus 25% of 11 observations is between 3 and 4.
At 25% of the observations from left side will lie first quartile.
Thus, it is between 3rd and 4th observation, therefore, being the value between 0 and 1. It can be any value > 0 and < 1. We usually take mean of these limits, which is (0+1)/2 = 0.5
Thus, first quartile = 0.5
Similarlly, at 75% of the observations from left side will lie third quartile.
75% of 11 is 8.25, the 8th and 9th observations are 2.
Thus, third quartile for this data set is 2
Thus, we get: IQR = third quartile - first quartile = 2 - 0.5 = 1.5
Thus, the interquartile range (IQR) of the data in the dot plot considered is the difference between its quartiles and is evaluated being 1.5
Learn more about quartiles here:
brainly.com/question/9260741
