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The lower quartile is the second smallest and the upper quartile is the fourth smallest (second largest).

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Q: How do you find the lower and upper quartiles with only 5 values?
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How do you find the first and third quartiles?

37


How do you find the quartiles of a data set?

First arrange the data set in ascending order. Suppose the data set consists of n observations. the index for the lower quartile is (n + 1)/4 and the index for the upper quartile is 3*(n + 1)/4. Find the values that correspond to the number in these positions in the ordered list. For example, if n = 15, then lower index = 4 and upper index = 12. So the lower quartile is the fourth number and the upper quartile is the twelfth. If n is large, you may skip the +1 and just look at n/4 and 3n/4. Often the indices are not integers. Then, if you are a beginner (nd the fact that you asked this question suggests that you are), find the nearest whole numbers for the two indices. Otherwise you need to interpolate and that is a whole new ball game!


What is the meaning of lower class boundary in statistics?

In statistics the class boundaries are numbers that separate classes without forming gaps. To find the lower, you subtract 0.5 and to find the upper, you add 0.5. If the class is 3-7 the lower class boundary would be 2.5 and the upper 7.5. The upper boundary of one class will equal the lower boundary of the next class.


How do you find the upper and lower quartile for a histogram with unequal class widths?

You would first need to know the amounts of each quartile. Then use your formula to place the numbers inside.


What is a box-and-wisker plot?

The first step in constructing a box-and-whisker plot is to first find the median, thelower quartile and the upper quartile of a given set of data. Example: The following set of numbers are the amount of marbles fifteen different boys own (they are arranged from least to greatest).18 27 34 52 54 59 61 68 78 82 85 87 91 93 100First find the median. The median is the value exactly in the middle of an ordered set of numbers. *68 is the medianNext, we consider only the values to the left of the median: 18 27 34 52 54 59 61. We now find the median of this set of numbers. Remember, the median is the value exactly in the middle oa an ordered set of numbers. Thus 52 is the median of the scores less than the median of all scores, and therefore is the lower quartile.52 is the lower quartileNow consider only the values to the right of the median: 78 82 85 87 91 93 100. We now find the median of this set of numbers. The median 87 is therefore called the upper quartile.87 is the upper quartile(*If you're finding the median in an ordered set with an even number of values, you must take the average of the two middle numbers. For example: 3, 5, 7, and 10. Add the two middle numbers. 5 + 7 = 12. Divided 12 by 2 to get the average. 12 / 2 = 6. Therefore 6 is the median for the ordered set of 3, 5, 7, and 10.)You are now ready to find the interquartile range (IQR).The interquartile range is the difference between the upper quartile and the lower quartile. In our case the IQR = 87 - 52 = 35. The IQR is a very useful measurement. It is useful because it is less influenced by extreme values, it limits the range to the middle 50% of the values.35 is the interquartile rangehere is a sucessful site called Jen's Box and Whisker plot, and here is a example of a whisker plot from that very own site. because itso hard to describe! i hope you find this helpful good luck!!

Related questions

How do you find the inner and outer quartiles?

To find the inner quartiles (Q1 and Q3), first arrange your data in ascending order. Q1 is the median of the lower half of the data, and Q3 is the median of the upper half. The inner quartiles divide the data into four equal parts. The outer quartiles also known as the minimum and maximum values, are the smallest and largest values in the data set.


How do you find upper and lower quartile?

See related link. Upper and lower quartiles are the 75 and 25% percentile measures.


How do you find the IQR of a set of data?

Iqr stands for inter quartile range and it is used to find the middle of the quartiles in a set of data. To find this, you find the lower quartile range and the upper quartile range, and divide them both together.


What are quartiles in relationship to mean median mode?

Quartiles are values that divide a sample of data into four groups containing the same number of observations. You will find details in the related link.


What is utility of cumulative frequency curve?

The main utility of a cumulative frequency curve is to show the distribution of the data points and its skew. It can be used to find the median, the upper and lower quartiles, and the range of the data.


How do find lower and upper extreme?

To find the lower extreme, you need to identify the smallest value in a data set. To find the upper extreme, you need to identify the largest value in the data set. These values represent the lowest and highest points of the data distribution.


How to find the upper and lower bound of 1000?

How do you calculate the upper and lower bounds? Image result for How to find the upper and lower bound of 1000? In order to find the upper and lower bounds of a rounded number: Identify the place value of the degree of accuracy stated. Divide this place value by


How do you find the first and third quartiles?

37


How do you find the lower and upper quartile?

U find the upper quartile by going to ur data and finding the median by ur median and the lower or upper extreme


How do you find the quartiles of a data set?

First arrange the data set in ascending order. Suppose the data set consists of n observations. the index for the lower quartile is (n + 1)/4 and the index for the upper quartile is 3*(n + 1)/4. Find the values that correspond to the number in these positions in the ordered list. For example, if n = 15, then lower index = 4 and upper index = 12. So the lower quartile is the fourth number and the upper quartile is the twelfth. If n is large, you may skip the +1 and just look at n/4 and 3n/4. Often the indices are not integers. Then, if you are a beginner (nd the fact that you asked this question suggests that you are), find the nearest whole numbers for the two indices. Otherwise you need to interpolate and that is a whole new ball game!


How do you make a box and whiskers plot?

I personally hated these. So say you have a set of numbers. 78, 80, 81, 83 ,and 85. You need to find the lower quartile, upper quartile, and of course median. the highest and lowest points will be on the end. draw a box around the upper, and lower quartile and lines coming out from it connecting to 78 and 85.


How to interpert upper and lower river gauges?

You can find more information on how to interpret upper and lower river gauges on or.water.usgs.gov