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Find the 5 number summary of the following set of data: 11, 8, 12, 4, 7, 10, 3, 15, 8, 8, 7

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A variable y of a finite population has the following frequency distribution:



y
0
1
4
6


f
18
14...

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Issue 1: Pearson Correlation Coefficient
 
 


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In general, five number summary represents minimum, first quartile, median, third quartile and maximum.

The data points is arranged in ascending order as follows:3, 4, 7, 7, 8, 8, 8, 10, 11, 12, 15.Minimum and maximum:In this case, the minimum and maximum values are 3 and 15.Median.The median of the dataset is nothing but the second quartile of dataset.The data points is arranged in ascending order as follows:3, 4, 7, 7, 8, 8, 8, 10, 11, 12, 15.The number of observations in the dataset is n = 11.Since, 11 is an odd number, the median of the data will be the middle observation of the ordered dataset.Here, the middle observation of the dataset is 8. Therefore, the median is 8.First quartile:The general procedure to obtain first quartile is,<ul><li>Arrange the data in ascending order.</li><li>Obtain the value of c = (n/4).</li><li>If the value of c is not a whole number, then round the value of c to the next whole number. The cth term in the ordered dataset is the first quartile of the dataset.</li><li>If the value of c is a whole number, then the first quartile is the average of cth and (c+1)th term in the ordered data set.</li></ul>The first quartile is obtained as follows:

Third quartile:The general procedure to obtain third quartile is,<ul><li>Arrange the data in ascending order.</li><li>Obtain the value of c = (3n/4).</li><li>If the value of c is not a whole number, then round the value of c to the next whole number. The cth term in the ordered dataset is the third quartile of the dataset.</li><li>If the...</li></ul>

Statistics

Math

Find the 5 number summary of the following set of data: 11, 8, 12, 4, 7, 10, 3, 15, 8, 8, 7

Find the 5 number summary of the following set of data: 11, 8, 12, 4, 7, 10, 3, 15, 8, 8, 7

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