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Answer:
Minimum Value = 2.7
Q1 = 9.2
Median = 11.2
Q3 = 13.6
Maximum Value = 19.9
Step-by-step explanation:
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The five-number summary of data set is Minimum value = 2.7 ,
First Quartile Q1 = 9.2 , Median = 11.2 , Third Quartile Q3 = 13.6 and Maximum = 19.9 .
The five-number summary is a set of descriptive statistics that provides information about a dataset.
A summary consists of five values: the most extreme values in the data set (the maximum and minimum values), the lower and upper quartiles, and the median. These values are presented together and ordered from lowest to highest: minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), maximum value.
The lower quartile, or first fourth of data, is found by locating the median of data and then the median of the first half of that data.
Third Quartile (Q_3) means the third fourth of the data, between the median and the maximum/upper extreme; also known as the upper quartile.
The minimum value in the data set is the smallest mathematical value in the data set.
The maximum value is the data with the highest value in the data set.
According to the question
Data set = {12.5, 11.2, 10.9, 13.6, 19.9, 9.2, 2.7}
Arranging them in ascending order
{2.7 , 9.2 , 10.9 , 11.2 , 12.5 , 13.6 , 19.9}
Now,
The five-number summary of data set
Minimum value = 2.7
First Quartile Q1 = 9.2 ( the median of the first half of the data.)
Median = 11.2
Third Quartile Q3 = 13.6 ( the median of the second half of the data.)
Maximum = 19.9
Hence, The five-number summary of data set is Minimum value = 2.7 ,
First Quartile Q1 = 9.2 , Median = 11.2 , Third Quartile Q3 = 13.6 and Maximum = 19.9 .
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