Answered: Here is a sample data set. 369.6 371…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 2SE: What is a sample space?

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Question

Here is a sample data set.

369.6	371	381.9	385.6	387.8	394.5
402.3	403.1	403.2	405.4	416.1	422.2
430.4	430.4	430.4	432.7	433.7	435
435.4	438.6	439.1	440.3	441.7	443.5
443.6	446.7	446.8	446.8	448.1	452.9
459	460.7	465.6	465.8	471.4	475.8
484.9	485.6	489.9	491.2	491.2	491.2
500	504.4	511.7	513.8	529	537.2
539.5	550.5	561.9	580.6	598.3	606.7

5101520length (cm)350400450500550600650Frequency[Graphs generated by this script: setBorder(54,40,20,15); initPicture(305,650,0,23);axes(1213.4,5,1,null,5); fill="blue"; textabs([165,0],"length (cm)","above");line([350,-0.46],[350,0.46]); text([350,0],"350","below");line([400,-0.46],[400,0.46]); text([400,0],"400","below");line([450,-0.46],[450,0.46]); text([450,0],"450","below");line([500,-0.46],[500,0.46]); text([500,0],"500","below");line([550,-0.46],[550,0.46]); text([550,0],"550","below");line([600,-0.46],[600,0.46]); text([600,0],"600","below");line([650,-0.46],[650,0.46]); text([650,0],"650","below");textabs([0,115],"Frequency","right",90);rect([350,0],[400,6]);rect([400,0],[450,23]);rect([450,0],[500,13]);rect([500,0],[550,7]);rect([550,0],[600,4]);rect([600,0],[650,1]);]

Find the minimum for this data set.
min =

Find the first quartile for this data set.
Q₁ =

Find the median for this data set.
Mdn =

Find the third quartile for this data set.
Q₃ =

Find the maximum for this data set.
max =

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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