(08.04)The table below shows 10 data values: 88 92 94 80 85 90 72 83 93 91 What is the five-number summary for these data? Math

Respuesta :

put the numbers in order....very important

72,80,83,85,88,90,91,92,93,94

minimum (lowest number) = 72
Q1 = 83
Q2 (middle number) = (88 + 90) / 2 = 178/2 = 89
Q3 = 92
maximum (highest number) = 94

** this would have been answered a lot quicker if u would have posted in math section

The five-number summary for these data is:

Minimum = 72, Q1 = 83, median = 89, Q3 = 92, maximum = 94. Thus, option (a) is correct.

What is quartile?

The term quartile used in statistically as the value is divided into observation basis as quartile one, quartile 2, quartile 3.

Arranging Observations in the ascending order:

72,80,83,85,88,90,91,92,93,94

The minimum is 72 and the maximum is 94.

The calculation of Q1

Here, n=10

[tex]Q1 = (\frac{n+1}{4} )[/tex] th value of the observation

[tex]Q1 = (\frac{11}{4} )[/tex] th value of the observation

Q1 =(2.75) th value of the observation

Q1 =2nd observation +0.75[3rd-2nd]

Q1 =80+0.75[83-80]

Q1 =80+0.75(3)

Q1 =80+2.25

Q1 =82.25

The calculation of Q2:

Here, n=10

[tex]Q2=\frac{2(n+1)}{4}[/tex]th value of the observation

[tex]Q2 = (\dfrac{2.11}{4} )[/tex]th value of the observation

Q2 =(5.5)th value of the observation

Q2 =5th observation +0.5[6th-5th]

Q2 =88+0.5[90-88]

Q2 =88+0.5(2)

Q2 =88+1

Q2 =89

The calculation of Q3:

Here, n=10

Q3 =(3(n+1)/4)th value of the observation

[tex]Q3 = (\dfrac{3.11}{4} )[/tex]th value of the observation

Q3 =(8.25)th value of the observation

Q3 =8th observation +0.25[9th-8th]

Q3 =92+0.25[93-92]

Q3 =92+0.25(1)

Q3 =92+0.25

Q3 =92.25

Therefore, option (a) is correct.

Learn more, about on quartile, here:

https://brainly.com/question/7039036

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Option:-

  1. Minimum = 72, Q1 = 83, median = 89, Q3 = 92, maximum = 94
  2. Minimum = 80, Q1 = 85, median = 89, Q3 = 91, maximum = 93
  3. Minimum = 80, Q1 = 83, median = 90, Q3 = 92, maximum = 93
  4. Minimum = 72, Q1 = 85, median = 90, Q3 = 91, maximum = 94