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3 years ago

PLEASE HELP I WILL MARK YOU AS BRAINLEST

Mathematics

2 answers:

Alex17521 [72]3 years ago

5 0

Answer:

2.5

Step-by-step explanation:

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Median: 18.5

Lower quartile: 18

Upper quartile: 20.5

Interquartile range: 20.5 - 18 = 2.5

denpristay [2]3 years ago

4 0

Answer:

(i) Five number summary: Minimum value = 1, $Q_1=18$ , $Median=18.5$ , $Q_3=20.5$ , Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

$Q_1=\frac{18+18}{2}=18$

$Median=Q_2=\frac{18+19}{2}=18.5$

$Q_3=\frac{20+21}{2}=20.5$

Maximum value = 26

The inter quartile range (IQR) of the data is

$IQR=Q_3-Q_1=20.5-18=2.5$

Upper fence :

$Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25$

Lower fence :

$Q_1-1.5(IQR)=18-1.5(2.5)=14.25$

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

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Keywords: Lines segment; copying a line segment, bisecting a line segment.

<h3>Learn more about: </h3>

Defined terms : brainly.com/question/1687476
Line segment: brainly.com/question/1687476
Copying a line segment: brainly.com/question/2404090
Bisecting a line segment: brainly.com/question/10479071

Level: High school

Subject: Mathematics

Topic: Geometry

Sub-topic: Copying and bisecting a line segment

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