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k0ka [10]
3 years ago
11

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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Step-by-step explanation:

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What are the coordinates of the point on the directedline segment from K(-5,-4) to L(5,1) that partitionsthe segment into a rati
Diano4ka-milaya [45]
You can solve this either just plain algebra or with the use of trigonometry.
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We also have this:
KL = KM + ML
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Using the distance formula and the given coordinates of the K and L, we get the length of KL
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Since,
KL = 2.5 ML

Substituting KL,
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Since 9 does not make sense (it does not lie on the line), we choose x=1.
Using the equation of the line, we get y which is -1.

So, we get the coordinates of point M which is (1,-1)
3 0
2 years ago
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