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Zielflug [23.3K]
3 years ago
6

Some students equally share 2 baskets of oranges. Each basket has 12 oranges. Write an algebraic expression to represent this si

tuation. Then explain how you chose which variable and operations to use.
Mathematics
1 answer:
Leona [35]3 years ago
5 0

Answer:

y = 24 /x

The operations used were: Multiplication and Division

Step-by-step explanation:

Let the number of students who shared the basket = x

Amount of oranges = y

Some students equally share 2 baskets of oranges. Each basket has 12 oranges.

The total number of oranges in basket = 2 baskets × 12 oranges

= 24 oranges

Therefore, the algebraic expression to represent this situation is written as:

y = 24 /x

The operations used were: Multiplication and Division

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Answer:

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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)

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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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