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3 years ago

Can someone help me with these two questions please??

Mathematics

1 answer:

Stella [2.4K]3 years ago

6 0

Answer: Question 5 = H Question 6 = 6

Step-by-step explanation:

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Mathematically verify the outlier(s) in the data set using the 1.5 rule.

statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

$Q_1=\dfrac{11+13}{2}$

$Q_1=\dfrac{24}{2}$

$Q_1=12$

And

$Q_3=\dfrac{16+16}{2}$

$Q_3=\dfrac{32}{2}$

$Q_3=16$

The interquartile range is:

$IQR=Q_3-Q_1$

$IQR=16-12$

$IQR=4$

The data values lies outside the interval $[Q_1-1.5IQR,Q_3+1.5IQR]$ are known as outliers.

$[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]$

$[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]$

$[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]$

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0

3 years ago

How to find area of a parallelogram

olganol [36]

Answer:

BxH

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A house and a lot is appraised at $212,400. The value of the house is five times more the value of the lot. What is the house wo

Anuta_ua [19.1K]

The house is worth $177,000
the lot is worth $35,400

5 0

3 years ago

IMMEDIATELY I NEED THIS DONE IN FIVE MINUTES Match the values with the equivalent percentages.

makkiz [27]

Answer:

35% of 150=52.5

20% of 50=10

10% of 20=2

45% of 200=90

6 0

2 years ago

for every 140 feet that kelly rides on her bicycle, the wheels turn 20 times. about how many times do the wheels turn in 5 miles

lana [24]

Answer:

184800 times

Step-by-step explanation:

The first step is to find out how many times the wheels turn in one foot. The ratio of rotations per minute is 20:140. This can be simplified to 1:7, meaning there is 1/7 of a rotation for every 1 foot.

Next, we need to find out how many times they turn in one mile. The ratio is 1:7, and the 1 needs to become 5280. To do this, multiply both sides of the ratio by 5280. You will get 5280:36960, meaning there is 36960 rotations every mile (the ratio of miles to rotations is 1:36960).

Now, multiply 1:36960 by 5 to get the amount of rotations per every 5 miles. You will get 184800.

Final answer: the wheels turn 184800 times in 5 miles.

4 0

3 years ago