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tia_tia [17]
2 years ago
14

Find and interpret the mean absolute deviation of the data.

Mathematics
1 answer:
k0ka [10]2 years ago
7 0

Using it's concept, it is found that:

  • The <em>mean absolute deviation</em> is of 26.
  • It means that the values differ from the mean by an average of 26.

<h3>What is the mean absolute deviation of a data-set?</h3>

The mean of a data-set is given by the <u>sum of all observations divided by the number of observations</u>.

The mean absolute deviation of a data-set is the <u>sum of the absolute value of the difference between each observation and the mean, divided by the number of observations</u>.

The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the data-set is: {101, 115, 124, 125, 173, 165, 170}.

Hence, the mean is:

M = \frac{101 + 115 + 124 + 125 + 173 + 165 + 170}{7} = 139

Then, the mean absolute deviation is:

M_d = \frac{|101-139| + |115-139| + |124-139| + |125-139| + |173-139| + |165-139| + |170-139|}{7} = 26

Hence:

  • The <em>mean absolute deviation</em> is of 26.
  • It means that the values differ from the mean by an average of 26.

You can learn more about mean absolute deviation at brainly.com/question/3250070

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Oksanka [162]

Answer:

13:5, or 13 to 5.

Step-by-step explanation:

The 13-to-5 expression can be useful when answering questions about the ratio.

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3 years ago
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Jean is reading a book about astronauts. She reads 3 pages on Monday, 5 pages on Tuesday and 10 pages on Wednesday. What is the
cupoosta [38]

Answer:

6 pages a day

Step-by-step explanation:

3 + 5 + 10 = 18 pages

18 pages / 3 days = 6 pages a day

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3 years ago
the perimeter of the circular base of a cone is 132 cm and its vertical height is 28 cm find the curved surface area total surfa
Elden [556K]

Answer:

i. Curved surface area = 2310 cm^{2}

ii. Total surface area = 3696 cm^{2}

iii. volume = 12936 cm^{3}

Step-by-step explanation:

Perimeter of the circular base = circumference of the circle = 132 cm

circumference of a circle = 2\pir

132 = 2\pir

r = \frac{132}{2\pi }

 = \frac{66}{\pi }

r = 66 x \frac{7}{22}

 = 3 x 7

 = 21

radius = 21 cm

vertical height, h = 28 cm

Thus applying the Pythagoras theorem,

l^{2} = h^{2} + r^{2}

  = 28^{2} + 21^{2}

  = 784 + 441

  = 1225

l = \sqrt{1225}

l = 35 cm

The slant height is 35 cm.

i. Curved surface area = \pirl

                           = \frac{22}{7} x 21 x 35

                           = 22 x 3 x 35

                           = 2310

curved surface area of the cone is 2310 cm^{2}.

ii. Total surface area = \pi r^{2} + \pirl

                                  = \pir(r + l)

                                  = \frac{22}{7} x 21 (21 + 35)

                                  = 22 x 3 x 56

                                  = 3696

The total surface area of the cone is 3696 cm^{2}.

iii. volume of a cone = \frac{1}{3}\pi r^{2}h

                                  =  \frac{1}{3} x \frac{22}{7} x 21^{2} x 28

                                   = 12936

The volume of the cone is 12936 cm^{3}

5 0
3 years ago
A craftsman makes a circular table with a radius of 55
Rudik [331]

Answer:

Hey mate here is your answer...

Step-by-step explanation:

smaller circular table to be made

with a diameter only half as big... and diameter of big table is (2*55)= 110cm.... So half diameter of big is (110/2)= 55cm

therefore, diameter of smaller table is 55cm and radius of it's (55/2)= 27.5cm

circumference of circle = 2πr

= 2*3.14*27.5

= 172.7 cm = 27.5cm

hope it helps you ❣️

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$210 is what she has in her bank account after 5 weeks.
18*5 =90
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