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2 years ago

Find the MAD for this set of data

Mathematics

1 answer:

diamong [38]2 years ago

7 0

Using it's concept, it is found that the Mean Absolute Deviation for this set of data is of 0.8.

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

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

The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations. Hence, it is the sum of deviations divided by the number of observations.

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

In this problem, there are 10 observations, and the sum of the deviations is of 1 + 3 + 1 + 1 + 1 + 1 = 8. Hence the MAD is given as follows:

MAD = 8/10 = 0.8.

More can be learned about the Mean Absolute Deviation at brainly.com/question/3250070

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Which expression has a value of -2? *<br> O 1-4+121<br> O 121 +1-41<br> O 141-121<br> O 1-21-1-41

irga5000 [103]

Answer:

None.

Step-by-step explanation:

1 - 4 + 121

= -3 + 121

= 118

121 + 1 - 41

= 122 - 41

= 81

141 - 121

= 20

1 - 21 - 1 - 41

= -20 - 1 - 41

= -21 - 41

= -62

None of the expressions have a value of -2.

6 0

3 years ago

Factor a number, variable, or expression out of the polynomial shown below.

katen-ka-za [31]

Your answer is B.

Just take what is being multiplied by (10x-7) and put it together to get
(x+11)(10x-7)

Hope this helps :-)

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3 years ago

How do I do -4p-(1-6p)

patriot [66]

Answer:

2p-1

Step-by-step explanation:

-4p-(1-6p)

when there is "-" in front of an expression, change the sign of each term of the expression.

-4p -1 + 6p

-4p + 6p =2p

2p -1

8 0

3 years ago

....................... Plz

vesna_86 [32]

Answer:

2/5 (x-1)=15 (x=7)

7 (1+3m)=49 (m=2)

6 0

3 years ago

Read 2 more answers

An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of

Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = $\pi r^{2} \frac{h}{3}$

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

$r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm$

We will now find the volume of the cone.

Volume of cone $\pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}$

We know the density of ice is 0.93 grams per $1cm^{3}$

$1cm^{3} =0.93g\\\frac{168175\pi }{24} cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g$ (Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = $\pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}$

Volume of cone being melted = New Volume - Original volume

= $\frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}$

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = $\pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}$

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = $5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}$

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= $\frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}$

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0

2 years ago