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Lelechka [254]
2 years ago
5

Find the mean, median, and mode(s) of the data. Do not round.

Mathematics
2 answers:
ZanzabumX [31]2 years ago
5 0

The Mean, Median and Mode of the given set of data ( 11, 12, 32, 43, 45, 48, 48, 48 ) are 35.875, 44 and 48 respectively.

<h3>What is Arithmetic mean?</h3>

Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.

Mean = Sum total of the number ÷ n

Where n is number of numbers

Given the sets;

  • 48, 12, 11, 45, 48, 48, 43, 32
  • n = 8

First, we arrange in ascending order.

11, 12, 32, 43, 45, 48, 48, 48

Mode

Mode is the number with the highest appearance

Number with highest appearance  or frequency is 48 ( 3 appearance )

Mode = 48

Median

Middle numbers fall between 43 and 45

Median = ( 43 + 48 ) / 2

Median = 88 / 2

Median = 44

Mean

We add the numbers

11 + 12 + 32 + 43 + 45 + 48 + 48 + 48 = 287

Mean = Sum total of the number ÷ n

Mean = 287 /  8

Mean = 35.875

Therefore, the Mean, Median and Mode of the given set of data ( 11, 12, 32, 43, 45, 48, 48, 48 ) are 35.875, 44 and 48 respectively.

Learn more about arithmetic mean here: brainly.com/question/13000783

#SPJ1

Ratling [72]2 years ago
3 0

The mean , median and mode of the data are 35.875, 44 and 48

<h3>How to find mean , median and mode?</h3>

The mean, median and mode can be found as follows:

mean = sum of terms / number of terms

mean = 48 + 12 + 11 + 45 + 48 + 48 + 43 + 32 / 8

mean = 287 / 8 = 35.875

11, 12, 32, 43, 45, 48, 48, 48

The median is the centre number.

Hence,

median = 43 + 45 / 2 = 88 / 2 = 44

The mode is the number that appears most which is 48.

learn more on mean, median and mode here:brainly.com/question/9588526

#SPJ1

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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
What’s 19,975 divided by 25 show your work
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the answer to the question is 799

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3 years ago
Someone help please!!!!
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Answer:

60cm²

Step-by-step explanation:

as the green and blue box are squares they will have the same sides, length.

so all the sides in the green and blue squares are 3

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for the top length of the whole shape is = 7 +3 = 10

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so then you do 6 x 10 = 60

60 cm² is the answer :)

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3 years ago
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