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2 years ago

Using the given set of numbers find the mean (rounded to the nearest tenth), median,mode and range: 18,19,16,18,14,17,18 and 15

Mathematics

2 answers:

sashaice [31]2 years ago

8 0

Answer:

Mean = 16.9
Mode = 18
Median = 17.5

Step-by-step explanation:

Given data:

18, 19, 16, 18, 14, 17, 18, 15

The data in the ascending order:

14, 15, 16, 17, 18, 18, 18, 19

The mean:

(14 + 15 + 16 + 17 + 18*3 + 19)/8 = 16.9 (rounded)

The median:

(17 + 18)/2 = 17.5 (the average of middle terms)

The mode:

18 (the most repeated number)

Mice21 [21]2 years ago

6 0

Answer:

Mean = 16.9

Mode = 18

Median = 17.5

Step-by-step explanation:

<h2>PLEASE MARK AS BRAINLIEST!!!!!</h2>

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A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard

Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

$\sigma=\frac{0.8}{\sqrt{37}}=0.13$

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69$

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, $P(z > 1.69) = 1 - P(z < 1.69)$

$P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%$

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

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3 years ago

On a coordinate plane the location of 3 points are (0,6) (5,-4) and (-1,-5) where would the fourth point need to be located in o

REY [17]

Answer:

(9.2)

Step-by-step explanation:

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3 years ago

Can someone please help me on this question

Grace [21]

Answer: ? = 72

Step-by-step explanation:

We will set up a proportion to solve.

$\displaystyle \frac{?}{56} =\frac{45}{35}$

Now, we will cross-multiply.

? * 35 = 56 * 45

35? = 2,520

? = 72

3 0

2 years ago

Is 54 divided by 6 equal 0.09

Thepotemich [5.8K]

No the answer is 9 because 54 divided by 9 is 9

4 0

3 years ago

Read 2 more answers

A rectangular garden has vertices at (4, 3), (6, 3), (6, 9), and (4, 9). Plot each vertex of the garden.

kati45 [8]

Answer:

Step-by-step explanation:

A rectangular garden has vertices at

(x = 4, y = 3), (x = 6, y = 3), (x = 6, y = 9), and (x = 4, y = 9).

To plot each vertex of the garden find on the graph the x and y coordinate of the point and mark the point.

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2 years ago