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3 years ago

Find the mean, median, mode, and range for each of the following sets of numbers

Mathematics

1 answer:

Sidana [21]3 years ago

8 0

Answer:

The mean - $45\dfrac{2}{7};$ the median - 35, the mode - 27, the range - 47.

Step-by-step explanation:

Arrange the set of data (31,74,27,58,65,27,35) in ascending order:

27, 27, 31, 35, 58, 65, 74.

The mean is the usual average, so add aal numbers and then divide by the number of numbers:

$\dfrac{27+27+31+35+58+65+74}{7}=\dfrac{317}{7}=45\dfrac{2}{7}.$

The median is the middle value. The middle value in the row 27, 27, 31, 35, 58, 65, 74 is 35.

The mode is the number that is repeated more often than any other, so 27 is the mode.

The largest value in the set is 74, and the smallest is 27, so the range is 74 – 27 = 47.

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Sphinxa [80]

The valid probability distributions are the ones in options C and D.

<h3>Which of the following are valid probability distributions?</h3>

For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:

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So, for the first rule we can discard the first option, where we have negative probabilities.

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If you want to learn more about probability:

brainly.com/question/25870256

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1 year ago

The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.

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Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16

Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
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The numbers are 16 and 37</span>

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