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4 years ago

Let x = 20. Which expression has a value greater than 4x−10 ? 5x−100 8(x−10) 5(2x−26) 5x−30

Mathematics

1 answer:

saul85 [17]4 years ago

5 0

Answer:

8(x-10)

Step-by-step explanation:

When the calculation is repetitive, I like to let a calculator or spreadsheet do it. The value of the given function is

4·20 -10 = 70

Only the expression 8(x-10) = 8(20-10) = 80 has a larger value for x=20.

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<em>Comment on this solution</em>

It is actually fewer keystrokes to copy the numbers into a calculator, but getting a record of results can be difficult.

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Answer:

Option a) Mean

Mean is affected a lot by the change in the last observation as the median remains the same.

Step-by-step explanation:

we are given the following in the question:

Data set A: 64, 65, 66, 68, 70, 71, 72

Data set B: 64, 65, 66, 68, 70, 71, 720

For data set A, the mean and median are 68.

For data set B:

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1124}{7} = 160.57$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data:

64, 65, 66, 68, 70, 71, 720

$\text{Median} = \dfrac{7+1}{2}^{th} \text{ term} = 4^th\text{ term} = 68$

Clearly, 720 is the is a outlier.

As seen mean is affected a lot by the change in the last observation as the median remains the same.

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