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2 years ago

What is the mean absolute deviation of this data set? 26, 31, 32, and 39

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

4 0

Answer:

3.5

Step-by-step explanation:

26, 31, 32, and 39

First we need to find the mean

(26+ 31+ 32+ 39) /4

128/4 = 32

The mean absolute deviation is sum of the positive difference between the number and the mean divided by the number of terms

((32-26)+ (32-31)+ (32-32)+ (39-32)) /4

14/4

3.5

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Find the value of the expression |2x−8| where x=−2.5; 0; 4; 5; 9.5.

Lelu [443]

The absolute value $|x|$ returns the "positive version" of a number. In other words, if $x$ is already positive, then $|x|=x$ . Otherwise, if $x$ is negative, then the absolute value changes its sign, so that it returns positive: $|x|=-x$ .

So, in this case, we have to plug the required values for $x$ in the expression $2x-8$ . Then, if the result is positive we're ok, otherwise we discard the negative sign.

We have:

$x=-2.5 \implies |2x-8| = |-5-8|=|-13|=13$

$x=0 \implies |2x-8| = |0-8|=|-8|=8$

$x=4 \implies |2x-8| = |8-8|=|0|=0$

$x=5 \implies |2x-8| = |10-8|=|2|=2$

$x=9.5 \implies |2x-8| = |19-8|=|11|=11$

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3 years ago

Combine the like terms to create an equivalent expression. 7k-k+19

Harlamova29_29 [7]

Answer:

6k +19

Step-by-step explanation:

7k-k+19

Combine like terms

7k-k = 6k

The expression becomes 6k +19

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3 years ago

Read 2 more answers

The cost of a postage is determined by the following step function: How much would a package that weighs 3 ounces cost, in cents

bija089 [108]

Answer:

I think its C) 43. Let me know what you get

4 0

3 years ago

A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the new

steposvetlana [31]

Answer:

Below.

Step-by-step explanation:

The dimensions will be 10 * 12.

(each new dimension will be 4 times the original)

The new perimeter will be 4 times the original.

The new area will be 16 times the original ( 4 * 4 = 16).

The new perimeter will be 44 cm.

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3 years ago

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Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of t

liraira [26]

Answer:

A.) There is a 3.4% chance that a random sample of 50 expectant mothers will have a mean age of 26.5 years old or greater if the mean age for a first time mother is 26 years old.

Step-by-step explanation:

The mean age for a first time mother is assumed 26 years old (null hypothesis) and p-value of the sample mean (26.5 years ) is found as 0.034.

This is the probability of having first time mother mean age 26.5 or greater under the assumption of null hypothesis.

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3 years ago