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2 years ago

Find and interpret the mean absolute deviation of the data.

Mathematics

1 answer:

Zinaida [17]2 years ago

3 0

Answer:

The mean absolute deviation is 4

Interpertation: The average distance between each data value and the mean is 4 which is the variation in the data set so you can understand how "spread out" each data point is from each other

Step-by-step explanation:

The mean absolute deviation is a measure of how much a data set varies.

<em>Step 1: Compute the mean</em>

mean = the sum of all the terms / number of terms

mean = 94 + 86 + 95 + 99 + 88 + 90 / 6

= 552 / 6

= 92

The mean is 92

<em>Step 2: Finding the absolute deviation</em>

You would take each number in the data set and subtract it from the mean, take the absolute value. After you take the sum of the absolute data values

= |94 - 92| + |86 - 92| + |95 - 92| + |99 - 92| + |88 - 92| + |90 - 92|

= |2| + |- 6| + |3| + |7| + |- 4| + |- 2|

= 2 + 6 + 3 + 7 + 4 + 2

= 24

To find the mean absolute deviation you divided the sum by total number of terms...

24/6 = 4

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set (which was step 1)

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3 years ago

To prepare for a bake-off, Chad used 520 grams of flour each day for 2 weeks. How many kilograms did Chad use in those 2 weeks?

Shalnov [3]

Answer:

7.280 k

Step-by-step explanation:

Given that 1 g = 0.001 k

If he uses 520 grams of flour each day for 2 weeks, since there are 7 days in a week, the total weight of flour used in two weeks

= 520 g * 2 * 7

= 7280 g

In kilograms

Since

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3 years ago

Identify the frequency of the graph

olya-2409 [2.1K]

ANSWER

$\frac{1}{2}$

EXPLANATION

The frequency of a wave function refers to the number of times the graph repeats its cycle within the interval [0,2π]

We can observe explicitly from the graph that the frequency is half.

The period of the given function is 4π

$\frac{2\pi}{b} = 4\pi$

$b = \frac{2\pi}{4\pi} = \frac{1}{2}$

Hence the frequency is half.

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3 years ago

8.1 = 0.9a, how do you solve?

GrogVix [38]

Answer:

a = 9

Step-by-step explanation:

Simplifying

8.1 = 0.9a

Solving

8.1 = 0.9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.9a' to each side of the equation.

8.1 + -0.9a = 0.9a + -0.9a

Combine like terms: 0.9a + -0.9a = 0.0

8.1 + -0.9a = 0.0

Add '-8.1' to each side of the equation.

8.1 + -8.1 + -0.9a = 0.0 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0

0.0 + -0.9a = 0.0 + -8.1

-0.9a = 0.0 + -8.1

Combine like terms: 0.0 + -8.1 = -8.1

-0.9a = -8.1

Divide each side by '-0.9'.

a = 9

Simplifying

a = 9

5 0

3 years ago

I don't know how to solve it.

Nataly [62]

Step-by-step explanation:

Take the first derivative

$\frac{d}{dx} ( {x}^{3} - 3x)$

$3 {x}^{2} - 3$

Set the derivative equal to 0.

$3 {x}^{2} - 3 = 0$

$3 {x}^{2} = 3$

${x}^{2} = 1$

$x = 1$

$x = - 1$

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).

For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.

Since we are going to Positve to negative slope, we have a local max at x=-1

Plug in -1 for x into the original function

$( - 1) {}^{3} - 3( - 1) = 2$

So the local max is 2 and occurs at x=-1,

For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.

Since we are going to decreasing to increasing, we have minimum at x=1,

Plug in 1 for x into original function

${1}^{3} - 3(1)$

$1 - 3 = - 2$

So the local min occurs at -2, at x=1

8 0

2 years ago