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allochka39001 [22]
3 years ago
10

Find the Mean from the line plot. Show your work and explain how you solved using First, Next, and Last.

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

mean is 5

Step-by-step explanation:

<h2>MEAN</h2>

mean is regarded as the average number of items

<h3>mean formula:</h3>

<em>(sum of terms) / (number of terms)</em>

<h3><u /></h3><h3><u>Firstly</u></h3>

the numbers in the data set are :

3,3,3,4,6,6,7,8

they are already arranged in order, so no need to rearrange.

<h3><u>Next </u></h3>

add the numbers together to find the total :

3 +3 +3 +4 +6+ 6+7 +8

= 40

ALSO,

find how many number of terms they are --- this is 8

Last

use the mean formula to solve :

<em>(sum of terms) / (number of terms)</em>

= 40/8

= 5

<h3><em><u>the mean is the 5 </u></em></h3>
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Compare the scores: a score of 75 on a test with a mean of 65 and a standard deviation of 8 and a score of 75 on a test with a m
LiRa [457]

Answer:

The Zscore for both test is the same

Step-by-step explanation:

Given that :

TEST 1:

score (x) = 75

Mean (m) = 65

Standard deviation (s) = 8

TEST 2:

score (x) = 75

Mean (m) = 70

Standard deviation (s) = 4

USING the relation to obtain the standardized score :

Zscore = (x - m) / s

TEST 1:

Zscore = (75 - 65) / 8

Zscore = 10/8

Zscore = 1.25

TEST 2:

Zscore = (75 - 70) / 4

Zscore = 5/4

Zscore = 1.25

The standardized score for both test is the same.

7 0
3 years ago
Identify two angles that are marked congruent to each other on the diagram below.
Katena32 [7]

Answer:

  ∠ADB ≅ ∠CBD

Step-by-step explanation:

The three arcs at each of D and B identify congruent angles. However, the angles cannot be identified by their vertices alone. The 3-letter designations of the congruent angles are ...

  ∠ADB ≅ ∠CBD

6 0
3 years ago
At the local nursery, 1/4 of the plants for sale are flowers and another 3/5 of them are bushes. What fraction of the plants for
Hitman42 [59]

Answer:

17/20

Step-by-step explanation:

1/4 +3/5 simplify into:

5/20 + 12/20= 17/20

5 0
2 years ago
Find the area of the shaded region.
Citrus2011 [14]

Answer:

pi × 18cm^2

Or approximately,

56.52cm^2 (using 3.14 for pi)

or

56.5487cm^2 (using pi button on calculator)

Step-by-step explanation:

Area of a circle is pi times [radius squared].

All circles are 360°.

Problem can be solved by finding area of whole circle, and then using ratios.

Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2

80° / 360° = Area[shaded] / (pi × 81cm^2)

pi × 18cm^2 = Area[shaded]

((If you read my answer before the edit, I am sorry. I made a calculator error.))

3 0
3 years ago
Find and interpret the mean absolute deviation of the data. Round your answers to the nearest tenth. If necessary 101.5 98.7 95.
lesya692 [45]

Answer:

\bar X = 100.4

And we can calculate the deviations from each value like this:

|101.5-100.4 |=1.1

|98.7-100.4 |=1.7

|95.4-100.4 |=5.0

|92.3-100.4 |=8.1

|109.8-100.4 |=9.4

|104.7-100.4|=4.3

And the mean absolute deviation would be:

MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93

Step-by-step explanation:

For this case we have the following dataset given:

101.5 98.7 95.4 92.3 109.8 104.7

We can calculate the mean with the following formula:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = 100.4

And we can calculate the deviations from each value like this:

|101.5-100.4 |=1.1

|98.7-100.4 |=1.7

|95.4-100.4 |=5.0

|92.3-100.4 |=8.1

|109.8-100.4 |=9.4

|104.7-100.4|=4.3

And the mean absolute deviation would be:

MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93

8 0
3 years ago
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