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Mekhanik [1.2K]
3 years ago
11

The number of degrees in the

Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0

Answer:

540 degrees

Step-by-step explanation:

Triangles ( 3 sides )

180 degrees

Squares ( 4 sides )

360 degrees

Pentagon ( 5 sides)

540 degrees

Hexagon ( 6 sides )

720 degrees

Any Polygon can be calculated using this formula:

n = number of sides

(n - 2) * 180 degrees

*Note, this is only for the sum of the interior angles. Exterior angles on polygons are ALWAYS equal to 360 degrees.

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Step-by-step explanation:

In this question first, we arrange the value in ascending order that are:

307,311,321,322,354,363,377,406,425,435,461,464,474,499,505,513,517,534,548

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Average = \frac{(425 +435)}{2} = \frac{(860)}{2} =430

Because as medium stands at 10.5 that median is as below 10 are greater than the level.

Q_1 often falls throughout the ordered BELOW average is = \frac{(n+1)}{2} place.

\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}ordered position

Average 5^{th} \ and \ 6^{th}  location findings

Q_1 = \frac{(354+363)}{2} = \frac{(717)}{2}= 358.5

In  = \frac{(n+1)}{2} the ordered place, Q3 always falls ABOVE the median.

\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th} ordered At median ABOVE 

Consequently Q_3 falls between 5^{th} \ and \ 6^{th} ABOVE the median position

15^{th}\  and \ 16^{th}place average of observations

\to Q_3 = \frac{(499+505)}{2}=\frac{(1004)}{2}  = 502

\to IQR = Q_3 - Q_1= 502-358.5= 143.5  

\to \text{Upper fence} = Q_3 + 1.5 \times IQR= 502 + 1.5 \times 143.5 = 717.25

4 0
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