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Stells [14]
2 years ago
12

Calculating Mean Absolute Deviation

Mathematics
2 answers:
mezya [45]2 years ago
4 0

Answer:mean 33

Step-by-step explanation:

mad 6

Rus_ich [418]2 years ago
3 0

Answer:

mean =33

mad  = 6

Step-by-step explanation:

First we need to find the mean

Add up all the numbers and divide by the number of numbers)

(29+ 20+ 36+ 44+ 30+ 32+ 40)/7

231/ 7

33

To find the mean absolute deviation

take the positive difference  for each term and then divide by the number of terms

((33-29)+ (33-20)+ (36-33)+ (44-33)+ (33-30)+ (33-32)+ (40-33))/7

42/7

6

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Answer:

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Step-by-step explanation:

a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:

The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.

The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2

The larger exterior arc (m∠BD) = 170°

The small exterior arc (m∠CA) = 70°

m∠BPD = m∠BD + m∠CA/2

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b) We are to find m∠BC + m∠AD

The sum of exterior angles in a circle = 360°

360° = m∠BD + m∠CA + m∠BC + m∠AD

360° = 170° + 70° + m∠BC + m∠AD

360° = 240 + m∠BC + m∠AD

360 - 240° = m∠BC + m∠AD

Thererefore,

m∠BC + m∠AD = 120°

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