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4 years ago

7. Find the mean, median, mode and range of the data set after you perform the given operation on each data value.

Mathematics

2 answers:

nydimaria [60]4 years ago

4 0

7.
Mean = 104
Median = 14
Mode = 14
Range = 30
8.
Mean = 20.41
Median = 17
Mode = 13
Range = 8

Nana76 [90]4 years ago

3 0

Answer with Step-by-step explanation:

Mean=sum of all observations/number of observations

Median=middle term of all observations arranged in ascending order

Mode=observation with highest frequency(the observation which is repeated so many times)

Range=largest observation subtracted by the smallest

7) 14, 7, 34, 29, 14, 6

multiply by 6

84,42,204,174,84,36

Arranging in ascending order

36,42,84,84,174,204

Mean=104

Median=84

Mode=84

Range=168

8) 13, 17, 15, 18, 21, 13, 20

add 3.7

16.7,20.7,18.7,21.7,24.7,16.7,23.7

arranging in ascending order

16.7,16.7,18.7,20.7,21.7,23.7,24.7

Mean=20.41

Median=20.7

Mode=16.7

Range=8

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Given parallelogram MNOP, MA = x + 5, AO = y + 2, PA = 3x and AN = 2y

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Answer:

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Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

Bisect each other
Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

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Step-by-step explanation:

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