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miv72 [106K]
3 years ago
7

What makes the range less desirable than the standard deviation as a measure of? dispersion?

Mathematics
1 answer:
pogonyaev3 years ago
7 0
Given a set of numbers, the range is simply defined as the smallest number subtracted from the largest number. Thus, it is very crude measure of dispersion since it only takes into account two numbers. The standard deviation is a measure of how distant each data point is from the mean. Thus it takes into account the dispersion of all numbers in the data set, making it more desirable. 
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Steel Factory Workers Ages
igor_vitrenko [27]

Solution: We are given the population mean =42

Now, in order to find which shift's mean is closest to population mean, we will find the mean of each shift.

The mean of shift 1 is:

Mean=\frac{18+25+56+42+29+38+54+47+35+30}{10}=\frac{374}{10}=37.4

The mean of shift 2 is:

Mean=\frac{23+19+50+49+67+34+30+59+40+33
}{10}=\frac{404}{10}=40.4

The mean of shift 3 is:

Mean=\frac{19+22+24+40+45+29+33+29+39+59  }{10}=\frac{339}{10}=33.9

The mean of shift 4 is:

Mean=\frac{21+23+25+40+35+19+70+40+22+23  }{10}=\frac{318}{10}=31.8

We clearly see the mean of shift 2 is close to the population mean. Hence the option B) Shift 2 is correct.

7 0
3 years ago
Read 2 more answers
What is 7 x 4 pleez i nid help
rewona [7]

Answer: 28

Step-by-step explanation:

5 0
3 years ago
1. Captain Salamander has 3 pet frogs called Dorris, Borris and Morris. He weighs them to check they are the right weight. Howev
Paul [167]

Answer:

Their weights are:

Dorris = 5 lbs

Borris = 7 lbs

Morris = 9 lbs

Step-by-step explanation:

Let the weights of the frogs be:

Dorris = d

Borris = b

Morris = m

given:

d + b = 12 - - - (1)

b + m = 16 - - - (2)

d + m = 14 - - - (3)

from (3)

d + m = 14

m = 14 - d - - - (4)

putting the value of m into equation 2:

b + m = 16

b + (14 - d) = 16

b - d + 14 = 16

b - d = 16 - 14

b - d = 2

b = 2 + d - - - - (5)

putting the value of 'b' in equation 5 into equation (1)

d + b = 12 - - - (1)

where: b = 2 + d - - -  (5)

∴ d + (2 + d ) = 12

d + d + 2 = 12

2d = 12 - 2

2d = 10

∴ d = 10 ÷ 2 = 5

d = 5

putting the value of 'd' into eqn (5)

b = 2 + d - - - - (5)

where d = 5

b = 2 + 5 = 7

b = 7 lbs

to find 'm', let us use eqn (3)

d + m = 14 - - - (3)

where d = 5

∴ 5 + m = 14

m = 14 - 5 = 9

m = 9 lbs

Therefore their weights are:

Dorris = 5 lbs

Borris = 7 lbs

Morris = 9 lbs

5 0
3 years ago
Someone please help! Its due today! D:
natulia [17]

Answer:

B

Step-by-step explanation:

trust me it is i know because it is easy

3 0
3 years ago
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Tommy decided to also make a sampler can with a diameter of 2 inches and a height of 3 inches. Tommy calculated that the area of
Olegator [25]

Explanation:

Tommy calculated the area of the base by squaring the <em>diameter</em>, not the radius. If he's going to use the diameter in the area formula, he needs to divide the result by 4.

  A = πr² = πd²/4

7 0
3 years ago
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