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3 years ago

Which data set has the same standard deviation as the data set {1, 1, 3, 5, 8}?

Mathematics

2 answers:

liberstina [14]3 years ago

7 0

B. {2, 2, 4, 6, 9}
Because they both follow this sequence:
+0, +2, +2, +3

just olya [345]3 years ago

6 0

Answer:

b. {2, 2, 4, 6, 9}

Step-by-step explanation:

The value of standard deviation does not get affected if we add constant number in every observation.

In the given data set if we add 1 in every observation then we will get same value as given in option (b).

Thus, the standard deviation of both the observation is same.

Also, we didn't get other options by addition and subtraction of any constant value.

Further, Standard Deviation is used to measure spread of the data and it is defined as square of the distance between the observation and mean of the distribution.

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Usimov [2.4K]

Answer:

c = 96°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

c is an exterior angle, thus

c = 50° + 46° = 96°

8 0

3 years ago

2) The results of a 2012 Pew Foundation survey of high school and middle school teachers is given in the pie chart. A student as

Serggg [28]

Answer:

The calculated value z = 9.4451 > 1.96 at 5% level of significance.

Null hypothesis is rejected at 5% level of significance

yes there is difference in the distribution of types of cell phones for the teachers in 2018 at a 5% level of significance

Step-by-step explanation:

Explanation:-

Step:- (1)

The results of a 2012 Pew Foundation survey of high school and middle school teachers is given in the pie chart.

A student asked a random sample of teachers in 2018 and found 165 had smart-phones, 80 had a cell phone

The first sample proportion

$p_{1} = \frac{80}{165} = 0.4848$

A student asked a random sample of teachers in 2018 and found 165 had smart-phones,5 had no cell phone

The second sample proportion

$p_{2} = \frac{5}{165} = 0.03030$

Step :-(ii)

Null hypothesis :H₀: Assume that there is no difference in the distribution of types of cell phones for the teachers in 2018

H₀ : p₁ = p₂

Alternative hypothesis :H₁

H₁ : p₁ ≠ p₂

Level of significance : ∝=0.05

The tabulated value z=1.96

Step:-(iii)

The test statistic

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } } +\frac{1}{n_{2} } )} }$

where $p = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} + n_{2} }$

q = 1-p

In given data n₁ = n₂ = n

$p = \frac{165 (0.4848)+165 (0.03030 }{165 + 165}$

on calculation , we get p = 0.2655

q =1-p = 1-0.2655

q = 0.7345

$Z = \frac{0.4848 -0.030}{\sqrt{0.2655X0.7345(\frac{1}{165 } } +\frac{1}{165} )} }$

Z = 9.4451

The calculated value z = 9.4451 > 1.96 at 5% level of significance.

Conclusion:-

Null hypothesis is rejected at 5% level of significance

yes there is difference in the distribution of types of cell phones for the teachers in 2018 at a 5% level of significance

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4 years ago

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Simora [160]

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in fraction form might make more sense. 3\4 - 4\4 = 1/4 minus that from Amy and she'll finish together with Alicia 4 hours quicker being 8hours.

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3 years ago

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