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sergij07 [2.7K]
2 years ago
6

Find the standard deviation and variance for the following data. These are the heights (cm) of 5

Mathematics
1 answer:
Brut [27]2 years ago
8 0

The standard deviation is 6.09

The variance is 37.04.

<h3>What is the standard deviation and variance?</h3>

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

In order to determine the standard deviation, take the following steps:

  • Determine the mean of the observation: (162 + 166 + 179 + 170 + 175) / 5 = 170.40

  • Determine the difference between each value and the mean and then square the result:

(162 - 170.40)² + (166-  170.40)² + (179 -  170.40)² + (170 -  170.40)² + (175 -  170.40)²

70.56 + 19.36 + 73.96 + 0.16 + 21.16 = 185.20

  • Determine the mean of the sum of the squared differences and then find the square root of the mean:

√185.20 / 5 = 6.09

Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset.

6.09² = 37.04

To learn more about standard deviation, please check: brainly.com/question/26201837

#SPJ1

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2

Step-by-step explanation:

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3 years ago
Half of a set of the parts are manufactured by machine A and half by machine B. Ten percent of all the parts are defective. Six
baherus [9]

Answer:

The probability that a part was manufactured on machine A is 0.3

Step-by-step explanation:

Consider the provided information.

It is given that Half of a set of parts are manufactured by machine A and half by machine B.  

P(A)=0.5

Let d represents the probability that part is defective.

Ten percent of all the parts are defective.

P(d) = 0.10

Six percent of the parts manufactured on machine A are defective.

P(d|A)=0.06

Now we need to find the probability that a part was manufactured on machine A, and given that the part is defective :

P(A|d) =\frac{P(A \cap d)}{P(d)}

P(A|d) =\frac{P(d|A)\times P(A)}{P(d)}\\P(A|d)= \frac{0.06\times 0.5}{0.10}

P(A|d)= 0.3

Hence, the probability that a part was manufactured on machine A is 0.3

8 0
3 years ago
How do you break this down percent proportion showing work withIs/of=%/100
bixtya [17]

20% of 56

Let the number be x

Solving

\begin{gathered} \frac{x}{56}=\frac{20}{100} \\ \Rightarrow x=11.2 \end{gathered}

The answer is 11.2.

6 0
1 year ago
My first ever question on this site. Hope i will get my answer as i have answer others.
Neko [114]
632=.60 x (it is important to convert the percentage to decimal by dividing by 100) 
632/.60=x
x= 1053.33
x is your original price
the actual answer is 1053.3333(3 repeating) but since it is money you cut it off at 2 decimal points. 
6 0
3 years ago
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Write an equation for the line of fit for this data in the form y=mx+b where x is latitude and y is temperature.
notka56 [123]

Answer:

y = -x + 115

Step-by-step explanation:

Given

See attachment for graph

Required

The equation of best fit

First, we pick two corresponding points on the graph,

We have:

(x_1,y_1) =(55,60)

(x_2,y_2) =(45,70)

Calculate slope (m)

m = \frac{y_2 -y_1}{x_2 - x_1}

This gives:

m = \frac{70 - 60}{45 - 55}

m = \frac{10}{-10}

m = -1

The equation is the calculated using:

y = m(x - x_1) + y_1

This gives

y = -1(x - 55) + 60

Open bracket

y = -x + 55 + 60

y = -x + 115

5 0
3 years ago
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