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alisha [4.7K]
3 years ago
7

Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth. 6, 7, 19, 7, 18, 7

Mathematics
2 answers:
Jobisdone [24]3 years ago
7 0

Answer:

The mean is 10.7 and the standard deviation is 5.6.

Step-by-step explanation:

To find the mean, add together all of the data and divide by the number of data points:

(6+7+19+7+18+7)/6 = 64/6 = 10.7

To find the standard deviation, subtract each data point from the mean, square them and find the sum:

(6-10.7)²+(7-10.7)²+(19-10.7)²+(7-10.7)²+(18-10.7)²+(7-10.7)²

=(-4.7)²+(-3.7)²+(8.3)²+(-3.7)²+(7.3)²+(-3.7)²

=22.09+13.69+68.89+13.69+53.29+13.69 = 185.34

Next divide this by 6, the number of data points:

185.34/6 = 30.89

Lastly, take the square root:

√30.89 = 5.6

Butoxors [25]3 years ago
3 0
Let μ be the average value and σ the standard deviation.
 The answer obtained when entering the data supplied in a calculator are: Size of the population:
 n = 6.
 For the average of the population:
 μ = 10.67.
 For the standard deviation of the population:
 σ = 5,558.
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3 years ago
a person invests $2560 in an account that earns 5.2% annual interest. find when the value of the investment reaches $6000
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4 0
3 years ago
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5 0
2 years ago
The probability that aperson living in a certaincity owns a dog is estimated to be 0.3. Find the probabilitythat the tenth perso
allochka39001 [22]

The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051

Given,

Consider the interview of a person is a trial.

Lets consider it success if a person  owns a dog and consequently , a person without a dog will be a failure.'

Let the random variable X represent the number of persons to be interviewed to get 5 dog owner: in other words, to get 5 successors.

Probability of a success in each trial is p = 0.3. Therefore probability of a failure in each trial is q = 1 - p = 0.7 .

Because trials are independent. X has a negative binomial distribution with parameters k = 5, p = 0.3

P(X =x ) = b(x: k, p) = [(x-1)(k-1)] p^kq^r^-^k

where, x = k , k + 1 , k + 2......(1)

Now, Lets find the probability that the tenth person randomly interviewed in that city is the fifth one to own a dog

Using equation (1), we get:

P(X = 10) = b(10: 5, 0.3)

                = [(10-1) (5 - 1)](0.3)^5(0.7)^1^0^-^5

               = [(9)(4)] (0.3)^5(0.7)^1^0^-^5

               = 0.05146

Hence, The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051

Learn more about Probability at:

brainly.com/question/743546

#SPJ9                                  

4 0
9 months ago
Fill in the common equivalents.<br> 1.) 662/3% = ?/?
baherus [9]
3% is the same as 0.03
Therefore, 662/3% = 662/0.03
5 0
2 years ago
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