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3 years ago

Find the mean, median, and mode of 3, 5, 1, 5, 1, 1, 2, 3, 15 after each data value increases by 4.

Mathematics

1 answer:

tankabanditka [31]3 years ago

5 0

<h2>Solving for the Mean, Median and Mode of a Data Set</h2><h3>Answer:</h3>

Mean: $8$

Median: $7$

Mode: $5$

<h3>Step-by-step explanation:</h3>

If we increase each element in the data set by $4$ , our new data set will be...

$\{ 7, 9, 5, 9, 5, 5, 6, 7, 19 \}$

The mean of a data set is the sum of all of its elements divided by the number of elements.

Solving for the mean:

$\frac{7 +9 +5 +9 +5 +5 +6 +7 +19}{9} \\ \frac{72}{9} \\ 8$

The median of a data set is just the middle number if and only if the elements of the data set is arranged according to how less to how great each element is.

If we arrange our data set it will be...

$\{ 5, 5, 5, 6, 7, 7, 9, 9, 19 \}$

We can do see that our middle number is $7$ so this our median.

The mode of a data set is the number that repeated the most. We can see in our data set that the number $5$ repeated $3$ times. $6$ and $19$ is $1$ . $7$ and $9$ is $2$ . Since $5$ is the number that repeated the most, this is our median.

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Is the function f(x) =(4)^x -2 an exponential function. If so, identify the base. If not, why not?

Ne4ueva [31]

Answer:

Yes.

Base: 4

Step-by-step explanation:

Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.

7 0

3 years ago

A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

Ratling [72]

Answer:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(10.5,0.3)$