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Mathematics

2 answers:

Rainbow [258]3 years ago

4 0

For the first option, the range is a measure of variability which measures the spread of the data set from the least value to the greatest value, but it does not take into account the variability of the other data values of the data set. The range is easily affected by the presence of outliers (data points that are away from other data points). Thus the range is regarded as a weak measure of variability and is not used when other measures of variability are available. Thus, that the range of the two data sets are equal does not mean that the data sets have the same variability. Therefore, the first option is not the correct answer.

For the second option, the median is not a measure of variability. Thus, that a data set has a greater median than another data set does not mean that the data set would have a greater variability. Therefore, the second option is not the correct answer.
For the third option, the inter-quartile range (IQR) is a better measure of variability than the range because it takes into account more data points than the range. Now, because, the the IQR of Team 2 is less than the IQR of Team 1, this shows that Team 1 have greater variability than Team 2 and thus the conclusion of the coaches are inaccurate. Therefore, the third option is the correct answer.

For the fourth option, the mean absolute deviation, MAD, is a better measure of variability than the IQR because it takes into account all the points of the data set. While IQR measures variability with respect to the median, MAD measures variability with respect to the mean. Because we are told that the data sets are not symmetrical, the median will be a better measure of the center than the mean, thus the IQR will present a better measure of the variability of the data sets. Thus, though the MAD for Team 2 was calculated to be a larger number than the MAD for Team 1, the information can be misleading in arriving at a conclusion on which data set has more variability because the data sets are not symmetrical. Therefore, the fourth option is not the correct answer.

DochEvi [55]3 years ago

3 0

Answer:

It is the third option

Step-by-step explanation:

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Smallest to biggest 0.43,3/7,43.8%,7/16

Snezhnost [94]

First, we need to convert all the givens to decimal numbers. This will ease the arrangement process.
0.43 is already given as a decimal
3/7 is equal to 0.428
43.8% is equal to 0.438
7/16 is equal to 0.4375

Now, it has become easy to arrange the givens from smallest to biggest as follows:
0.428 , 0.43 , 0.4375 , 0.438

Changing the decimals back to the given form, we will find that the arrangement from the smallest to the biggest is as follows:
3/7 , 0.43 , 7/16 , 43.8%

8 0

3 years ago

The cost in dollars of producing x vehicles for a company is given by C(x)=1200x+5500

GarryVolchara [31]

The rate of change represents the variable production cost rate. The production cost is increased in 1200 units per each additional manufactured car.

<h3>Interpretation of a linear function</h3>

Let be $C$ and $x$ the production cost and the number of vehicles produced, it there is a linear relationship between the two variables, then we have the following formula:

$C(x) = \dot r \cdot x + C_{o}$ (1)

Where:

$C_{o}$ - Fixed production costs.
$\dot r$ - Variable production cost rate.

In a nutshell, the rate of change represents the variable production cost rate. The production cost is increased in 1200 units per each additional manufactured car. $\blacksquare$