# If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

For this case we have the following data values:

0.95,0.73,0.63,0.91,1.32,1.48,0.63,1.23,0.91,1.41,0.67

The first step on this case is order the datase on increasing way and we got:

0.63 0.63 0.67 0.73 0.91 0.91 0.95 1.23 1.32 1.41 1.48

The range is defined as

And if we replace we got:

The sample standard deviation is given by this formula:

And if we replace we got

And the sample variance is just the standard deviation squared so we got:

And for the last question about : If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?

We can conclude this:

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

And taking the square root we got the sample deviation:

Step-by-step explanation:

For this case we have the following datset given:

0.83 1.39 1.39 1.03 0.66 1.26 1.39 1.18 1.41 1.19 1.15

We need to find the range, and the range is defined by:

And replacinng we got:

Then we can find the sample variance, but firt we need to find the sample mean with this formula:

And replacing we got:

Now we can find the sample variance with this formula:

And replacing we got:

And taking the square root we got the sample deviation:

D.No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

(a) Range is the difference between the smallest and largest observation.

Here Smallest observation = 0.63

and Largest observation = 1.48

⇒ Range = 0.85

(b) Standard Deviation is calculate by,

where, is mean of the observation.

Here, Mean = 0.988

⇒ Standard Deviation = 0.313

(c) Variance is the square of Standard deviation.

Thus, Variance = (Standard Deviation)² = 0.098

(d) Here last option(D) is true i.e. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.