Listed below are foot lengths in inches for 11 randomly selected people taken in 1988. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are the statistics representative of the current population of all people? 9.9 8.7 10.1 9.2 9.2 9.9 0.1 9.4 9.1 9.3 10.2 The range of the sample data is (Type an integer or a decimal. Do not round.) The standard deviation of the sample data is (Round to two decimal places as needed.) people inches2 inches. people. The variance of the sample data is (Round to two decimal places as needed.) Are the statistics representative of the current por A. Since the measurements were made in 15 le? sarily representative of the population today B. The statistics are representative because te snuaru uevation of the sample data is less than 1 C. The statistics are not representative because a smaller sample is needed to represent the population D. The statistics are representative because they are taken from a random sample

And if we replace we got

D. The statistics are representative because they are taken from a random sample

Step-by-step explanation:

For this case we have the following data:

9.9 8.7 10.1 9.2 9.2 9.9 10.1 9.4 9.1 9.3 10.2

The data was colledted from a random sample of people selected in 1988.

We can order the dataset on increasing way and we got:

8.7  9.1  9.2  9.2  9.3  9.4  9.9  9.9 10.1 10.1  10.2

The range is defined as

The mean is defined as:

The standard deviation can be calculated with the following formula:

And if we replace we got

The sample variance would be just the deviation squared:

And since the data comes from a random sample then is representative fo the population data in 1988. So then the best answer for this case would be:

D. The statistics are representative because they are taken from a random sample

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!