Portage Learning Math 110 Module 2 Exam
1. During an hour at a fast food restaurant, the following types of sandwiches are
ordered:
Turkey Turkey Cheeseburger Hamburger Fish Chicken
Hamburger Cheeseburger Fish Hambur
...
Portage Learning Math 110 Module 2 Exam
1. During an hour at a fast food restaurant, the following types of sandwiches are
ordered:
Turkey Turkey Cheeseburger Hamburger Fish Chicken
Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken
Chicken Fish Turkey Fish Hamburger Fish
Cheeseburger Fish Cheeseburger Hamburger Fish Fish
Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish
Chicken Cheeseburger Fish Turkey Fish Fish Hamburger
Fish Fish Turkey Chicken Hamburger Fish Cheeseburger
Chicken Chicken Turkey Fish Hamburger Chicken Fish
a) Make a frequency distribution for this data.
b) Make a relative frequency distribution for this data. Include relative percentages on this table.
a.
b.
2. Consider the following data:
430 389 414 401 466 421 399 387 450 407 392 410
440 417 471
Find the 40th percentile of this data.
3. Consider the following data:
{29, 20, 24, 18, 32, 21}
a) Find the sample mean of this data.
b) Find the range of this data.
c) Find the sample standard deviation of this data.
d) Find the coefficient of variation.
a.
4. Suppose that you have a set of data that has a mean of 49 and a standard deviation of 8.
a) Is the point 57 above, below, or the same as the mean. How many standard deviations is 57 from the
mean.
b) Is the point 33 above, below, or the same as the mean. How many standard deviations is 33 from the
mean.
c) Is the point 31 above, below, or the same as the mean. How many standard deviations is 31 from
the mean.
d) Is the point 79 above, below, or the same as the mean. How many standard deviations is 79 from
the mean.
a) The data point 57 is above the mean. Now use the z-score to determine how many standard
deviations57 is above the mean. We are told that the mean is 49 and the standard deviation is 8.
So, the z-score is given by:
The z-score is 1, so the data point 57 is 1 standard deviation above the mean.
b) The data point 33 is below the mean. Now use the z-score to determine how many standard
deviations33 is below the mean. We are told that the mean is 49 and the standard deviation is 8.
So, the z-score is given by:
The z-score is -2, so the data point 33 is 2 standard deviations below the mean (the negative sign
indicatesthat the point is below the mean).
c) The data point 31 is below the mean. Now use the z-score to determine how many standard
deviations31 is below the mean. We are told that the mean is 49 and the standard deviation is 8.
So, the z-score is given by:
The z-score is -2.25, so the data point 31 is 2.25 standard deviations below the mean (the
negative signindicates that the point is below the mean).
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