Mod 1 Exam 1
1.Define each of the following: Mod 2 Exam
a) Observation 1. During an hour at a fast food restaurant, the following types of sandwiches are ordered:
b) Element
c) Variable Turkey Turkey Cheeseburger Hamburger Fish Chicken
Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken
Observation- all the information collected for each element in a study Chicken Fish Turkey Fish Hamburger Fish
Element- in a data set, the individual and unique entry about which data has been collected, analyzed and Cheeseburger Fish Cheeseburger Hamburger Fish Fish
Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish
presented in the same manner
Chicken Cheeseburger Fish Turkey Fish Fish Hamburger
Variable- a particular, measurable attribute that the researcher believes is needed to describe the element in Fish Fish Turkey Chicken Hamburger Fish Cheeseburger
their study. Chicken Chicken Turkey Fish Hamburger Chicken Fish
2.Explain outliers a) Make a frequency distribution for this data.
An outlier is a value which is out of place compared to the other values. It may be too large or too small b) Make a relative frequency distribution for this data. Include relative percentages on this table.
compared to the other values
a.
3.Look at the following data and see if you can identify any outliers:
53 786 789 821 794 805 63 777 814 2333 783 811 795 788 780
Outliers: 53 63 2333
4.
a) How many were burgers?
b) How many were fish?
a) Burgers, 2900(0.12)=348 b.
b) Fish, 2900(0.28)=812
, 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.
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 deviations
57 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.
3. Consider the following data:
{29, 20, 24, 18, 32, 21} b) The data point 33 is below the mean. Now use the z-score to determine how many standard deviations
a) Find the sample mean of this data. 33 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:
b) Find the range of this data.
c) Find the sample standard deviation of this data.
The z-score is -2, so the data point 33 is 2 standard deviations below the mean (the negative sign indicates
d) Find the coefficient of variation. that the point is below the mean).
a. c) The data point 31 is below the mean. Now use the z-score to determine how many standard deviations
31 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 sign
indicates that the point is below the mean).
d) The data point 79 is above the mean. Now use the z-score to determine how many standard deviations
79 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 3.75, so the data point 79 is 3.75 standard deviations above the mean.
1.Define each of the following: Mod 2 Exam
a) Observation 1. During an hour at a fast food restaurant, the following types of sandwiches are ordered:
b) Element
c) Variable Turkey Turkey Cheeseburger Hamburger Fish Chicken
Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken
Observation- all the information collected for each element in a study Chicken Fish Turkey Fish Hamburger Fish
Element- in a data set, the individual and unique entry about which data has been collected, analyzed and Cheeseburger Fish Cheeseburger Hamburger Fish Fish
Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish
presented in the same manner
Chicken Cheeseburger Fish Turkey Fish Fish Hamburger
Variable- a particular, measurable attribute that the researcher believes is needed to describe the element in Fish Fish Turkey Chicken Hamburger Fish Cheeseburger
their study. Chicken Chicken Turkey Fish Hamburger Chicken Fish
2.Explain outliers a) Make a frequency distribution for this data.
An outlier is a value which is out of place compared to the other values. It may be too large or too small b) Make a relative frequency distribution for this data. Include relative percentages on this table.
compared to the other values
a.
3.Look at the following data and see if you can identify any outliers:
53 786 789 821 794 805 63 777 814 2333 783 811 795 788 780
Outliers: 53 63 2333
4.
a) How many were burgers?
b) How many were fish?
a) Burgers, 2900(0.12)=348 b.
b) Fish, 2900(0.28)=812
, 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.
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 deviations
57 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.
3. Consider the following data:
{29, 20, 24, 18, 32, 21} b) The data point 33 is below the mean. Now use the z-score to determine how many standard deviations
a) Find the sample mean of this data. 33 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:
b) Find the range of this data.
c) Find the sample standard deviation of this data.
The z-score is -2, so the data point 33 is 2 standard deviations below the mean (the negative sign indicates
d) Find the coefficient of variation. that the point is below the mean).
a. c) The data point 31 is below the mean. Now use the z-score to determine how many standard deviations
31 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 sign
indicates that the point is below the mean).
d) The data point 79 is above the mean. Now use the z-score to determine how many standard deviations
79 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 3.75, so the data point 79 is 3.75 standard deviations above the mean.
