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M 2 : Problem Set
Due No due date
Points 5
Questions 9
Time Limit None
Instructions
Attempt History
Attempt Time Score
LATEST Attempt 1 128 minutes 5 out of 5
Score for this quiz: 5 out of 5
Submitted Aug 22 at 8:46pm
This attempt took 128 minutes.
Question 1
0 / 0 pts
Be sure to familiarize yourself with the following tools. They will be available during your exams.
Statistics_Equation_Sheet
(https://previous.nursingabc.com/Help% 20 Files/Math% 20110 % 20 Introduction% 20 to% 20 Statistics% 20 Formula% 2
Scientific Calcul (https://www.desmos.com/scientific)
The following tutorial video demonstrates how to insert a table. You will need to be able to do this
to complete the following question.
Your Answer: 03: The students in a statistics class have the following majors: a) Make a frequency distribution for this data. b) Make a relative frequency distribution for this data. Include relative percentages on this table. a. Major Frequency
b.) The following tutorial video demonstrates how to insert an equation into your answer. This is important to be able to do to complete the following questions. M 2 : Problem Set: Introduction to Statistics - Key -
Question 2 0 / 0 pts Your Answer: a.) 04: Consider the following set of data: {32, 40, 52, 23, 39} a) Find the mean of this sample. b) Find the median. c) Find the mode of this set. a. b. Arrange the number from small to largest 23,32,39,40, Middle number is 39. Median= 39 c. There is no mode. There is no number repeated more than once
a) The sample mean is given by: b) In order to find the median, we must first put the numbers in ascending order: 15, 21, 21, 32, 78, 80, 84, 90. Notice that there are two “middle” numbers, 32 and 78. The median is the average of these two numbers. Median = (32+78)/2 = 55. c) The number that occurs most is 21. So, the mode is 21. Question 4 0 / 0 pts Your Answer: Consider the following data: 323 412 380 401 280 301 317 440 297 371 353 394 427 399 375 438 329 309 361 340 a) Find the 60th and 70th percentile of this data. b) Find the quartiles for this data. Arrange the number from small to large 280,297,301,309,317,323,329,340,353,361,371,375,380,394,399,401,412,427,438, a. = 12th value is 375 60th percentile = 14th value is 394 70th percentile= 394 b.
There are a total of twenty numbers, so n= 20. In order to find the percentiles, we must put the numbers in ascending order: 280 297 301 309 317 323 329 340 353 361 371 375 380 394 399 401 412 427 433 440 a) For the 60th percentile: Therefore, the 60th percentile index for this data set is the 12th observation. In the list above, the 12th observation is 375. For the 70th percentile: Therefore, the 70th percentile index for this data set is the 14th observation. In the list above, the 14th observation is 394. b) In order to find the quartiles, first find the median, M, of the data (note that this median is also Q ): Next, separate the data into two halves, those values below the median and those values above the median: Bottom half: 280 297 301 309 317 323 329 340 353 361 Top half: 371 375 380 394 399 401 412 427 433 440 Find the median of the bottom half, which is Q : Find the median of the top half, which is Q : =
The standard deviation is given by: d) The coefficient of variation is given by: Question 6 0 / 0 pts Your Answer: Solution. Given a data point x, the z-score tells us how many standard deviations x is from the mean. Question 7 0 / 0 pts Your Answer: Given a data point x, what does the z-score tell us about x? The z-score can tell us how many points below or above the data point x is. Suppose that you have a set of data that has a mean of 34 and a standard deviation of 6. a) Is the point 28 above, below, or the same as the mean. How many standard deviations is 28 from the mean. b) Is the point 46 above, below, or the same as the mean. How many standard deviations is 46 from the mean. c) Is the point 43 above, below, or the same as the mean. How many standard deviations is 43 from the mean. d) Is the point 20 above, below, or the same as the mean. How many standard deviations is 20 from the mean. a. 28-34/6= -
a) The data point 28 is below the mean. Now use the z-score to determine how many standard deviations 28 is below the mean. We are told that the mean is 34 and the standard deviation is 6. So, the z-score is given by: The z-score is -1, so the data point 28 is 1 standard deviation below the mean (the negative sign indicates that the point is below the mean). b) The data point 46 is above the mean. Now use the z-score to determine how many standard deviations 46 is above the mean. We are told that the mean is 34 and the standard deviation is 6. So, the z-score is given by: The z-score is 2, so the data point 46 is 2 standard deviation above the mean (the positive sign indicates that the point is above the mean). c) The data point 43 is above the mean. Now use the z-score to determine how many standard deviations 43 is above the mean. We are told that the mean is 34 and the standard deviation is 6. So, the z-score is given by: The z-score is 1.5, so the data point 43 is 1.5 standard deviation above the mean (the positive sign indicates that the point is above the mean). d) The data point 20 is below the mean. Now use the z-score to determine how many standard deviations 20 is below the mean. We are told that the mean is 34 and the standard deviation is 6. So, the z-score is given by: 28 is 1 standard deviation below the mean b. 46-34/6= 46 is 2 standard deviation above the mean c. 43-34/6=1. 43 is 1.5 standard deviation above the mean d. 20-34/6= -2. 20 is 2.33 standard deviation below the mean
Any value less than 145.25 or greater than 647.25 are considered outliers. 17, 42, 2321, and 2435 are outliers. Question 9 5 / 5 pts Your Answer: Quiz Score: 5 out of 5 As a reminder, the questions in this review quiz are a requirement of the course and the best way to prepare for the module exam. Did you complete all questions in their entirety and show your work? Yes
