University of Phoenix Material
Week 2 Practice Worksheet
Prepare a written response to the following questions.
Chapter 3
1. For the following scores, find the mean, median, and the mode. Which would be the most appropriate measure for this data set?
2, 2, 0, 5,1, 4,1, 3, 0, 0, 1, 4, 4, 0,1, 4, 3, 4, 2, 1
2. Based on the scale of measurement for each variable listed below, which measure of central tendency is most appropriate for describing the data?
a. The time (in years) it takes a sample of students to graduate college
b. The blood type (e.g., Type A, B, AB, O) of a group of participants
c. The rankings of college undergraduate academic programs
Chapter 4
3. An expert reviews a
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an automony deprivation condition, in which they were told to follow instructions precisely, constantly given instructions over a loudspeaker, and carefully observed on everything they did. b. a neutral condition, which was much more laid back.
After this activity, they were asked to do a “lexical decision task” (a standard approach for measuring unconscious responses) in which they were shown a series of words and nonwords in random order and had to press “C” if it was a real word or “N” if not. Half of the real words were related to autonomy (e.g., freedom, choice) and half were neutral (e.g., whisper, hammer). The key focus of the study was on how long it took people to press the button *(“response latency”) for each kind of real word, averaged over the many words of each type. The table below shows the mean and standard deviation across the participants of these four categories of results. Thus, for example, 782 milliseconds (thousandths of a second) is the average time it took participants in the autonomy-deprived condition to respond to the autonomy-related words, and 211 is the standard deviation across the 26 participants’ average response time in that condition. Explain the numbers in this table to a person who has never had a course in statistics. (Be sure to explain some specific numbers, as well as the general principle of the mean and standard deviation.) For your interest, the pattern of results shown here supported the researchers’
· How were measures of central tendency used in the study? Did the study use the most appropriate measure of central tendency for the given data? Why or why not?
4. Calculate the following measures of central tendency for the set of cube measurement data. Show your work or explain your procedure for each.
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
2. Quantitative because the data given is concrete and generalizations like mean and mode can easily be identified.
Assume 20% of all email is spam. A large Internet provider plans on conducting a survey of 900 emails to see what percentage are spam.
1, 2, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 18, 21, 19, 26
It is one of the most popular and well known measures of central tendency. It can be used with both discrete and continuous data, although its use is most often with continuous data
However, it is crucial to consider the effects of these different measures of central tendency, as the
But If I would choose only one measure of center I would choose the median because it is resistant to outliners. And if I would choose one measure of spread I would choose the standard deviation because standard deviation explain how the data set is separated around the mean, as a result I can understand the spread of the data, and draw conclusions and estimations.
1,2,3,4,5 1,2,3,5,4 1,2,4,3,5 1,2,4,5,3 1,2,5,3,4 1,2,5,4,3 1,3,2,4,5 1,3,2,5,4 1,3,4,2,5 1,3,4,5,2 1,3,5,2,4 1,3,5,4,2 1,4,2,3,5 1,4,2,5,3 1,4,3,2,5 1,4,3,5,2 1,4,5,2,3 1,4,5,3,2 1,5,2,3,4 1,5,2,4,3 1,5,3,2,4 1,5,3,4,2 1,5,4,2,3 1,5,4,3,2 2,1,3,4,5 2,1,3,5,4 2,1,4,3,5 2,1,4,5,3 2,1,5,3,4 2,1,5,4,3 2,3,1,4,5 2,3,1,5,4 2,3,4,1,5 2,3,4,5,1 2,3,5,1,4 2,3,5,4,1 2,4,1,3,5 2,4,1,5,3 2,4,3,1,5 2,4,3,5,1 2,4,5,1,3 2,4,5,3,1 2,5,1,3,4 2,5,1,4,3 2,5,3,1,4 2,5,3,4,1 2,5,4,1,3 2,5,4,3,1 3,1,2,4,5 3,1,2,5,4 3,1,4,2,5 3,1,4,5,2 3,1,5,2,4 3,1,5,4,2 3,2,1,4,5 3,2,1,5,4 3,2,4,1,5 3,2,4,5,1 3,2,5,1,4 3,2,5,4,1 3,4,1,2,5 3,4,1,5,2 3,4,2,1,5 3,4,2,5,1 3,4,5,1,2 3,4,5,2,1 3,5,1,2,4 3,5,1,4,2 3,5,2,1,4 3,5,2,4,1 3,5,4,1,2 3,5,4,2,1 4,1,2,3,5 4,1,2,5,3 4,1,3,2,5
[1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 3, 6, 9, 12, 15, 18, 21, 24, 2,
1 1.1 1.2 1.3 1.4 1.5 1.6 2 2.1 2.2 2.3 2.4 3 3.1 3.2 4
For our Honors Math fall final this year we were assigned a task to collect 100 pieces of data from a survey question of our choice. With that question we surveyed 100 students from the same population. After collecting the responses we input the data into a spreadsheet to find the frequencies for each answer given. With those frequencies we then found the mean, median, mode, range, quartile 1, quartile 2, quartile 3, the interquartile range, maximum, minimum, outliers, standard deviation, and a z-score from the data. Further we were to create a hand drawn histogram and a box and whisker plot. Finding all of these is helping us come to a conclusion as to whether the responses to the survey question is normally distributed or not and if
0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8,
3 4 4 6 8 10 10 12 14 16 16 18 20 22 22 24 26 28