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
Mean =42/20 =2.1 Meidan = 2 Mode= 1 and 4
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 (Mean)
b. The blood type (e.g., Type A, B, AB, O) of a group of participants (Mode)
c. The rankings
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governors and large corporations’ CEOs in general.
a) Governors: 36; 44; 52; 40
Mean: 43
Standard deviation: 6.83
CEOs: 32; 60; 48; 36
Mean: 44
Standard deviation: 12.65
b) We have just found the average measurements of the desks of the governors and CEOs in major US corporations. We also found the spread of the data.
c) The average, or mean of the measurements are almost the same in both cases. However, the standard deviation of the CEOs’ measurements is almost double of the governors’, which means that the CEO’s desks can be either much bigger or much smaller than the governors.
5. Radel and colleagues (2011) conducted a study of how feeling overly controlled makes you desire—even unconsciously—more freedom. In their study, 52 Canadian undergraduates played a video game in a laboratory and were randomly assigned to either:
a. 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.,
2. Quantitative because the data given is concrete and generalizations like mean and mode can easily be identified.
a) Does the range rule of thumb overestimate or underestimate the standard deviation for number of credit hours?
The mode is the most frequent score in our data set. On a histogram it represents the highest bar in a bar chart or histogram. You can, therefore, sometimes consider the mode as being the most popular option
The mean (average-obtained from adding all variables and dividing by the number of variables used), median (variable at the centre of the range) and mode (most frequently occurring variables are measures of central tendency). They serve to identify the points between the extremes. As an example, if a survey asked users of a certain product their age, measures of central tendency help to determine the typical age of the user. The youngest might be 10 years and the oldest 70. However, the values in between these extremes are the most useful for the marketer. Knowing that the mean (or average) age is 32, the median 34 and the mode 31, 32 and 35, indicate that typical age of a user is early thirties.
When voltage was measured the nail covered with zinc had the highest average voltage of 0.695267 V followed by Magnesium with 0.307733 volts and the controlled iron alloy had the smallest voltage, 0.2572 V. When current was measured zinc produced the highest current (160.2733 A) followed by Magnesium (52.6733 A) and the smallest was again the control (19.27 A). As shown in the above tables 1 and 2 the mean and median were quite similar throughout testing besides magnesium which wasn’t as close as the others. Explain what that means
Our brief analysis of the unconscious suggested that repression is the mechanism by which unconscious impulses or drives are forbidden access to conscious life. [...] Only those impulses whose satisfaction it is apparently possible to put off are repressed. [...] The repressed instinct does not “give up” when it is denied entrance into consciousness. It expresses itself digressively, disguisedly, in “derivatives
In this write up, the different scales of measurement, nominal scale, ordinal scale, interval and ratio are discussed, including examples of test types that would usually employ them. Also, measures of central tendency, and measures of variability and their effect on test suitability are addressed in the second half of this piece.
Today, we are going to look at variability. Before we do that, let us review our last week session. The central tendency can be measured in three ways: mean, median, mode. The mean is the more precise, then median and lastly mode. Each of them provides different type of information about a distribution, depending on the data that needs to be analyzed and what we want to explain to the audience. The wrong measurement of central tendency could misrepresent the data and distort it systematically.
1. All other factors held constant, the higher the confidence level, the closer the point estimate for the population mean will be to the true population mean.
The Standard deviation of the time with interference is 8.9991. The Standard deviation of the times without interference is 3.0584
The variable age is the independent variable and is of a ratio level of measurement (Loiselle et al., 2011). The measure of central tendency to describe age in table 1.2 are the mean of 57.62 which is the average age, the median which is the middle score within the distribution when all scores are organized of 58.5 and the mode of 58 which is the most frequently occurring age (Loiselle et al., 2011).
Measures of central tendency express what is happening in “the midrange of a group of scores” (Neukrug, 2011, p. 408). Three widely known measures of central tendency are the mode, median, and mean. “Although measures of central tendency do not tell you a lot about general trends in the whole group, they do a give you a sense of whether a known score is higher or lower than the mean,
Measure of central tendency (pg. 124): Single statistical scores obtained by calculating the typical or central value of the entire set of scores. Examples of central tendency are median, mode, and mean.
Descriptive statistics describes data by organizing factors of a sample such as culture, gender, age, or location and is shown with charts or graphs. Descriptive statistics can interpret larger portions of data and reduce larger portions of data. The measure of central tendency describes the average score being the mean, the median being the midpoint of a spread of scores, and the mode the most frequent. There are certain levels of measurement and descriptive statistics may not be the best technique based on the measurement, these scales include nominal, ordinal, interval, and
The inter quartile values and median are provided here in order to have a non-parametric explanation of measures of central tendency of obtained data.