Question

In: Math

For each question in this assignment, you should upload your output and your explanations to Canvas....

For each question in this assignment, you should upload your output and your explanations to Canvas. There are 3 questions in this assignment.   

  1. Enter the following data in SPSS and (a) produce a frequency chart, (b) produce a graph or chart appropriate for the variable, (c) explain why you chose that graph or chart that you did, (d) produce the measure of central tendency most appropriate for this variable, (e) explain why this measure of central tendency is best, (f) if appropriate for the given data, produce variance and standard deviation, and (g) if standard deviation is appropriate for the data, give a one sentence interpretation of standard deviation

The following data are GPAs for a sample of participants (N = 12) at a large university.

2.50   3.33   4.00   2.00   2.75   3.00

3.40 2.75   3.60   1.70 2.80   2.90

  1. Enter the following data in SPSS and (a) produce a frequency chart, (b) produce a graph or chart appropriate for the variable, (c) explain why you chose that graph or chart that you did, (d) produce the measure of central tendency most appropriate for this variable, and (e) explain why this measure of central tendency is best.

The following are the ages of students in a section of Introductory Psychology.

21 18 21 21 20 24 21 18 45 22

24 19 22 25 22 22 25 23 25 21

  1. Enter the following data in SPSS and (a) produce a frequency chart, (b) produce a graph or chart appropriate for the variable, (c) explain why you chose that graph or chart that you did, (d) produce the measure of central tendency most appropriate for this variable, and (e) explain why this measure of central tendency is best.

The following data are reported romantic relationship statuses for a sample of participants (N = 15).

Single Single   Married   Engaged   Single

Divorced   Engaged   Married   Single   Engaged

Married   Divorced   Married   Single   Engaged

Solutions

Expert Solution

#1 Create variable GPA using variable view and then enter data in SPSS using Data view.

Click on Analyze->Descriptive Statistics->Frequencies...

Move GPA to Variables box.

Click on Statistics, select all central tendency and dispersion. Click continue.

Click on Charts, select Histograms. Click continue.

Check box "Display frequency tables" and click OK.

(a) Frequency chart:

(b) Histogram is shown below:

(c) I chose histogram because GPA is quantitative variable.

(d) Statistics produced using SPSS is shown below:

Most appropriate measure of central tendency for this variable is mean = 2.8942.

(e) Most appropriate measure of central tendency for this variable is mean because histogram shows that the distribution of GPA is symmetrical (bell shaped).

(f) Variance and standard deviation are shown above.

(g) Yes, standard deviation is appropriate for the data, because histogram shows that the distribution of GPA is symmetrical (bell shaped) with no outlier. Standard deviation = 0.64734 is average distance of a GPA from its mean.

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#2 Create variable Age using variable view and then enter data in SPSS using Data view.

Click on Analyze->Descriptive Statistics->Frequencies...

Move Age to Variables box.

Click on Statistics, select all central tendency and dispersion. Click continue.

Click on Charts, select Histograms. Click continue.

Check box "Display frequency tables" and click OK.

(a) Frequency chart:

(b) Histogram is shown below:

(c) I chose histogram because Age is quantitative variable.

(d) Statistics produced using SPSS is shown below:

Most appropriate measure of central tendency for this variable is median = 22.00.

(e) Most appropriate measure of central tendency for this variable is median because histogram shows that the distribution of Age is skewed.

(f) Variance and standard deviation are shown above.

(g) No, standard deviation is appropriate for the data, because histogram shows that the distribution of Age is skewed.

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#3 Create variable "Romantic relationship status" using variable view and then enter data in SPSS using Data view.

Click on Analyze->Descriptive Statistics->Frequencies...

Move "Romantic relationship status" to Variables box.

Click on Statistics, select Mode. Click continue.

Click on Charts, select Bar chart. Click continue.

Check box "Display frequency tables" and click OK.

(a) Frequency chart:

(b) Bar chart is shown below:

(c) I chose Bar chart because "Romantic relationship status" is categorical variable.

(d) Statistics produced using SPSS is shown below:

Most appropriate measure of central tendency for this variable is mode = single.

(e) Most appropriate measure of central tendency for this variable is mode because "Romantic relationship status" is categorical variable.


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