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Measures of Central Tendency

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The full details is uploaded please consult that. Also please go by the rubric
TASKS:
1) Measures of Central Tendency (22 pts)
Variables used:
• AGEKDBRN: How old were you when your first child was born?
o Range: 12 years old to 51 years old
o Please note that missing cases include people who do not have children as well as people who did not answer the question.
• HEALTH1: Would you say that in general your health is Excellent, Very good, Good, Fair, or Poor?
o Range: 1-5
o Key: 1=Excellent, 2=Very good; 3=Good; 4=Fair; 5=Poor
a) Explain which of the measures of central tendency is best suited for understanding each variable & why. Be sure to demonstrate that you know what those measures (and the standard deviation where applicable) mean and that you can articulate them in plain language.
2) Frequencies (22 pts)
Variables used:
• NATSPAC: Are we spending too much, too little, or about the right amount on the space exploration program?
• NATFARE: Are we spending too much, too little, or about the right amount on welfare?
o Range for both variables: 1-3
o Key for both variables: 1=too little; 2=about the right amount; 3=too much
o Preamble for both variables: We are faced with many problems in this country, none of which can be solved easily or inexpensively. I’m going to name some of these problems, and for each one I’d like you to name some of these problems, and for each one I’d like you to tell me whether you think we’re spending too much money on it, too little money, or about the right amount.
a) Explain the frequencies for each variable in plain language. Which type of chart is best for conveying this? (Defend your choice.)
b) What is the sociological significance of these frequencies/charts? If there is no sociological significance, explain why. (NOTE: These frequencies CANNOT tell us anything about a relationship between the variables. You need to explain the sociological significance of each separately.)
c) Is a chart or the raw numbers better for conveying the sociological significance? (Defend your choice.)
3) Crosstabs (22 pts)
Variables used:
• NATSPAC: Are we spending too much, too little, or about the right amount on the space exploration program?
• NATFARE: Are we spending too much, too little, or about the right amount on welfare?
o Range for both variables: 1-3
o Key for both variables: 1=too little; 2=about the right amount; 3=too much
o Preamble for both variables: We are faced with many problems in this country, none of which can be solved easily or inexpensively. I’m going to name some of these problems, and for each one I’d like you to name some of these problems, and for each one I’d like you to tell me whether you think we’re spending too much money on it, too little money, or about the right amount.
Explain the following in plain language:
a) Write a hypothesis or research question that demonstrates why a researcher might suspect these two variables of being related.
b) What do the cross-tabulated frequencies mean?
c) Do raw numbers or bar charts give us a better understanding of the relationship? Why?
d) Are the results statistically significant & how do you know?
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