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Basic Social Statistics-Exam Paper 1 Answers 2010-Sociology, Exams of Social Statistics and Data Analysis

Minnesota State University (MSU) - MankatoSocial Statistics and Data Analysis

First Midterm Exam Spring 2010 Answers. Continuous variable, Descriptive statistics, Frequency distribution, Histogram, Type of variable, Frequency, Cumulative frequencies, Moderate, Range, Mean, Median, Mode, Variance, Standard deviation, Basic Social Statistics, Exam Paper 2010, Sociology, David Knoke, Minnesota State University (MN), United States of America (USA)

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Soc 3811 Basic Social Statistics
First Midterm Exam Spring 2010
ANSWERS
INSTRUCTIONS:
(A) Write your name on the line at top front of every sheet.
(B) If you use a page of notes in taking this exam, sign & insert it inside this
booklet before turning in your exam.
(C) Show your calculations for numerical problems in the space provided!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
1. Fill in the blanks [1 point each]:
a. The graph of an continuous variable is called a(n)
________________________________________________________________.
b. Descriptive statistics that describe the value most typical of the scores in a
frequency distribution are called
________________________________________________________________.
c. Variables like EDUC and AGE, which could have all possible numerical values in
a given interval, are called
________________________________________________________________.
d. A variable that classifies persons, objects, or events into two mutually exclusive
and exhaustive categories is called a(n)
________________________________________________________________.
e. Many card games assign increasing values to the four face cards: Jack, Queen,
King, Ace. What type of variable is this?
________________________________________________________________.
Histogram or polygon
Measures of central tendency
Continuous
Dichotomy
Orderable discrete
pf3
pf4
pf5
pf8
pf9
pfa

Partial preview of the text

Download Basic Social Statistics-Exam Paper 1 Answers 2010-Sociology and more Exams Social Statistics and Data Analysis in PDF only on Docsity!

Soc 3811 Basic Social Statistics

First Midterm Exam Spring 2010

ANSWERS

INSTRUCTIONS:

(A) Write your name on the line at top front of every sheet.

(B) If you use a page of notes in taking this exam, sign & insert it inside this booklet before turning in your exam.

(C) Show your calculations for numerical problems in the space provided!

1. Fill in the blanks [1 point each]:

a. The graph of an continuous variable is called a(n)

________________________________________________________________.

b. Descriptive statistics that describe the value most typical of the scores in a

frequency distribution are called

________________________________________________________________.

c. Variables like EDUC and AGE, which could have all possible numerical values in

a given interval, are called

________________________________________________________________.

d. A variable that classifies persons, objects, or events into two mutually exclusive

and exhaustive categories is called a(n)

________________________________________________________________.

e. Many card games assign increasing values to the four face cards: Jack, Queen,

King, Ace. What type of variable is this?

________________________________________________________________.

Histogram or polygon

Measures of central tendency

Continuous

Dichotomy

Orderable discrete

2. This table shows responses to the 2008 GSS variable THEISM, “There is a God who

concerns Himself with every human being personally.” Complete the last two columns of

the table and report the modal category. [5 points]:

CATEGORY

Frequency (fi)

Percent (%) Valid Percent (%)

Valid 1. Stongly agree (^578) 28.6 43. 0

2. Agree

368 18.2 27.

3. Neither agree nor disagree

185 9.1 13. 8

  1. Disagree (^136) 6.7 10.

5. Strongly disagree

76 3.8 5. 7

Total

1,343 (66.4) 100.

Missing 0. IAP (^658) 32.

9. No answer, don’t know

22 1. 1

Total

680 (33.6)

TOTAL (^) 2,023 100.

MODE: ________________________________________________________________

1. Strongly agree

4. Calculate the Index of Diversity and Index of Qualitative Variation for this table

showing 2008 GSS variable SCISTUDY, which asked how well the respondents

understand the term “scientific study.” [5 points]

D: _______________ IQV: ________________

SCISTUDY

Frequency (f)

Percent (%)

Valid Percent (%)

Valid 1. Clear understanding 424 21.0 28.

2. General sense 749 37.0 50.

3. Little understanding 309 15.3 20.

Total 1,482 73.3 100.

Missing 9. IAP; DK, NA 541 26.

TOTAL 2,023 100.

1 0. 381 0. 619

1 (. 286. 505. 209 )

1 ( )

2 2 2

  

   

D   ppp

  1. 619 0. 9285 2

3

  1. 619 3 1

3

1

^  

  

   

  

 

  

D K

K IQV

Your name: ________________________________________________

5. Calculate the mean, median, mode, and range of an ungrouped variable with these

scores. [5 points]

Y 1 = 3 Y 4 = 5 Y 7 = 7

Y 2 = 5 Y 5 = 9 Y 8 = 5

Y 3 = 7 Y 6 = 11 Y 9 = 11

Mode: 3, 5, 5, 5, 7, 7, 9, 11, 11

Median: 3, 5, 5, 5, 7 , 7, 9, 11, 11

Range: 11 – 3 = 8

MODE: ________^5 MEDIAN: ________^7 MEAN: ________ RANGE: ________^7 .0^8

  1. 0 9

63

9

3 5 5 5 7 7 9 11 11

N

Y Y

N

i 1

i

 

        

 (^)  

Your name: ________________________________________________

7. This table shows how often people pray. Find the mode and median. Then write an

interpretation of those two central tendency statistics, explaining which measure more

accurately describes how often people pray. [5 points]

HOW OFTEN DOES R PRAY

Frequency Percent

Valid Percent

Cumulative Percent Valid 1. Never 138 6. 8 10. 2 10. 2

  1. Less than once a week 28 1.4 2. 1 12. 3

  2. About 1-2 times per year 25 1. 2 1. 9 14. 2

  3. Several times a year 68 3. 4 5. 0 19. 2

  4. About once a month 38 1 .9 2. 8 22.

  5. 2-3 times per month 63 3. 1 4. 7 26. 7

  6. Nearly every week 27 1. 3 2. 0 28.

  7. Every week 66 3. 3 4. 9 33. 6

  8. Several times a week 237 11. 7 17. 6 51. 2

  9. Once a day 268 13. 2 19. 9 71. 1

  10. Several times a day 391 19. 3 29. 0 100. Total 1,349 66. 7 100. Missing

  11. INAP, DK, NA 674 33. TOTAL 2,023 100.

MODE: 11. Several times a day

MEDIAN: 9. Several times a week

The mode is the category with the most cases, but it occurs

in the highest category this ordered variable’s distribution.

The median is the category that exactly divides the

distribution in half (where the 50th percentile occurs).

The median of “several times a week” more accurately

represents the typical frequency because it occurs closer to

the middle of the variable’s values than does “several times a

day.”

8. This graph, using using different frequencies than in problem #7, has these descriptive

statistics for praying: mean = 8.2; median = 10.0; variance = 11.2. Calculate skewness

and interpret the graph’s shape, including the type of skew. [5 points]

NEVERLESS THAN ONCE A YEARABOUT ONCE OR TWICE A YEARSEVERAL TIMES A YEARABOUT ONCE A MONTH2-3 TIMES A MONTHNEARLY EVERY WEEKEVERY WEEKSEVERAL TIMES A WEEKONCE A DAYSEVERAL TIMES A DAY

HOW OFTEN DOES R PRAY

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

30.0%

Percent

  1. 61

  2. 35

  3. 4

  4. 2

3 ( 8. 2 10. 0 )

3 ( )

 

 

 

  s Y

Y Mdn Skew

INTERPRETATION:

Mean Median

The distribution has a negative skew, with its tail to the left,

because the mean praying is lower than the median. Although the

average praying was 8 , half the sample prayed 10 or more times.

10. The 2008 GSS variable SIBS (“How many brothers and sisters did you have?”) has

these descriptive statistics for 2,021 respondents: mode = 2; median = 3; mean =3.6;

range = 55; variance = 10.2. Calculate the standardized scores (Zi scores) for three

respondents with these numbers of siblings (Yi). [5 points]

Yi Zi

1

5

12

Calculate the expeced number of siblings (Yi) for two respondents with these Zi scores.

Zi Yi

-0.

+2.

s

Y Y

Z

Y

i

i 

s

Y Y

Z

Y

i

i 

s

Y Y

Z

Y

i

i 

Y i  Z i(sY)Y( 0. 4 )( 3. 19 ) 3. 6  2. 32

Y i  Z i(sY)Y( 2. 2 )( 3. 196 ) 3. 62  10. 62