2011/01/14

Review Material for Research I (Elementary Statistics)


Multiple Choices: Write the letter that corresponds to the correct answer before each number.
_____1.    Range is the easiest measure of variability while standard deviation is
A.  more accurate than range   B. affected by extreme values  C. seldomly use  D. a measure of the centrality
_____2.    Standard deviation is ______measure of variability.  A. weakest   B. accurate 
C. difference between the highest and lowest value  D. the mid value of the upper and lowest class limit
_____3.    How do we find the range of a grouped set of data?
A.    Find the highest and lowest values in the set of data. Subtract the lowest value from the highest value to get its range.
B.    Find the difference between the exact lower limit of the lowest class interval and the exact upper limit of the highest class interval.
C.    Get the difference between the lowest  and the highest frequency.
D.    Get the difference between the lowest and highest data.
4-6. . Given this data and choices: A. 95  B. 90  C. 76  D. 19



 _____4. What is the lowest value of the lowest  class interval?
_____5. What is the highest value of highest class interval?
_____6. What is the range value?




_____7-8.    Parents are encouraged to plan their family in terms of spacing the ages of their children to ensure that both the health of the mother and the child is taken care of. Suppose a mother has 5 children aged 2, 3, 5, 6, and 8. Calculate the standard deviation of the ages of the children. A. 5.11  B. 5.33  C. 6.20 
D. 7.59
_____9.    Measures of variability is significant when explaining a set of data because it ___.
A.    Measures the mid point       B. Measures the difference of each value.                    
C. Determines the center of the observation.  C. Measures the most frequent observation  
_____10.    If the Employee A has S= 1 while Employee B has S=20. Being an Employer who would you hire?
A.    Employer A        B. Employer B        C.  Both        D. None of the Employees
_____11.    If S value is small it means that each datum in the distribution  is ____  the mean. 
    A. far from          B. near  from         C. within      D. before
_____12.    If S value is large it means that the group is   A. homogeneous  B. Heterogeneous  C. large 
D. small
_____13.     Which is FALSE about range?
A.    The sum between the highest score and the lowest score   B. Only reflects the two most extreme scores
    C. Ignores scores that fall in between these extremes 
D. Ignores a great deal of information available in the original data
Consider the choices and the two groups of scores   Group1= 9,5,1   Group 2= 5,6,4 in answering numbers 14-15.
A.    Group 1       B. Group 2       C.  Group 1 & 2        D.  data are not enough
_____14.    Which group has a small S value?
_____15.    Which group is heterogeneous?
_____16.    What is the range value of group 1?     A. 8      B. 9       C. 10      D. 15
_____17.    What is the S value of group 1?    A. 6   B. 5  C. 4   D. 3
Use the diagram and choices below with given data of S=5 and a mean of 20 to answer #s 18-20.
A.    5        B. 10        C. 20    D. 25

_____18.    What is the value of II?
_____19.    What is the value of IV?
_____20.    What is the mean value?
_____21.    How many parts have a quartile? A. 4   B. 10  C. 20   D. 100
_____22.    How many parts have a decile? A. 4   B. 10  C. 20   D. 100
_____23.    How many parts have a percentile? A. 4   B. 10  C. 20   D. 100
_____24.    A Q2  is ___.  A. 25%  B. 50% C. 75%   D. 100%
_____25.    A P67 is ___. A. 60 %   B. 61%   C.  62%  D. 63%
_____26.    What is Q1 of 40?  A. 10  B. 20  C. 30  D. 40
_____27.    What is D2 of 40?  A. 6  B. 7   C. 8  D. 9
_____28.    What is P83 of 40?  A. 30  B. 31  C. 33  D 34
_____29.    What is Q3 equal to  A. 25%  B. 50% C. 75%   D. 100%
#25-26. Given the following data set: 1, 1, 3, 3, 3.5, 4, 4, 5, 5, 5, 6, 6, 7.5, 8, 8, 9, 10, 12, 13, 14
_____30.    What is the rank of 5?       A.7            B.9          C. 8.5          D. 9 
_____31.    What is the percentile rank of 5?  A. 40%  B. 40.5%   C. 42%   D. 42.5%
_____32.    Which is the true interpretation if a score of 20 out 40 examinees is equal to 80 percentile rank?
A.    20 % of the examinees scored below 20.   B. 80% of examinees scored above 20.
 C. 80% of the examinees scored below 20.   D. many pass the test
_____33.    What is the rank of 8? A. 12  B. 13  C. 14  D. 15
_____34.    What is the percentile rank of 8?  A. 60%  B. 65%  C. 70%  D. 75%
_____35.    Find the number that is in 80th percentile  A. 9   B. 8   C. 7.5  D. 6
_____36.    Find the number that is in the 50th percentile.  A. 5  B. 6  C. 7.5  D. 8
_____37.    Which is a false interpretation if the score of 10 out of 20 is 40 percentile rank?
A.40% of the students scored below 10 .  B. 40% of the students scored above 10. 
C. 60% of the students scored below 10   D. 10 (ten) students pass the test.
For # 33-40. Test scores:  13, 13, 13, 20, 26, 27, 31, 34, 34, 34, 35, 35, 36, 37, 38, 41, 41, 41, 45, 47.
_____38.    What is the first quartile?      A. 13       B. 20           C. 26          D.  27
_____39.    What is the third quartile?    A. 38    B. 37    C. 36       D. 35
_____40.    What is 2nd decile?      A. 13    B. 20           C. 26          D.  27
_____41.    What is the 8th decile?     A. 37          B. 38    C. 41      D. 45
_____42.    What is the 67th percentile?     A. 38    B. 37    C. 36       D. 35

#43-50. Use the MS Excel to solve for the mean, median, mode,range and standard deviation of the following data:
75, 80, 89, 83, 90, 90, 90, 77, 82, 95

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