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Mathematics
Graduate
10/05/2015

Additional Mathematics Flashcards

 


 

Cards

Term

 

  1. Which branch of statistics (“inferential” or “descriptive”) helps researchers to summarize data so they can be easily comprehended?

 

Definition

 

Descriptive data is used to summarize data so it can be easily comprehended.

 

Term

 

  1. Which branch of statistics help researchers to draw inferences about the effects of sampling            

    errors on their results?

 

Definition
  Inferential statistics is the branch that allows researchers to infer about sampling errors.         
Term

 

  1. If a researcher tests a random sample instead of all members of a population, is it likely that the sample results will be the same as the results the researcher would have obtained by testing the population?

 

Definition

 

No, because a sample is not a guarantee of similar results of population.  Even with inferential statistics, samples are not a way to get the “same” result of the population.

 

Term

 

  1. Is a margin of error a “descriptive” or an “inferential” statistic?

 

Definition

 

Margin of error is inferential statistics.

 

Term

 

  1. Are significance tests associated with “descriptive” or “inferential” statistics?

 

Definition
Significance tests are inferential statistics  that help researchers deduce if differences in descriptive statistics are reliable
Term

 

  1. By studying populations, do researchers obtain “statistics” or “parameters”?

 

Definition

 

By studying populations, researchers obtain parameters.

 

Term

 

  1. By studying samples, do researchers obtain “statistics” or “parameters”?

 

Definition

 

By studying samples, researches obtain statistics.

 

Term
what is the name of the curve that is symmetrical?
Definition
a normal or bell curve is symmetrical
Term
If a distribution has some extreme scores on the right (but not on the left), it is said to have what type of skew?
Definition
positively skewed
Term
If a distribution is skewed to the left, does it have a "positive" or a "negative" skew?
Definition
negative skew
Term
In most populations income has what type of skew?
Definition
positive skew
Term
Does a distribution witha  tail to the right have a "positive" or a "negative" sskew?
Definition
positive skew
Term
What average is defined as the most freqauently occuring score?
Definition

 

  1. The most frequently occurring score is mode.

 

Term
which average is defined as the balance point in a distribution?
Definition

 

  1. Mean

 

Term
which average is defined as the middle score?
Definition

 

  1. Median

 

Term
What is the formal definition of the mean?
Definition

 

  1. Mean is the value around which the deviation sum is zero

 

Term
How is the mean calculated?
Definition

 

  1. Add up the scores and divide by the number of scores

 

Term
Should the mean be used for highly skewed distributions?
Definition
No, because mean is the most easily affected by extreme scores
Term
Which one of the three averages is very seldom used in formal reports of research?
Definition

 

  1. If it is highly skewed the mean should be used because it is not affected by extreme scores

 

Term
What si a synonym for the term averages?
Definition
A synonym for averages is the measure of central tendancies
Term

 

  1. Which average is usually reported when the standard deviation is reported?

 

Definition

 

The standard deviation is used to describe the variability from the mean.

 

Term

 

  1. What is meant by the term variability?

 

Definition

 

The term variability discusses the amount by which participants in an experiment differ or vary from each other.  Variability is the difference between the scores.

 

Term

 

  1. Is it possible for two groups to have the same mean but different standard deviations?

 

Definition

 

Yes, depending on the scores or numeric value, the averages can be the same but the variation between those scores can be different, therefore, the standard deviations can vary.

 

Term

 

  1. If all individuals in a group have the same score, what is the standard deviation for the scores?

 

Definition

 

If all scores are the same, the standard deviation would equal zero (0).

 

Term

 

  1. What percentage of the participants lies within one standard-deviation units of mean (i.e., on both sides of the mean) in a normal distribution?

 

Definition
68% of the participants in the distribution are within one standard deviation unit of the mean assuming a distribution is normal
Term

 

  1. The middle 68% of the participants in a normal distribution have scores between what two values if the mean equals 100 and the standard deviation equals 15?

 

Definition

 

With a mean of 100 and the standard deviation 15, the values of the middle 68% would be 85 and 115.

 

Term

 

  1. If the mean of a normal distribution equals 50 and the standard deviation equals 5, what percentage of the participants have scores between 45 and 50?

 

Definition

 

34% of the participants in a normal distribution would have scores between 45 and 50.

 

Term

 

  1. Does the 68% rule strictly apply if a distribution is not normal?

 

Definition

 

No, it does not.  The less normal I it is, the less accurate the 68% rule is.

 

Term

 

  1. If a researcher asks participants to name the country in which they were born, the researcher is using which scale of measurement?

 

Definition

 

The researcher is using a nominal scale of measurement.

 

Term

 

  1. Which two scales of measurement have equal distances among the scores they yield?

 

Definition

 

Interval and ration have equal distances.

 

Term

 

  1. If a researcher assigns a teacher to rank students according to their oral language skills, the researcher is using which scale of measurement?

 

Definition

 

Ordinal scale would rank their oral language skills.

 

Term

 

  1. Which scale of measurement has an absolute zero?

 

Definition

 

Ratio scale has an absolute zero.

 

Term

 

  1. Which scale of measurement is at the lowest level?

 

Definition

 

Nominal scale is at the lowest level.

 

Term

 

  1. Objective, multiple choice achievement tests are usually assumed to measure at what level?

 

Definition

 

These types of tests measure at an interval level.

 

Term

 

  1. If a researcher measures in such a way that he or she finds out which participant is the most honest, which is the next most honest, and so on (without measuring to determine how much honesty each one has), the researcher is measuring with what scale of measurement?

 

Definition

 

Ordinal scale will measure honesty without measuring the value of honesty.

 

Term

 

  1. The number of minutes of overtime work that employees perform is an example of which scale of measurement?

 

Definition

 

Ratio intervals measure overtime.

 

Term

 

  1. Weight measured in pounds is an example of which scale of measurement?

 

Definition

 

Weight is a ratio measurement.

 

Term

 

  1. If the median for a group of participants is 25.00, what percentage of the participants has scores above a score of 25.00?

 

Definition

 

50% score above the 25.00 if 25.00 is the median.

 

Term
How is the range of a set of scores calculated?
Definition
Range is the highest score minus the lowest score.
Term

 

Is the “range” or the “interquartile range” a more reliable statistic?

 

Definition

 

Interquartile range is more reliable because it is the range between 2 quarters, and therefore less skewed by extreme data.

 

Term
The interquartile range is the range of what?
Definition

 

The interquartile range is the range of the middle 50%, the range between the 1st and 3rd quartile.

 

Term

 

Which statistics discussed in this topic measures variability?

 

Definition

 

Median, range and interquartile range are all measurements of variability?

 

Term

 

X

X2

Y

Y2

X+Y

1

1

4

16

5

2

4

3

9

5

3

9

2

4

5

4

16

1

1

5

5

25

1

1

6

15

55

11

31

26

 

Definition

 

Sum of X and Y: ∑(15+11)=∑15+∑11

 

Sum X2 :∑ 55∑(15)2

 

Term
Pearson r” stands for what words?
Definition
Pearson r stands for Pearson product moment correlation coefficient.
Term

 

  1. When the relationship between 2 variables is perfect and inverse what is the value of r?

 

Definition

 

The value is -1.0

 

Term

 

  1. Is it possible for a negative relationship to be strong?

 

Definition

 

Yes it is, at -1.0.

 

Term

 

  1. Is an r of -.90 stronger than an r of .50?

 

Definition

 

Yes, because r >.70 is stronger than .50.

 

Term

 

  1. Is an r of .75 stronger than an r of -.35?

 

Definition

 

Yes, because .75 is stronger than .35.

 

Term

 

  1. Is a relationship “direct” or “inverse” when those with high scores on one variable have high scores on the other and those with low score on one variable have low scores on the other?

 

Definition

 

The relationship is direct or positive.

 

Term

 

  1. What does an r of 1.0 indicate?

 

Definition
A perfect and positive relationship
Term
What is a variable?
Definition
A characteristic or attribute that can be asessed on an instrumetn or observed and recorded on an instrument.  It addition, it can be assumed different values or scores for different individuals.
Term
4 types of variables
Definition
categorical, continuous, indpendent, dependent
Term
Statistics is what..
Definition
a branch of mathematics concered with describing and interpereting data.  theories and methods applied for the purposes of understanding data
Term
descriptive statistics
Definition
used to summarize and describe data that has been collected
Term
Inferential Statistics
Definition
used to make inferences from samples to the population from which the shawn were drawn
Term
how do we express relative frequency
Definition
proportions and percentanges
Term
sample
Definition
X with a line over the top
Term
population mean
Definition
sigma u
Term
skewness
Definition
refers to the asummetry of the distribution, such that a summetrical distribution exhibitis no skewness.  Mean, mediana nd mode all fall at the same point
Term
positively skewed distribution where is the central tendancies
Definition
it goes mode, median and then mean nearer to the slope towards the tail
Term
Mean in a skewed curve
Definition
mean is puled in the direction the distribution is skewed
Term
for negatively skewed how is the central tendancies distributed
Definition
mean, median, and then mode.  again, mean is towards the tail
Term
Kurtosis is a
Definition
measure of whether a data is peaked or flat relative to nomal distribution.
Term
low kurtosis
Definition
flat top near the mean
Term
nominal
Definition
numbers used to name
Term
ordinal
Definition
numbers used to represent position or order in series
Term
interval and ratio
Definition
numbers used to represent quantity such as how many or how much
Term
interval and 0
Definition
the 0 in interval does not represent an absence of something
Term
Pearson product moment correlation coefficent
Definition

strong relationship r>.75

moderate relationship .40<r<.75

weak relationship 0<r<.40

 

no relationship r=0

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