Module 4 Stats Comprehensive
Questions (Frequently Tested) with
Verified Answers
What term refers to a frequency distribution that follows a bell-shaped, symmetrical, and
unimodal curve? - Answer: normal distribution
In a normal distribution, the mean is located where? - Answer: in the middle of the curve
T/F For a normal curve, the median, mean, and mode are typically equal
T/F The area below the curve is 120%. - Answer: True
False. 100% or 1.00
T/F The greater the standard deviation, the less spread out the normal curve. - Answer: FALSE
The greater the standard deviation, the more spread out the normal curve. The smaller the
standard deviation, the narrower the normal curve.
A normal distribution can be defined by its ___ and ______. - Answer: mean and standard
deviation
the ___-___-___ rule
con? - Answer: 68-95-99.7
, However, the rule only works when values are exactly 1, 2, or 3 standard deviations away from
the mean. In order to apply the concept of proportions to other standard deviation values, such
as σ = ± 1.4 or σ = ± 2.3, scores or values in the dataset must be standardized.
an exact value that is observed - Answer: raw score
indicates exactly how many standard deviations a raw score is above or below the mean. -
Answer: standard score
describes the exact location of a raw score within the whole distribution when compared to the
mean. It converts each raw score X into a signed, numerical value.
also known as standard scores - Answer: z-score
What does a +z-score mean?
what does a -z-score mean? - Answer: the value from the dataset lies above the mean
the value from the dataset lies below the mean
Coverting raw scores to z-scores - Answer: z= (raw score- mean)/ standard deviation
Converting z-scores to raw scores - Answer: raw score= mean + z * standard deviation
Comparing Values using z-Scores and Raw Scores
When comparing z-scores from the same population or sample, it may be more meaningful to
convert the z-score back to a raw score. For example, compare the performances of the
Questions (Frequently Tested) with
Verified Answers
What term refers to a frequency distribution that follows a bell-shaped, symmetrical, and
unimodal curve? - Answer: normal distribution
In a normal distribution, the mean is located where? - Answer: in the middle of the curve
T/F For a normal curve, the median, mean, and mode are typically equal
T/F The area below the curve is 120%. - Answer: True
False. 100% or 1.00
T/F The greater the standard deviation, the less spread out the normal curve. - Answer: FALSE
The greater the standard deviation, the more spread out the normal curve. The smaller the
standard deviation, the narrower the normal curve.
A normal distribution can be defined by its ___ and ______. - Answer: mean and standard
deviation
the ___-___-___ rule
con? - Answer: 68-95-99.7
, However, the rule only works when values are exactly 1, 2, or 3 standard deviations away from
the mean. In order to apply the concept of proportions to other standard deviation values, such
as σ = ± 1.4 or σ = ± 2.3, scores or values in the dataset must be standardized.
an exact value that is observed - Answer: raw score
indicates exactly how many standard deviations a raw score is above or below the mean. -
Answer: standard score
describes the exact location of a raw score within the whole distribution when compared to the
mean. It converts each raw score X into a signed, numerical value.
also known as standard scores - Answer: z-score
What does a +z-score mean?
what does a -z-score mean? - Answer: the value from the dataset lies above the mean
the value from the dataset lies below the mean
Coverting raw scores to z-scores - Answer: z= (raw score- mean)/ standard deviation
Converting z-scores to raw scores - Answer: raw score= mean + z * standard deviation
Comparing Values using z-Scores and Raw Scores
When comparing z-scores from the same population or sample, it may be more meaningful to
convert the z-score back to a raw score. For example, compare the performances of the
