A Student Of Statistics? This Is A Quiz For You, Then!
A descriptive statistic is a summary statistic that quantitatively describes or summarizes features from a collection of information, while descriptive statistics is the process of using and analysing those statistics.
- 1.
Which one is better: mean, median or mode?
- A.
Mean
- B.
Median
- C.
Mode
- D.
Depends on your goals
Correct Answer
D. Depends on your goalsExplanation
Please read the following page for a more thorough explanation: http://www.shodor.org/interactivate/discussions/MeanMedianAndMode/Rate this question:
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- 2.
What is the median of the data set: 4, 3, 1, 2, 6, 3, 4, 5, 2, 6, 4, 3, 3, 3, 6, 4, 6, 4, 2, 6?
- A.
4
- B.
6
- C.
5
- D.
3.5
Correct Answer
A. 4Explanation
you sort the numbers first: 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6 eggs. There is an even number of values, so the middle (or median) is between the first and second 4 (the 10th and 11th values). Because they are the same, their average is also 4, so the median is 4.Rate this question:
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- 3.
True or false: When the word "mean" is used without a modifier, it can be assumed that it refers to the arithmetic mean.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The arithmetic mean is what is commonly called the average: When the word "mean" is used without a modifier, it can be assumed that it refers to the arithmetic mean. The mean is the sum of all the scores divided by the number of scores.Rate this question:
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- 4.
The mean is the sum of all the scores _________ the number of scores.
- A.
Except for
- B.
Multiplied by
- C.
Subtracted from
- D.
Divided by
- E.
Except from
Correct Answer
D. Divided byExplanation
The mean is the sum of all the scores divided by the number of scores. The formula in summation notation is: μ = ΣX/NRate this question:
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- 5.
What is the standard deviation of the following (complete) population? 2, 4, 4, 4, 5, 5, 7, 9
- A.
4
- B.
4.5
- C.
5
- D.
2
- E.
There is not enough information to determine standard deviation
Correct Answer
D. 2Explanation
See here for an explanation: http://en.wikipedia.org/wiki/Standard_deviation#Basic_exampleRate this question:
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- 6.
The difference in the formula for standard deviation between a complete population and an incomplete population is:
- A.
Mean plus 1
- B.
Mean minus 1
- C.
Numerator minus
- D.
Denominator minus 1
Correct Answer
D. Denominator minus 1Explanation
See this link for more info: http://en.wikipedia.org/wiki/Standard_deviation#Basic_exampleRate this question:
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- 7.
To calculate standard deviation in Microsoft Excel, you first have to calculate the "average."
- A.
True
- B.
False
- C.
This is a trick question
Correct Answer
A. TrueExplanation
This is true. See: http://www.gifted.uconn.edu/siegle/research/Normal/stdexcel.htmRate this question:
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- 8.
In probability theory and statistics, the normal distribution or Gaussian distribution is an absolutely continuous probability distribution with zero cumulants of all orders higher than two. The graph of the associated probability density function is bell-shaped, with a peak at the mean, and is known as the Gaussian function or bell curve.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
This is true. See: http://en.wikipedia.org/wiki/Normal_distribution#DefinitionRate this question:
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- 9.
Not all normal distributions are symmetric and have bell-shaped density curves with a single peak.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
This is false. By definition, all *normal* distributions are symmetric and have bell-shaped density curves with a single peak.Rate this question:
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- 10.
For a normal distribution, almost all values lie within ___ standard deviations of the mean.
- A.
4
- B.
5
- C.
2
- D.
3
Correct Answer
D. 3Explanation
If you got this incorrect, please review the section on normal distribution.Rate this question:
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- 11.
Calculate normal distribution: If X is a normal random variable with mean (m) 100 and standard deviation (σ) 6 find P(X<106)
- A.
P = 0.1
- B.
P = 0.8413
- C.
P = 94
- D.
There is not enough information to solve this problem.
Correct Answer
B. P = 0.8413Explanation
Step 1: For a given value X=106
Z = (106-100)/6
= 1
Step 2: Find the value of 1 in Z table
Z = 1 = 0.3413
Step 3: Here the X value is greater than mean
P(X) = 0.5 + 0.3413 = 0.8413Rate this question:
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- 12.
Using a z-table, determine the area under the curve between 0 and 1.27
- A.
0.3962
- B.
0.4909
- C.
0.398
- D.
There is not enough information to answer this question
Correct Answer
A. 0.3962Explanation
Please see this z-table and explanation of how to use it: http://www.easycalculation.com/statistics/normal-ztable.phpRate this question:
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