# A Student Of Statistics? This Is A Quiz For You, Then!

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| By Sperberm08
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Sperberm08
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Quizzes Created: 1 | Total Attempts: 524
Questions: 12 | Attempts: 525  Settings  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.

Explanation

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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

A. 4
Explanation
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.

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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

A. True
Explanation
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.

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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

D. Divided by
Explanation
The mean is the sum of all the scores divided by the number of scores. The formula in summation notation is: μ = ΣX/N

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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

D. 2
Explanation
See here for an explanation: http://en.wikipedia.org/wiki/Standard_deviation#Basic_example

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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

D. Denominator minus 1
Explanation

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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

A. True
Explanation

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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

A. True
Explanation
This is true. See: http://en.wikipedia.org/wiki/Normal_distribution#Definition

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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

B. False
Explanation
This is false. By definition, all *normal* distributions are symmetric and have bell-shaped density curves with a single peak.

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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

D. 3
Explanation
If you got this incorrect, please review the section on normal distribution.

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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.

B. P = 0.8413
Explanation
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 = 0.8413

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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 Back to top