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Sample P: 0.8, 0.9, 0.9, 1.0

Sample Q: 1.0, 1.0, 1.0, 1.0

Sample R: 0.8, 0.8, 1.0, 1.0

Sample S: 0.7, 0.7, 0.9, 0.9

Sample T: 0.9, 1.0, 1.0, 1.1

Five samples of 4 washers each were taken from a production line. The inside diameter of each washer was recorded to the nearest 0.1 centimeter, as shown above. For which of the samples is the standard deviation of the measurements greater than the standard deviation of the measurements for sample P?

Indicate all such samples.
Each of the following linear equations defines y as a function of x for all integers x from 1 to 100. For which of the following equations is the standard deviation of the y-values corresponding to all the x-values the greatest?
A list of numbers from 20 to 40 has a standard deviation of x. By which of the following methods will the standard deviation decrease the most?
Someone needs to import a number of sets of bottles. Each bottle charges $12.04, and it also charges $4.8 for shipping each set (not single bottle but a whole set). The standard deviation of numbers of bottles in each set is 1.5. What is the standard deviation of the prices for each set?
Give your answer as a decimal.

Quantity A

The standard deviation of 11, 22 and 33

Quantity B

The standard deviation of 111, 222 and 333


n > 2

List M={2, n, n, n}

List N={2, 2, 2, n}

Quantity A

The standard deviation of List M

Quantity B

The standard deviation of List N



The preceding frequency distributions represent two groups of data. Each of the data values is a multiple of 10.

Quantity A

The standard deviation of distribution C

Quantity B

The standard deviation of distribution D


Set A={3, 5, 7, 8, 8, 9, 10, 11, 12}
Set B={3, 5, 7, 9, 10, 11, 12}

Quantity A

The standard deviation of all the numbers in Set A

Quantity B

The standard deviation of all the numbers in Set B


For what value of $$a$$ does the standard deviation of the numbers $$a$$, 1, 7 have the least value?
A set of numbers include 4, 6, 12, 14, X
X must be which of the following integer so that the standard deviation of the set of is the lowest?
Set A={500, 600, 700, 900, 1200}
Set B={500, 600, 800, 900, 1200}

Quantity A

The standard deviation of all the numbers in Set A

Quantity B

The standard deviation of all the numbers in Set B


If x is the standard deviation of a, b, c, d, e, and y is the standard deviation of a-3, b-2, c, d+2, e+3.

Quantity A

x

Quantity B

y


Quantity A

The standard deviation of a, b, c, d and e

Quantity B

The standard deviation of a+1, b, c, d and e-1


A list of numbers has a mean of 8 and a standard deviation of 2.5. If x is a number in the list that is 2 standard deviations above the mean, what is the value of x?
For a certain distribution, the measurement 12.1 is 1.5 standard deviations below the mean, and the measurement 17.5 is 3.0 deviations above the mean. What is the mean of the of distribution?
The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Which of the following numbers of hours are within 2 standard deviations of the mean of the distribution?
Indicate all such numbers
A random variable Y is normally distributed with a mean of 200 and a standard deviation of 10.

Quantity A

The probability of the event that the value of Y is greater than 220

Quantity B

$$\frac{1}{6}$$


Set Y is normally distributed with a mean of 50 and a standard deviation of 5.4.

Quantity A

The percentage of number between 42.8 to 44.6

Quantity B

The percentage of number between 53.6 to 55.4




The figure above shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.

A survey of 5,500 book readers found that the number of books read per year was approximately normally distributed with mean 19.0 and standard deviation 2.0. Which of the following is the best description of the numbers of books read per year by the 880 book readers who read the most books?
The result of a survey is normally distributed with a mean of 500 and a standard deviation of 100. If the number of variables ranging 500 to 600 is 10,200 numbers, then how many numbers in the survey are less than 400?

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