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题目内容
List S consists of 10 positive numbers. The range of the numbers in S is 124. Each of the numbers in S will be increased by $$x$$ percent, where $$x \gt 0$$. List T consists of the 10 resulting numbers.

Quantity A

The range of the numbers in T

Quantity B

124
The range of a list of numbers is greater than 0.

Quantity A

The range of the list of numbers after multiplying each number by 7

Quantity B

The range of the list of numbers after multiplying each number by 7 and then adding 10 to each number
List A : x, x+1, x+1, x+1, x+2. Each number in List A plus three times the range of list A make up list B.How much more is the average of List B than A?
There are 80 numbers in set A and their variance is 0, set B is formed by the 80 numbers in set A and another number 92, and the average of the 81 numbers in set B is 12. What is the variance of the numbers in set B?

Quantity A

The standard deviation of the heights of 12 children whose mean height is 50 inches

Quantity B

The standard deviation of the heights of 10 children whose mean height is 60 inches
List A has 32 numbers, with an average of 72, standard deviation of 8. List B has 45 numbers, with an average of 72, standard deviation of 10.

Quantity A

The median of list A

Quantity B

The median of list B


The table shows the means and ranges of two data sets, X and Y, each containing the same number of measurements.

Quantity A

The standard deviation of data set X

Quantity B

The standard deviation of data set Y
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean $$\overline{x}$$ is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences $$(x_{i} - \overline{x})^{2}$$ for 1 ≤ i ≤ n.

If the standard deviation of the 5 numbers 20-2c, 20-c, 20, 20+c, and 20+2c is greater than 6, which of the following could be the value of c?

Indicate all such values.
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean x is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences, $$(x_{i} - x)^{2}$$ for 1 ≤ i ≤ n.

In a set of data, 1 appears k times, 5 appears k times, and 3 appears once. What is the minimum k to make the standard deviation greater than 1.95 ?
The average of a list of 17 numbers is 0, and the standard deviation of these numbers is 40. If a new number is added to the list, the average remains the same, then what is the new standard deviation of the list?

Give your answer to the nearest hundredths digit.
Set A={1, 2, 3, 4, 5}

Set B={6, 7, 8, 9, 10}

Quantity A

The standard deviation of all the numbers in Set A

Quantity B

The standard deviation of all the numbers in Set B
List A: 13.2, 14.2, 15.2, 16.2, 17.2

List B can be formed by dividing all the numbers in List A by 0.2

List C can be formed by multiplying all the numbers in List A by 0.2

Which of the following statement illustrates the exact order of standard deviation of these lists of numbers from the lowest to the greatest?
List B is composed by subtracting 5 from each number in List A.

Which aspect of List B is 5 less than the same aspect of List A?

Indicate all such aspects.
In the xy-plane, 8 data points lie on the line with equation y=40+5x. If the standard deviation of the x-coordinates of the 8 points is 4.6, what is the standard deviation of the y-coordinates of the 8 points?
List A: 27, 28, 30, 32, 33

List B: 28, 29, 30, 31, 32

List C: 37, 38, 40, 42, 43

List D: 38, 39, 40, 41, 42

Which of the following statements illustrate the exact order of standard deviation of these sets of numbers from the greatest to the lowest?

Quantity A

The standard deviation of the numbers 45, 64, 83, and 53

Quantity B

The standard deviation of the numbers 55, 81, 47, and 62
Set A={9, 13, 4, 2, 7}

Set B={9, 13, 4, 2, 9}

Set C={9, 13, 4, 2, 4}

Set D={9, 13, 4, 2, 6}

Which of the following statement illustrates the exact order of standard deviation of these sets of numbers from the lowest to the greatest?
Five different families received tax bills at the beginning of the year. Later, the four lowest tax bills were each reduced by $200 while the highest tax bill remained the same.

Quantity A

The standard deviation of the original five tax bills

Quantity B

The standard deviation of the resulting five tax bills after the four lowest tax bills were reduced
As a part of an environmental study of a river, a random sample of trout was drawn from the river and the lengths of the trout were recorded. The average (arithmetic mean) length was 14.31 inches. If a length of 16.89 inches was 1.50 standard deviations above the average, what was the standard deviation of the lengths of the trout in the sample?
The standard deviation of numbers in List A is 6, while the standard deviation of numbers in List B is 8

Quantity A

2 standard deviation above the mean in list A

Quantity B

1 standard deviation above the mean in list B

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