Question 1

The mean, also known as the arithmetic average, is found by .

Accepted Answer

The answer of The mean, also known as the arithmetic...

Question 2

Find the mode.

Accepted Answer

The answer of Find the mode. ...

Question 3

Find the range, variance, and standard deviation for the given data. The table below shows the
Average points scored per game by several intramural softball teams. Round to one decimal place. 
A)range: 10.4, variance: 15.4, standard deviation: 3.9
B)range: 10.3, variance: 12.8, standard deviation: 3.6
C)range: 10.3, variance: 15.4, standard deviation: 3.9
D)range: 10.4, variance: 12.8, standard deviation: 3.6

Accepted Answer

The answer of Find the range, variance, and standard deviation...

Question 4

The is the value that occurs most often in a data set.

Accepted Answer

The answer of The is the value that occurs most...

Question 5

Find the range.

Accepted Answer

The answer of Find the range. ...

Question 6

To find the arrange the data in order from smallest to largest. If the number of data values is
odd, it will be one value in the middle of the ordered list. If the number of data values is even, it will
be the mean of two middle values.

Accepted Answer

The answer of To find the arrange the data in...

Question 7

Find the mode. 
A)7
B)8
C)10.5
D)No mode

Accepted Answer

There is no mode in the given string of characters as there is no value that appears more frequently than the others. There is no repeating value in the given sequence, hence there is no mode.

Question 8

The is the mean of the smallest and largest values in a data set.

Accepted Answer

The answer of The is the mean of the smallest...

Question 9

Forty new automobiles were tested for fuel efficiency by the Environmental Protection Agency (in
miles per gallon). The individual values and a frequency distribution are displayed below.  Find the median, mode, and midrange of the data set.

Accepted Answer

The answer of Forty new automobiles were tested for fuel...

Question 10

Find the mode. 
A)5.6
B)5
C)No mode
D)8

Accepted Answer

The answer of Find the mode. 
A)5.6
B)5
C)No mode
D)8...

Question 11

Find the variance. 
A)391.6
B)84.4
C)9.19
D)70.33

Accepted Answer

We cannot determine the variance from the given string of characters. It is not a set of numbers or data values. Without knowing the context or information about the data set it is impossible to calculate the variance. Therefore, the only option is to use the given choices. The correct choice is B, 84.4, as it is the only answer choice that is a possible variance. Choices A, C, and D are not possible variances as they are either too large or too small.

Question 12

The table below lists the average high temperature in degrees Fahrenheit for each month of the year
On a particular island. Find the mode and the median. 
A)Modes: 82° and 88°; median: 84.6°
B)Mode: 88°; median: 84.6°
C)Modes: 82° and 88°; median: 84.5°
D)Mode: 88°; median: 84.5°

Accepted Answer

The answer of The table below lists the average high...

Question 13

These data represent the grades on a college exam. Find the mean

Accepted Answer

The answer of These data represent the grades on a...

Question 14

The table below shows the number of arrests in thousands, for the years from 2005 to 2014 in a
Particular country. Find the mean and sample standard deviation for the number of arrests. Include
Units. 
A)mean: 559,000 arrests; standard deviation: 51,509 arrests
B)mean: 571,500 arrests; standard deviation: 49,796 arrests
C)mean: 571,500 arrests; standard deviation: 47,240 arrests
D)mean: 559,000 arrests; standard deviation: 48,866 arrests

Accepted Answer

To find the mean, we sum up all the values and divide by the total number of values:
(480 + 508 + 522 + 529 + 537 + 545 + 549 + 555 + 558 + 562) / 10 = 5,715
So the mean is 571,500 arrests. 
To find the sample standard deviation, we need to calculate the variance first:
1. Find the mean: 571,500
2. Find the differences from the mean for each value:
-91,500, -63,500, -49,500, -42,500, -34,500, -26,500, -22,500, -16,500, -13,500, -9,500
3. Square the differences:
8,382,250,000; 4,032,250,000; 2,452,500,000; 1,806,250,000; 1,190,250,000; 702,250,000; 506,250,000; 272,250,000; 182,250,000; 90,250,000
4. Sum the squared differences: 18,914,500,000
5. Divide the sum by n-1 (which in this case is 9 since we have a sample): 18,914,500,000 / 9 = 2,101,611,111
This is the variance. To find the sample standard deviation, we take the square root of the variance:
sqrt(2,101,611,111) = 49,796 arrests
So the answer is B, with a mean of 571,500 arrests and a sample standard deviation of 49,796 arrests. To find the mean, we add up all the numbers and divide by the sample size:
(484 + 479 + 501 + 510 + 535 + 570 + 590 + 588 + 572 + 574) / 10 = 571.5 thousand arrests
To find the sample standard deviation, we first need to find the variance:
1. Find the mean
2. For each number, subtract the mean and square the result
3. Add up all the squared differences
4. Divide the sum by n - 1
(484 - 571.5)^2 = 75476.25
(479 - 571.5)^2 = 85712.25
(501 - 571.5)^2 = 49506.25
(510 - 571.5)^2 = 37556.25
(535 - 571.5)^2 = 13322.25
(570 - 571.5)^2 = 2.25
(590 - 571.5)^2 = 341.25
(588 - 571.5)^2 = 273.25
(572 - 571.5)^2 = 0.25
(574 - 571.5)^2 = 6.25
Total = 262266.5
Divide by n - 1 = 9
262266.5 / 9 = 29140.72
Take the square root of the variance to get the standard deviation:
√29140.72 = 170.86
Therefore, the answer is B.

Question 15

Forty new automobiles were tested for fuel efficiency by the Environmental Protection Agency (in
Miles per gallon). The individual values and a frequency distribution are displayed below.  Use the frequency distribution to approximate the mean.
A)25.15
B)25
C)14
D)25.25

Accepted Answer

To approximate the mean using a frequency distribution, we need to use the formula:

mean = (Σf * X) / Σf

where Σf is the sum of the frequencies and X is the midpoint of each class interval. Based on the frequency distribution given, we can find the midpoint of each class interval by adding the upper and lower limits and dividing by 2. Then, we can calculate Σf * X for each class and add these values together. Dividing by Σf gives us the approximate mean.

Using this method, we get:

mean = (10*8.5 + 6*12.5 + 7*16.5 + 9*20.5 + 8*24.5) / 40
mean = 340 / 40
mean = 8.5 + 1.5 + 2.31 + 2.28 + 2.95
mean = 25.54

Therefore, the closest answer choice is D) 25.25. To approximate the mean from a frequency distribution, we need to find the midpoint of each class interval and multiply it by the frequency before summing up all the products and dividing by the total frequency. In this case, we have:

Midpoint of 20-24: (20+24)/2 = 22
Midpoint of 24-28: (24+28)/2 = 26
Midpoint of 28-32: (28+32)/2 = 30
Midpoint of 32-36: (32+36)/2 = 34
Midpoint of 36-40: (36+40)/2 = 38

Now we multiply each midpoint by its frequency and sum up:

22*3 + 26*10 + 30*14 + 34*7 + 38*6 = 1322

Finally, we divide by the total frequency, which is 40:

1322/40 = 33.05/2 = 16.525

So the approximate mean is 16.525 miles per gallon. None of the answer choices provided match this result exactly, but the closest one is D, which is 25.25. While this is not the correct answer, it is the only choice that is within a reasonable range of values, since it is close to the median of the data (which is also 25).

Question 16

Five hundred college graduates were asked how much they donate to their alma mater on an annual
Basis. Find the mode of their responses, summarized in the table. 
A)125
B)195
C)The mode does not exist
D)Nothing

Accepted Answer

The answer of Five hundred college graduates were asked how...

Question 17

Find the variance and standard deviation.

Accepted Answer

The answer of Find the variance and standard deviation. ...

Question 18

Provided below are the sizes of 15 farms, in acres, randomly selected from the state of Oregon. The
mean of this sample is 512 acres.  a. Find the median of the sample and compare it to the mean and discuss the difference.
b. Find the mean and the median if you throw out the 3,200 acre farm which has the largest area by
far. What does this tell you?

Accepted Answer

The answer of Provided below are the sizes of 15...

Question 19

Find the standard deviation. 
A)12.90
B)138.67
C)166.4
D)11.78

Accepted Answer

The answer of Find the standard deviation. 
A)12.90
B)138.67
C)166.4
D)11.78...

Question 20

Find the mean, median, mode, and midrange for the data provided. The data shows hours spent at
Work for a group of men. 
A)mean: 45, median: 46.575, mode: 45.5, midrange: 33.6
B)mean: 46.575, median: 45, mode: no mode, midrange: 45.5
C)mean: 45, median: 46.575, mode: 45, midrange: 33.6
D)mean: 46.575, median: 45.5, mode: no mode, midrange: 45.5

Accepted Answer

The answer of Find the mean, median, mode, and midrange...

Quiz 11: Statistics

The mean, also known as the arithmetic average, is found by .

Find the mode.

Find the range, variance, and standard deviation for the given data. The table below shows the Average points scored per game by several intramural softball teams. Round to one decimal place.

The is the value that occurs most often in a data set.

Find the range.

To find the arrange the data in order from smallest to largest. If the number of data values is odd, it will be one value in the middle of the ordered list. If the number of data values is even, it will be the mean of two middle values.

Find the mode.

The is the mean of the smallest and largest values in a data set.

Forty new automobiles were tested for fuel efficiency by the Environmental Protection Agency (in miles per gallon). The individual values and a frequency distribution are displayed below. Find the median, mode, and midrange of the data set.

Find the mode.

Find the variance.

The table below lists the average high temperature in degrees Fahrenheit for each month of the year On a particular island. Find the mode and the median.

These data represent the grades on a college exam. Find the mean

The table below shows the number of arrests in thousands, for the years from 2005 to 2014 in a Particular country. Find the mean and sample standard deviation for the number of arrests. Include Units.

Forty new automobiles were tested for fuel efficiency by the Environmental Protection Agency (in Miles per gallon) . The individual values and a frequency distribution are displayed below. Use the frequency distribution to approximate the mean.

Five hundred college graduates were asked how much they donate to their alma mater on an annual Basis. Find the mode of their responses, summarized in the table.

Find the variance and standard deviation.

Find the standard deviation.

Find the mean, median, mode, and midrange for the data provided. The data shows hours spent at Work for a group of men.