Question 1

The wages of employees of a small accounting firm are as follows. Draw a line graph that represents the distribution, and the y-axis represent the number. $60000, $14000, $25000, $25000, $16000, $30000,
$18000, $20000, $25000, $30000, $18000, $35000,
$50000
​​

Accepted Answer

The x-axis of the graph represents the different wage values. The y-axis represents the frequency or number of occurrence of each wage. Using the given values, we can create a frequency table:

Wage       Frequency
$14,000       1
$16,000       1
$18,000       2
$20,000       1
$25,000       3
$30,000       2
$35,000       1
$50,000       1
$60,000       1

Then, we can plot the points and draw a line to connect them:

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Question 2

A newspaper article discussing whether Social Security could be cut offered the information shown in figure. Use the information in these graphs to answer the question.  There seems to be an error in one of the three line graphs. What is it?

Accepted Answer

The line graph at right begins at 50 rather than 0.

Question 3

The mean is sometimes called the arithmetic mean to distinguish it from other possible means. For example, a different mean, called the harmonic mean (H.M.), is used to average speeds. This mean is defined to be the sum of the reciprocals of all scores divided into the number of scores. For example, the harmonic mean of the numbers 4, 5, 6, 6, 7, 8 is  Find the arithmetic mean and the harmonic mean of the numbers 1, 1, 6, 6, 7, 8, 8, 9, 9, and 10.
Round your answers to the nearest tenth.
The arithmetic mean is
__________
The harmonic mean is
__________

Accepted Answer

The answer of The mean is sometimes called the arithmetic...

Question 4

The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a certain month, a home used 2,000 kwh (kilowatt-hours), find the amounts of electricity used by the water heater from the graph. ​  ​

Accepted Answer

From the graph, we can see that the water heater accounts for 11% of the total electricity used in the home. To find the amount of electricity used by the water heater, we can multiply the total electricity used (2,000 kwh) by the percentage (11% or 0.11):
2,000 kwh x 0.11 = 220 kwh
Therefore, the amount of electricity used by the water heater is 220 kwh, which is answer choice C.

Question 5

The wages of employees of a small accounting firm are as follows. $20,000, $25,000, $25,000, $25,000, $30,000, $30,000,
$35,000, $50,000, $60,000, $14,000, $18,000, $16,000,
$18,000
​
Prepare a frequency distribution.
​

Accepted Answer

The answer of The wages of employees of a small...

Question 6

The graph shows the distribution of scores on an examination. Decide whether the statement is true.
The mean is greater than the mode.  Answer yes or no.

Accepted Answer

The answer of The graph shows the distribution of scores...

Question 7

The mean is sometimes called the arithmetic mean to distinguish it from other possible means. For example, a different mean, called the geometric mean (G.M.), is used in business and economics for finding average rates of change, average rates of growth, or average ratios. This mean is defined to be the nth root of the product of the numbers. For example, the geometric mean of the numbers 4, 5, and 6 is ​  ​
Find the arithmetic and geometric means for the numbers 2, 4, 6, 7, 7, 8 and 10.
​
Round your answers to the nearest hundredth.
​

Accepted Answer

The answer of The mean is sometimes called the arithmetic...

Question 8

Consider the graph and statement shown. Is the graph correct or misleading?
​

Accepted Answer

The answer of Consider the graph and statement shown. Is...

Question 9

A newspaper article discussing whether Social Security could be cut offered the information shown in figure. Use the information in these graphs to answer the question.  There seems to be an error in the pictograph. What is it?

Accepted Answer

The pictograph appears to use three-dimensional objects (in this case, blocks) to represent linear data, which can be misleading and confusing.

Question 10

The figure shows a line graph. During which month did Herb incur the most expenses?
​

Accepted Answer

The answer of The figure shows a line graph. During...

Question 11

Consider the graph and statement shown. Is the graph correct or misleading?

Accepted Answer

The graph is misleading because the y-axis starts at 160, which exaggerates the difference in the data. If the y-axis started at 0 or a lower value, the difference between the bars would not appear as extreme. Additionally, the bars are not proportionate to the data they represent, as the height of the bars should be directly proportional to the data they represent.

Question 12

Find the three measures of central tendency (the mean, median, and mode).
1, 6, 9, 14, 20
mean =
__________
median =
__________
mode =
__________
​
Answer no mode if needed.

Accepted Answer

The answer of Find the three measures of central tendency...

Question 13

Find the three measures of central tendency (the mean, median, and mode). Round your answers to the nearest tenth, if necessary.
0, 2, 2, 6, 8, 10, 11, 33
Answer no mode if needed.
mean =
__________
median =
__________
mode =
__________

Accepted Answer

The answer of Find the three measures of central tendency...

Question 14

The wages of employees of a small accounting firm are as follows. Draw a bar graph that represents the distribution. $60000, $14000, $25000, $25000, $16000, $30000,
$18000, $20000, $25000, $30000, $18000, $35000,
$50000
​
​

Accepted Answer

The answer of The wages of employees of a small...

Question 15

Find the range and the standard deviation (correct to two decimal places, if necessary).
1, 4, 6, 8, 10
range is
__________
deviation is
__________

Accepted Answer

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

Question 16

The mean is sometimes called the arithmetic mean to distinguish it from other possible means. For example, a different mean, called the geometric mean (G.M.), is used in business and economics for finding average rates of change, average rates of growth, or average ratios. This mean is defined to be the nth root of the product of the numbers. For example, the geometric mean of the numbers 4, 5, and 6 is  Find the arithmetic and geometric means for the numbers 2, 4, 5, 7, 7, 8 and 11.
Round your answers to the nearest hundredth, if necessary.
The arithmetic mean is
__________
The geometric mean is
__________

Accepted Answer

The answer of The mean is sometimes called the arithmetic...

Question 17

The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a certain month, a home used 1,200 kwh (kilowatt-hours), find the amounts of electricity used by the water heater, as displayed in the graph.
​  ​
__________ kwh

Accepted Answer

The answer of The amount of electricity used in a...

Question 18

The wages of employees of a small accounting firm are as follows. Draw a stem-and-leaf plot. $14,000, $16,000, $25,000, $25,000, $18,000, $30,000,
$20,000, $25,000, $30,000, $35,000, $18,000, $50,000,
$60,000
​

Accepted Answer

The answer of The wages of employees of a small...

Question 19

Find the range and the standard deviation. Round to the nearest hundredth, if necessary.
0, 1, 1, 6, 8, 9, 12, 20
range is
__________
deviation is
__________

Accepted Answer

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

Question 20

The figure shows a line graph. During which month did Herb incur the most expenses? ​  ​

Accepted Answer

The answer of The figure shows a line graph. During...

Quiz 14: The Nature of Statistics

The wages of employees of a small accounting firm are as follows. Draw a line graph that represents the distribution, and the y-axis represent the number. $60000, $14000, $25000, $25000, $16000, $30000, $18000, $20000, $25000, $30000, $18000, $35000, $50000

A newspaper article discussing whether Social Security could be cut offered the information shown in figure. Use the information in these graphs to answer the question. There seems to be an error in one of the three line graphs. What is it?

The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a certain month, a home used 2,000 kwh (kilowatt-hours) , find the amounts of electricity used by the water heater from the graph.

The wages of employees of a small accounting firm are as follows. $20,000, $25,000, $25,000, $25,000, $30,000, $30,000, $35,000, $50,000, $60,000, $14,000, $18,000, $16,000, $18,000 Prepare a frequency distribution.

The graph shows the distribution of scores on an examination. Decide whether the statement is true. The mean is greater than the mode. Answer yes or no.

Consider the graph and statement shown. Is the graph correct or misleading?

A newspaper article discussing whether Social Security could be cut offered the information shown in figure. Use the information in these graphs to answer the question. There seems to be an error in the pictograph. What is it?

The figure shows a line graph. During which month did Herb incur the most expenses?

Consider the graph and statement shown. Is the graph correct or misleading?

Find the three measures of central tendency (the mean, median, and mode). 1, 6, 9, 14, 20 mean = median = mode = __ Answer no mode if needed.

Find the three measures of central tendency (the mean, median, and mode). Round your answers to the nearest tenth, if necessary. 0, 2, 2, 6, 8, 10, 11, 33 Answer no mode if needed. mean = median = mode = __

The wages of employees of a small accounting firm are as follows. Draw a bar graph that represents the distribution. $60000, $14000, $25000, $25000, $16000, $30000, $18000, $20000, $25000, $30000, $18000, $35000, $50000

Find the range and the standard deviation (correct to two decimal places, if necessary). 1, 4, 6, 8, 10 range is deviation is

The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a certain month, a home used 1,200 kwh (kilowatt-hours), find the amounts of electricity used by the water heater, as displayed in the graph. __________ kwh

The wages of employees of a small accounting firm are as follows. Draw a stem-and-leaf plot. $14,000, $16,000, $25,000, $25,000, $18,000, $30,000, $20,000, $25,000, $30,000, $35,000, $18,000, $50,000, $60,000

Find the range and the standard deviation. Round to the nearest hundredth, if necessary. 0, 1, 1, 6, 8, 9, 12, 20 range is deviation is

The figure shows a line graph. During which month did Herb incur the most expenses?

Quiz 14: The Nature of Statistics

The wages of employees of a small accounting firm are as follows. Draw a line graph that represents the distribution, and the y-axis represent the number. $60000, $14000, $25000, $25000, $16000, $30000, $18000, $20000, $25000, $30000, $18000, $35000, $50000 ​​

A newspaper article discussing whether Social Security could be cut offered the information shown in figure. Use the information in these graphs to answer the question. There seems to be an error in one of the three line graphs. What is it?

The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a certain month, a home used 2,000 kwh (kilowatt-hours) , find the amounts of electricity used by the water heater from the graph. ​ ​

The wages of employees of a small accounting firm are as follows. $20,000, $25,000, $25,000, $25,000, $30,000, $30,000, $35,000, $50,000, $60,000, $14,000, $18,000, $16,000, $18,000 ​ Prepare a frequency distribution. ​

The graph shows the distribution of scores on an examination. Decide whether the statement is true. The mean is greater than the mode. Answer yes or no.

Consider the graph and statement shown. Is the graph correct or misleading? ​

A newspaper article discussing whether Social Security could be cut offered the information shown in figure. Use the information in these graphs to answer the question. There seems to be an error in the pictograph. What is it?

The figure shows a line graph. During which month did Herb incur the most expenses? ​

Consider the graph and statement shown. Is the graph correct or misleading?

Find the three measures of central tendency (the mean, median, and mode). 1, 6, 9, 14, 20 mean = __________ median = __________ mode = __________ ​ Answer no mode if needed.

Find the three measures of central tendency (the mean, median, and mode). Round your answers to the nearest tenth, if necessary. 0, 2, 2, 6, 8, 10, 11, 33 Answer no mode if needed. mean = __________ median = __________ mode = __________

The wages of employees of a small accounting firm are as follows. Draw a bar graph that represents the distribution. $60000, $14000, $25000, $25000, $16000, $30000, $18000, $20000, $25000, $30000, $18000, $35000, $50000 ​ ​

Find the range and the standard deviation (correct to two decimal places, if necessary). 1, 4, 6, 8, 10 range is __________ deviation is __________

The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a certain month, a home used 1,200 kwh (kilowatt-hours), find the amounts of electricity used by the water heater, as displayed in the graph. ​ ​ __________ kwh

The wages of employees of a small accounting firm are as follows. Draw a stem-and-leaf plot. $14,000, $16,000, $25,000, $25,000, $18,000, $30,000, $20,000, $25,000, $30,000, $35,000, $18,000, $50,000, $60,000 ​

Find the range and the standard deviation. Round to the nearest hundredth, if necessary. 0, 1, 1, 6, 8, 9, 12, 20 range is __________ deviation is __________

The figure shows a line graph. During which month did Herb incur the most expenses? ​ ​

The wages of employees of a small accounting firm are as follows. Draw a line graph that represents the distribution, and the y-axis represent the number. $60000, $14000, $25000, $25000, $16000, $30000, $18000, $20000, $25000, $30000, $18000, $35000, $50000

The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a certain month, a home used 2,000 kwh (kilowatt-hours) , find the amounts of electricity used by the water heater from the graph.

The wages of employees of a small accounting firm are as follows. $20,000, $25,000, $25,000, $25,000, $30,000, $30,000, $35,000, $50,000, $60,000, $14,000, $18,000, $16,000, $18,000 Prepare a frequency distribution.

Consider the graph and statement shown. Is the graph correct or misleading?

The figure shows a line graph. During which month did Herb incur the most expenses?

Find the three measures of central tendency (the mean, median, and mode). 1, 6, 9, 14, 20 mean = median = mode = __ Answer no mode if needed.

Find the three measures of central tendency (the mean, median, and mode). Round your answers to the nearest tenth, if necessary. 0, 2, 2, 6, 8, 10, 11, 33 Answer no mode if needed. mean = median = mode = __

The wages of employees of a small accounting firm are as follows. Draw a bar graph that represents the distribution. $60000, $14000, $25000, $25000, $16000, $30000, $18000, $20000, $25000, $30000, $18000, $35000, $50000

Find the range and the standard deviation (correct to two decimal places, if necessary). 1, 4, 6, 8, 10 range is deviation is

The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a certain month, a home used 1,200 kwh (kilowatt-hours), find the amounts of electricity used by the water heater, as displayed in the graph. __________ kwh

The wages of employees of a small accounting firm are as follows. Draw a stem-and-leaf plot. $14,000, $16,000, $25,000, $25,000, $18,000, $30,000, $20,000, $25,000, $30,000, $35,000, $18,000, $50,000, $60,000

Find the range and the standard deviation. Round to the nearest hundredth, if necessary. 0, 1, 1, 6, 8, 9, 12, 20 range is deviation is

The figure shows a line graph. During which month did Herb incur the most expenses?