Maths-
SAT
Easy
Question
Ages of 20 Students Enrolled in a College Class
|
Age |
Frequency |
|
18 |
6 |
|
19 |
5 |
|
20 |
4 |
|
21 |
2 |
|
22 |
1 |
|
23 |
1 |
|
30 |
1 |
- mode < median < mean
- mode < mean < median
- median < mode < mean
- mean < mode < median
The correct answer is: mode < median < mean
Given the ages of 20 students are
18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 22, 23, 30.
Thus the median is 19
Mean = (18 + 18 + 18 + 18 + 18 + 18 + 19 + 19 + 19 + 19 + 19 + 20 + 20 + 20+ 20 + 21 + 21 + 22 + 23 + 30)/20
= 400/20 = 20
Mean = 20
Mode = 18
Thus mode < median < mean
Related Questions to study
maths-
Number of Adults Contracting Colds
|
|
Cold |
No cold |
Total |
|
Vitamin C |
21 |
129 |
150 |
|
Sugar pill |
33 |
117 |
150 |
|
Total |
54 |
246 |
300 |
Number of Adults Contracting Colds
|
|
Cold |
No cold |
Total |
|
Vitamin C |
21 |
129 |
150 |
|
Sugar pill |
33 |
117 |
150 |
|
Total |
54 |
246 |
300 |
maths-sat
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A granite block in the shape of a right rectangular prism has dimensions 30 centimeters by 40 centimeters by 50 centimeters. The block has a density of 2.8 grams per cubic centimeter. What is the mass of the block, in grams? (Density is mass per unit volume.)
A granite block in the shape of a right rectangular prism has dimensions 30 centimeters by 40 centimeters by 50 centimeters. The block has a density of 2.8 grams per cubic centimeter. What is the mass of the block, in grams? (Density is mass per unit volume.)
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Roberto is an insurance agent who sells two types of policies: a $50,000 policy and a $100,000 policy. Last month, his goal was to sell at least 57 insurance policies. While he did not meet his goal, the total value of the policies he sold was over $3,000,000. Which of the following systems of inequalities describes x, the possible number of $50,000 policies, and y, the possible number of $100,000 policies, that Roberto sold last month?
Roberto is an insurance agent who sells two types of policies: a $50,000 policy and a $100,000 policy. Last month, his goal was to sell at least 57 insurance policies. While he did not meet his goal, the total value of the policies he sold was over $3,000,000. Which of the following systems of inequalities describes x, the possible number of $50,000 policies, and y, the possible number of $100,000 policies, that Roberto sold last month?
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Volume 
The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces.
Water pours into the glass slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills?
Volume
The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces.
Water pours into the glass slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills?
maths-sat
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One pound of grapes costs $2. At this rate, how many dollars will c pounds of grapes cost?
One pound of grapes costs $2. At this rate, how many dollars will c pounds of grapes cost?
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Note: Figure not drawn to scale.
In the figure above, 
and 
are parallel, 
and 
are parallel, CD = CE, and the measure of ∠ABC is 115°. What is the measure of ∠BCD ?
Note: Figure not drawn to scale.
In the figure above, and are parallel, and are parallel, CD = CE, and the measure of ∠ABC is 115°. What is the measure of ∠BCD ?
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x(x + 2) = 8
Which of the following lists all solutions to the quadratic equation above?
x(x + 2) = 8
Which of the following lists all solutions to the quadratic equation above?
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5x2 − 3(1 − x) − 2x(x + 5)
Which of the following polynomials is equivalent to the expression above?
5x2 − 3(1 − x) − 2x(x + 5)
Which of the following polynomials is equivalent to the expression above?
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C = 10x + 4y
The formula above gives the monthly cost C, in dollars, of operating a delivery truck when the driver works a total of x hours and when y gallons of gasoline are used. If, in a particular month, it cost no more than $2,000 to operate the truck and at least 150 gallons of gas were used, what is the maximum number of hours the river could have worked?
C = 10x + 4y
The formula above gives the monthly cost C, in dollars, of operating a delivery truck when the driver works a total of x hours and when y gallons of gasoline are used. If, in a particular month, it cost no more than $2,000 to operate the truck and at least 150 gallons of gas were used, what is the maximum number of hours the river could have worked?
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A farmer sold 108 pounds of produce that consisted of z pounds f zucchini and c pounds of cucumbers. The farmer sold the zucchini for $1.69 per pound and the cucumbers for $0.99 per pound and collected a total of $150.32. Which of the following systems of equations can be used to find the number of pounds of zucchini that were sold?
A farmer sold 108 pounds of produce that consisted of z pounds f zucchini and c pounds of cucumbers. The farmer sold the zucchini for $1.69 per pound and the cucumbers for $0.99 per pound and collected a total of $150.32. Which of the following systems of equations can be used to find the number of pounds of zucchini that were sold?
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An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
maths-sat
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An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria’s car is 0.30 meter, what is the approximate speed of Maria’s car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
(1 kilometer = 1000 meters)
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria’s car is 0.30 meter, what is the approximate speed of Maria’s car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
(1 kilometer = 1000 meters)
maths-sat
maths-
Ticket Prices by Row Number
|
Row number |
Ticket price |
|
1-2 |
$ 25 |
|
3-10 |
$20 |
|
11-20 |
$ 15 |
They will purchase 3 tickets for seats in row 1.
They will purchase 2 tickets for seats in row 3.
They will purchase 2 tickets for seats in row 4.
They will purchase 3 tickets for seats in row 12.
What is the average (arithmetic mean) ticket price, in dollars, for the 10 tickets? (Disregard the $ sign when gridding your answer.
Ticket Prices by Row Number
|
Row number |
Ticket price |
|
1-2 |
$ 25 |
|
3-10 |
$20 |
|
11-20 |
$ 15 |
They will purchase 3 tickets for seats in row 1.
They will purchase 2 tickets for seats in row 3.
They will purchase 2 tickets for seats in row 4.
They will purchase 3 tickets for seats in row 12.
What is the average (arithmetic mean) ticket price, in dollars, for the 10 tickets? (Disregard the $ sign when gridding your answer.
maths-sat
maths-
|
Sunflower Growth |
|
|
Day |
Height (cm) |
| 0 |
0.00 |
| 7 |
17.93 |
| 14 |
36.36 |
| 21 |
67.76 |
| 28 |
98.10 |
| 35 |
131.00 |
| 42 |
169.50 |
| 49 |
205.50 |
| 56 |
228.30 |
| 63 |
247.10 |
| 70 |
250.50 |
| 77 |
253.80 |
|
84 |
254.50 |
In 1919, H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.
The function h, defined by h(t) = at + b, where a and b are constants, models the height, in centimeters, of the sunflower after t days of growth during a time period in which the growth is approximately linear. What does a represent?
|
Sunflower Growth |
|
|
Day |
Height (cm) |
| 0 |
0.00 |
| 7 |
17.93 |
| 14 |
36.36 |
| 21 |
67.76 |
| 28 |
98.10 |
| 35 |
131.00 |
| 42 |
169.50 |
| 49 |
205.50 |
| 56 |
228.30 |
| 63 |
247.10 |
| 70 |
250.50 |
| 77 |
253.80 |
|
84 |
254.50 |
In 1919, H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.
The function h, defined by h(t) = at + b, where a and b are constants, models the height, in centimeters, of the sunflower after t days of growth during a time period in which the growth is approximately linear. What does a represent?
maths-sat
maths-
Century and Region of United States Presidents’ Births as of 2014
|
|
Century |
||
|
18th |
19th |
20th |
|
|
Northeast |
5 |
6 |
3 |
|
South |
9 |
4 |
3 |
|
Midwest |
0 |
9 |
2 |
|
West |
0 |
0 |
2 |
Century and Region of United States Presidents’ Births as of 2014
|
|
Century |
||
|
18th |
19th |
20th |
|
|
Northeast |
5 |
6 |
3 |
|
South |
9 |
4 |
3 |
|
Midwest |
0 |
9 |
2 |
|
West |
0 |
0 |
2 |
maths-sat
