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What is the median of the following set of data: 11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13?
- A. 12
- B. 14
- C. 15
- D. 15.8
Correct Answer: B
Rationale: To find the median of a set of data, first arrange the numbers in ascending order: 11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26. Since there are 11 numbers in the set, the median will be the middle value. When arranged in ascending order, the middle value is 14, which makes it the median of the data set. Therefore, the correct answer is 14.
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A worker earns $8000.00 per week before any tax deductions. The following taxes are deducted each week: $83.00 federal income tax, $38.00 state income tax, and $79.00 social security tax. How much will the worker make in 4 weeks after taxes are deducted?
- A. $31,200.00
- B. $29,200.00
- C. $26,000.00
- D. $24,000.00
Correct Answer: A
Rationale: To determine the worker's earnings in 4 weeks after taxes are deducted, start by calculating the total weekly tax deductions: $83.00 + $38.00 + $79.00 = $200.00. Subtract the total weekly tax deductions from the weekly earnings: $8000.00 - $200.00 = $7800.00. Now, to find the total earnings after 4 weeks, multiply the weekly earnings after deductions by 4: $7800.00 x 4 = $31,200.00. Therefore, the worker will make $31,200.00 in 4 weeks after taxes are deducted.
If a bucket containing 2 4/5 gallons of water is 1/3 full, how many gallons of water are in one fully filled bucket?
- A. 6 4/5
- B. 14/15
- C. 2 7/15
- D. 8 2/5
Correct Answer: D
Rationale: To determine the full capacity of the bucket, we need to find out how much 2 4/5 gallons (1/3 of the bucket) represents. First, convert 2 4/5 to an improper fraction: 2 4/5 = 14/5. Since this amount represents 1/3 of the bucket, we multiply it by 3 to find the full capacity. 14/5 * 3 = 42/5 = 8 2/5. Therefore, one fully filled bucket contains 8 2/5 gallons of water.
A temperature gauge reads 95F. Which of the following is the correct conversion to degrees Celsius? (Note: C = 5/9[F - 32])
- A. 113C
- B. 63C
- C. 35C
- D. 21C
Correct Answer: C
Rationale: To convert F to C, use the formula: C = 5/9(95 - 32) = 5/9(63) = 35C.
A recipe calls for 2 1/2 cups of flour to yield 36 cookies. How much flour will be needed to make 90 cookies using the same recipe?
- A. 6 1/2 cups
- B. 10 1/2 cups
- C. 5 1/2 cups
- D. 4 1/2 cups
Correct Answer: A
Rationale: To determine the amount of flour needed for 90 cookies using the same recipe, set up a proportion: (90 cookies / 36 cookies) * 2.5 cups = 6.25 cups, which simplifies to 6 1/2 cups of flour. Therefore, to make 90 cookies, you will need 6 1/2 cups of flour, based on the original recipe's ratio of flour to cookies.
Which of the following statements demonstrates a negative correlation between two variables?
- A. Cars that are older tend to have higher mileage
- B. Tennis balls that are older tend to have less bounce
- C. Shorter people tend to weigh less than taller people
- D. People who play baseball more tend to have more hits
Correct Answer: B
Rationale: A negative correlation exists when one variable increases as the other variable decreases. In the statement 'Tennis balls that are older tend to have less bounce,' as the age of the tennis balls increases, the bounce decreases, establishing a negative correlation. This demonstrates an inverse relationship where increased age is associated with reduced bounce. Hence, choice B showcases a negative correlation between the variables, making it the correct answer.