Which of the following is the difference between the mean and the median number of tickets sold at the 5 schools?
|
School |
Number of Tickets Sold |
|
Lincoln |
200 |
|
Jefferson |
250 |
|
Washington |
300 |
|
Adams |
150 |
|
Jackson |
275 |
30
65
15
50
Correct Answer : C
To find the difference between the mean and the median number of tickets sold, let's follow these steps:
Step 1: List the number of tickets sold
- Lincoln: 200
- Jefferson: 250
- Washington: 300
- Adams: 150
- Jackson: 275
Step 2: Find the mean
Mean =(200+250+300+150+275)/5
=1175/5
=235
Step 3: Find the median
Sort the numbers: 150, 200, 250, 275, 300
The median is the middle value → 250
Step 4: Find the difference
Difference=∣235−250∣=15
Correct answer: C. 15
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Correct Answer is C
Explanation
We can solve this using a proportion, since the dose is directly proportional to the child's weight.
Step 1: Set up the proportion
20 mg/50 lb=x/ mg35 lb
Step 2: Solve for xxx
x =
=700/50
=14 mg
Correct answer: C. 14 mg
Correct Answer is D
Explanation
To display how often students get up after 8 a.m. on each day of the week, we are dealing with categorical data (days) and their frequencies.
Best option:
- A. Scatterplot – Not suitable for categorical data
- B. Pie graph – Good for showing parts of a whole, but not ideal for comparing frequencies across categories
- C. Histogram – Used for continuous numerical data, not categories like days
- D. Bar graph – Best choice for showing frequencies across distinct categories (like days of the week)
Correct answer: D. Bar graph
Correct Answer is D
Explanation
Let's convert all the values to decimals for easy comparison:
- A. 4.4 → already in decimal
- B. 4.25 → already in decimal
- C. 10/3 = 3.33...
- D. 9/2 = 4.5
Compare all values:
- A: 4.4
- B: 4.25
- C: 3.33
- D: 4.5
Correct answer: D. 9/2 (which equals 4.5, the greatest value)
Correct Answer is A
Explanation
To find the area of the largest circle that can fit entirely inside a rectangle measuring 8 cm by 10 cm, we need to consider that:
- The largest possible circle that fits inside a rectangle is one where the diameter = the shorter side of the rectangle.
Step 1: Determine the diameter of the largest circle
The shorter side of the rectangle is 8 cm, so:
- Diameter = 8 cm
- Radius = 8 ÷ 2 = 4 cm
Step 2: Calculate the area of the circle
Area=πr2=π(4)2=16π cm2
Correct answer: A. 16π cm²
Correct Answer is C
Explanation
We are given:
- Daily charge: $23 per day
- Mileage charge: $0.42 per mile
- Rented for 3 days
- Driven 125 miles
Step 1: Calculate the daily rental cost
3days×23=69dollars
Step 2: Calculate the mileage cost
125miles×0.42=52.50dollars
Step 3: Total bill
69+52.50=121.50
Correct answer: C. $121.50
Correct Answer is A
Explanation
We are given:
- Each person drinks 3 boxes of juice
- 38 people at the picnic
- 6 boxes per package
Step 1: Total boxes needed
38people×3boxesperperson=114boxes
Step 2: Number of packages needed
114boxes/6boxesperpackage=19packages
Best estimate (rounding up to ensure enough juice):
20packages
Correct answer: A. 20 packages
Correct Answer is A
Explanation
We are asked to find the probability that a PN or an RN is a female.
Let’s break it down using the table:
Total staff:
- Male PN: 30
- Male RN: 50
- Female PN: 50
- Female RN: 70
Total staff = 30 + 50 + 50 + 70 = 200
Total female PNs and RNs:
- Female PN: 50
- Female RN: 70
Total females = 50 + 70 = 120
Now calculate the probability:
P(female)=1202/00=3/5P
Correct answer: A. 3/5
Correct Answer is A
Explanation
To find the average rate of change per year in the child’s height from birth to age 4, we use the formula:
AverageRateofChange =
=
= 22/4=5.5inchesperyear
Correct answer: A. 5.5 inches per year
Correct Answer is C
Explanation
We are given:
- Monthly income: $2,586.00
- Deductions:
- Insurance: $517.20
- Federal taxes: $299.33
- Social security: $156.69
- State taxes: $99.77
Step 1: Add all deductions
517.20+299.33+156.69+99.77=1,072.99
Step 2: Subtract from gross income
2,586.00−1,072.99=1,513.01
Correct answer: C. $1,513.01
Correct Answer is A
Explanation
An inverse relationship means that as one variable increases, the other decreases.
Let’s evaluate the options:
- A. As the number of credit hours increases, the cost per credit hour decreases.
→ This is an inverse relationship. - B. As the number of credit hours decreases, the cost per credit hour decreases.
→ This is a direct relationship, not inverse. - C. Cost remains the same regardless of credit hours.
→ This shows no relationship. - D. Both increase together.
→ This is a direct relationship.
Correct answer: A.
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