Free Online ATI TEAS Test Practice with Answers 11

7. The table below shows the scores of 5 students at an exam:

Ati teas12 2

Which of the following statements correctly describes the above information?Please select all that apply.

A. The mean is greater than the median for this collection.
B. The median is greater than the range for this collection.
C. The range is less than half of the median for this collection.
D. The mean is equal to the median for this collection.
D. There is no mode.

Correct Answer: B

Answer Explanation:

Step 1: Calculate the mean.
The sum of all numbers in the collection can be calculated as follows:
76 + 85 + 93 + 56 + 61 = 371
The mean can now be found as:
mean = (371 ÷ 5) = 74.2
Step 2: Determine the median.
Arrange the numbers in ascending order:
56, 61, 76, 85, 93
We have been given an odd number of values, so we just need to see which number is in the middle.
56, 61, 76, 85, 93
Hence, the median of this collection is 76.
Step 3: Find the mode.
The mode of this collection does not exist since none of the numbers are repeated.
Step 4: Calculate the range of the collection.
The range of the collection is:
93 – 56 = 37
We can see that the median is greater than the range. The median is 76 and the range is 37. 37 is less than half of the median.

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8. Oscar ordered food delivery for his family dinner. The total of the order was $122.19. If he was charged a 7% service fee and gave a 15% tip on the bill after the service fee, what was the final total of his order?

A. $62.33
B. $125.86
C. $150.35
D. $144.74

Correct Answer: C

Answer Explanation:

Step 1: Interpret the problem.
First, we will determine the fee percentage amount and add that to the initial amount. When calculating a percentage, we multiply the percentage by the given total. Fee Percentage x Initial Total = Fee Percentage Amount
Step 2: Convert the service fee percent to a decimal.
In order to change a percent into a decimal, we divide the percent by 100, which is the same as moving the decimal two spots to the left.
7% = 7. %
7.% → 0.07
Step 3: Determine the fee amount and find the first total.
Now that our percent has been turned into a decimal we can multiply:
0.07 × 122.19 = 8.5533
*Note: We will not be rounding here, we will round at the end of the problem.
To determine our first total, we add the percentage fee amount to our initial amount. 122.19 + 8.5533 = 130.7433
Step 4: Convert the tip percent to a decimal.
15% = 15. %
15.% → 0.15
15% as a decimal is 0.15.
Step 5: Determine the tip percentage amount and find the final total.
Remember that we are finding the tip based on the bill after the service fee, so we will use the total amount calculated in step 3 here.
0.15 × 130.7433 = 19.611495
*Note: We will not be rounding here, we round at the end
of the problem.
To determine our final total, we add the tip percentage amount to our first total (130.7433). 130.7433 + 19.611495 = 150.354795
When a math problem has a final answer that represents a monetary quantity, the final answer must be rounded to the nearest hundredth, unless otherwise directed.150.354795 = $150.35
The final total of Oscar’s order was $150.35.

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9. What is the area of a circle with a radius of 9 in? (Use 3.14 for π)

A. 127.17 in²
B. 254.34 in²
C. 56.52 in²
D. 85.46 in²

Correct Answer: B

Answer Explanation:

Remember the formula for the area of a circle:
πr² = area
OR
π × r × r = area
Step 1: Substitute our numbers into the equation.
3.14 × 9 in × 9 in
Step 2: Solve.
First, we will multiply the first two numbers.
3.14 x 9 = 28.26 in
Now we multiply the 28.26 and the second 9.
28.26 x 9 = 254.34 in2
The area is 254.34 in²

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