FAST - Florida State Assessment Readiness Data Analysis and Probability Questions and Answers — Questions and Answers
Question 1: A student's scores on five science quizzes are 88, 92, 84, 92, and 100. What is the median score for this data set?
- 91.2
- 92 (Correct answer)
- 16
- 84
Correct answer: 92
To find the median, first order the data set from least to greatest: 84, 88, 92, 92, 100. The median is the middle number in the ordered set. In this case, the middle number is 92. The other answers are the mean (91.2), the mode (92, but the question asks for the median), and the range (16).
Question 2: A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn at random from the bag, what is the probability that it will be blue?
- 1/3
- 3/7
- 3/10 (Correct answer)
- 1/5
Correct answer: 3/10
The probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes. There are 3 blue marbles (favorable outcomes). The total number of marbles is 5 + 3 + 2 = 10 (total outcomes). Therefore, the probability of drawing a blue marble is 3/10.
Question 3: The bar graph below shows the number of different types of books checked out from a school library in one week. How many more fiction books were checked out than biography books?
- 20 (Correct answer)
- 70
- 25
- 15
Correct answer: 20
To solve this, you need to read the values from the bar graph for 'Fiction' and 'Biography' and then find the difference. The bar for Fiction reaches 45, and the bar for Biography reaches 25. The difference is 45 - 25 = 20.
Question 4: A real estate agent is analyzing the sale prices of five homes in a neighborhood: $310,000, $325,000, $340,000, $355,000, and $950,000. Which of the following statements is true about the effect of the highest-priced home on the measures of central tendency?
- The median will be significantly increased by the high price.
- The mode will be the most accurate representation of the typical price.
- The mean will be significantly increased by the high price. (Correct answer)
- The mean and median will be affected in the same way.
Correct answer: The mean will be significantly increased by the high price.
The value $950,000 is an outlier because it is much higher than the other values. The mean is calculated by summing all values and dividing, so it is sensitive to outliers. The high price will pull the mean upward significantly. The median is the middle value when the data is ordered, so it is less affected by extreme outliers.
Question 5: A restaurant offers a lunch special where customers can choose one sandwich, one side, and one drink. The choices are: Sandwiches (Turkey, Ham), Sides (Fries, Salad, Soup), and Drinks (Soda, Water). How many different meal combinations are possible?
- 7
- 9
- 12 (Correct answer)
- 24
Correct answer: 12
To find the total number of possible combinations, you multiply the number of choices for each category. There are 2 sandwich choices, 3 side choices, and 2 drink choices. The total number of combinations is 2 × 3 × 2 = 12.
Question 6: A standard six-sided die is rolled once. Which of the following best describes the likelihood of rolling a number greater than 1?
- Certain
- Unlikely
- Equally likely
- Likely (Correct answer)
Correct answer: Likely
There are 6 possible outcomes when rolling a die: {1, 2, 3, 4, 5, 6}. The outcomes that are greater than 1 are {2, 3, 4, 5, 6}, which is 5 out of the 6 total outcomes. A probability of 5/6 is considered 'likely' because it is greater than 1/2 but not certain (which would be 6/6).
FAST - Florida State Assessment Readiness Data Analysis and Probability Questions and Answers
A student's scores on five science quizzes are 88, 92, 84, 92, and 100.
What is the median score for this data set?