Data Analysis & Statistics Flashcards
7 cards from real AMC 8 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Data Analysis & Statistics flashcards as text
A student scored 80, 85, 90, and 75 on four tests. What score is needed on the fifth test to achieve an average of 85?
Answer: 95
The sum of 5 scores must be 85×5=425; current sum is 330, so the fifth score must be 425−330=95.
A stem-and-leaf plot shows: Stem 4: leaves 2,5,8; Stem 5: leaves 1,3,7; Stem 6: leaves 0,4. What is the median?
Answer: 55
The 8 values are 42,45,48,51,53,57,60,64; the median is the average of the 4th and 5th values: (53+57)/2=55.
A class of 10 boys has an average score of 75, and a class of 15 girls has an average score of 80. What is the combined class average?
Answer: 78
Combined average = (10×75 + 15×80)/(10+15) = (750+1200)/25 = 1950/25 = 78.
The data set {4, 7, 9, x, 12} has a mean of 8. What is the value of x?
Answer: 8
(4+7+9+x+12)/5 = 8 means 32+x = 40, so x = 8.
Scores of 60, 70, 80, and 90 in a frequency table have frequencies of 2, 5, 8, and 5. What is the mode?
Answer: 80
The mode is 80 because it has the highest frequency of 8 occurrences.
A store's daily sales: Mon=$200, Tue=$250, Wed=$180, Thu=$300, Fri=$270. On which day did sales increase the most from the previous day?
Answer: Thursday
Thursday's increase was $300−$180=$120, which is greater than Tuesday's $50 increase; Wednesday and Friday were decreases.
In the data set {3, 5, 7, 9, 11}, the largest value changes from 11 to 21. Which measure of central tendency changes?
Answer: Mean only
The median is still the middle value 7, but the mean increases because the sum is larger; mode is unchanged.