Math Quiz -Statistics and Probability Report a question What's wrong with this question? You cannot submit an empty report. Please add some details. Math Quiz -Statistics and Probability Covering: mean, median, mode, range, standard deviation, data interpretation through graphs and charts, and basic probability, including compound events and independent events. 1 / 5 1. Eight friends each scored a different number of points in a game. Their scores were 15, 18, 20, 22, 25, 28, 30, and 34. What is the mean score? a) 22 b) 24 c) 26 d) 28 To find the mean, we add the scores and divide by the number of friends. (15+18+20+22+25+28+30+34)/8 = 192/8 = 24. 2 / 5 2. In a class of 12 students, the average test score is 75. If one student has an unusually high score of 100, what is the average of the other 11 students' test scores? a) 70 b) 71 c) 72.7 d) 73 To find the average of the other 11 students' test scores, we need to find the sum of the 11 students' test scores. The sum of all 12 students' test scores is (mean) x n = 75 x 12 = 900. The sum of the 11 students' test scores is 900 - 100 = 800. The average is 800 / 11, which is approximately 72.7. 3 / 5 3. The annual incomes of five people are $45,000, $60,000, $65,000, $50,000, and $70,000. What is the range of their incomes? a) $25,000 b) $20,000 c) $15,000 d) $10,000 The range is the difference between the greatest and the least value in the data set. The greatest value is $70,000, and the least value is $45,000. The range is $70,000 - $45,000 = $25,000. 4 / 5 4. The weight of apples in a grocery store is normally distributed, with a mean weight of 150 grams and a standard deviation of 10 grams. What is the approximate weight of an apple that is one standard deviation above the mean? a) 140 b) 150 c) 160 d) 170 An apple that is one standard deviation above the mean will have the weight equal to the mean weight plus one standard deviation. The approximate weight will be 150 + 10 = 160 grams. 5 / 5 5. What is the probability of getting at least one head when flipping two fair coins? a) 3/4 b) 1/2 c) 1/4 d) 2/3 There are 2⁴ possible outcomes: HH, HT, TH, and TT. Only the TT outcome doesn't meet the criteria of having at least one head. The probability of at least one head is, therefore, 3/4. Your score is 0% Restart Quiz