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QuestionThe average age of 4 boys is 12 years. If another boy of 14 years joins them, what's the average age of the whole group?Community AnswerWith four boys averaging 12 years old, the combined ages of the four boys would be 4 x 12 = 48. Add the age of the new boy to that total to get 48 + 14 = 62. Now divide this number by your total number of people (5) to find the average age: 62 / 5 = 12.4.
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QuestionThe average age of 30 students of a class is 15 years. Average age remains unaltered even if 3 new students are admitted. The total age of 3 new students is what?DonaganTop AnswererIf the new students don't change the average age of the class, that means their average age is 15, too, which means their total age is 3 x 15 = 45 years.
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QuestionHow do I compute the mode of these ages: 25, 26, 28, 30, 54, 54, 52?DonaganTop AnswererLook at the given numbers, and decide which number appears most often in the list. That number is the mode.
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QuestionThe average age of 39 students in a class is 13. When the teacher is also included in the group, the average is increased by 1. What is the age of the teacher?DonaganTop AnswererThe teacher's age is 53. If the 39 students' average age is 13, that means they have a total of 507 years between them (39 x 13 = 507). Let t = the teacher's age. Then (507 + t) is the total years of the students and the teacher. The average age of these 40 people would be (507 + t) / 40, which we're told is equal to 13 + 1, or 14. So (507 + t) / 40 = 14. Multiply both sides of the equation by 40: ( 507 + t) = 560. So t = 53.
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QuestionThe average of 6 numbers is 4. If the average of two of those numbers is 2, what is the average of the other four numbers?DonaganTop AnswererThe sum of the six numbers is 24 (6 x 4). The sum of the two numbers is 4. Subtracting the second sum from the first sum gives you a third sum, the sum of the other four numbers. The third sum is 20. Dividing 20 by 4 gives you 5, the average of the other four numbers.
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QuestionDo I round age in research studies? Is 19.68 rounded to 20?DonaganTop AnswererIt's not mandatory, but it's a common tactic to round ages. Yes, if you're rounding to the nearest whole number, 19.68 would be rounded to 20.
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QuestionThe mean age of the combined group of men and women is thirty years. If the mean age of group of men is thirty two and that of the group of women is twenty five, what is the ratio of men to women?DonaganTop AnswererThere's a mathematical way of solving this, but there's also an easier way of looking at it: the group's average age is two years different from the men's average age, but it's five years different from the women's average age. That means that the men have 2½ times more influence on the group average than the women do. So the ratio of men to women is 2½ : 1, or 5 : 2.
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QuestionHow do I calculate the mean of percentage data?DonaganTop AnswererTreat percentages as you would any other data. Add the percentages, and divide by the number of percentages.
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QuestionThe total weight of 6 rugby players is 540 kg, and the mean weight of 14 ballet dancers is 40 kg. How do I find the mean weight of the group of 20 rugby players and ballet dancers?DonaganTop AnswererTotal rugby weight: 540. Total ballet weight: 14 x 40 = 560. Total weight: 540 + 560 = 1,100. Total people: 20. Mean weight = 1,100 / 20 = 55 kg.
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QuestionAt Lopez College, the number of professors that are male is 100 persons, and 200 persons are female. If the average age of males is 35 and the average age of the females is 27, what is the average?DonaganTop Answerer[(100)(35) + (200)(27)] ÷ (100 + 200) = [(3500) + (5400)] ÷ (300) = 8900 / 300 = 29.67 years.
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QuestionA fifth grade elementary school class consists of two schoolteachers, 4 boys and 6 girls. The average age of teachers is 34, boys is 10 and girls is 11. What is the average age of the class?DonaganTop Answerer[(2)(34) + (4)(10) + (6)(11)] ÷ (2 + 4 + 6) = (68 + 40 + 66) ÷ 12 = 174 ÷ 12 = 14½ years.
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QuestionHow do I find the mean age of something?DonaganTop AnswererMean age and average age are the same thing. Use the technique shown above.
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QuestionIf I have teachers aged 29 and 25, the mean of their ages is 41.5. Is this correct?I_l1ke_gam3sCommunity AnswerNo. 29 + 25 = 54. 54/2 is equal to 27. The average of their ages is 27.
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