Math

posted by .

For a certain set of five numbers, the mean of all but the largest is 80, and the mean of all but the smallest number is 90. What is the range of the set of five numbers?

  • Math -

    if the numbers a,b,c,d,e are sorted in increasing order, then

    (a+b+c+d)/4 = 80
    (b+c+d+e)/4 = 90

    equating the expressions for (b+c+d)/4, we have

    80 - a/4 = 90 - e/4
    e/4 - a/4 = 10
    e-a = 40

    the range is thus 40

  • Math -

    320,360

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    find five numbers with a mean of 16, a median of 15 a mode of 21 and a range of 11. hi Anna i hope this helps median is the middle number . mean is all the numbers added up then divided by the amount of numbers. mode is the number …
  2. math

    Does anyone know how to explain mean, median, mode and range mean?
  3. math

    Please help me to find the first and third quartiles, Q1 and Q3, of the following set of numbers.13, 7, 15, 13, 13, 12, 9, 11, 19, 9 Qrrange the numbers in ascending order, like this: 7, 9, 9, 11, 12, 13, 13, 13, 15, 19 Now divide …
  4. math

    What is findind a five number summary of each ser of numbers 7,7,5,4,1,9,8,8,8,5,2 and range of the same numbers please I only see one set of numbers. Why do you refer to "each" set?
  5. math 115

    i am trying to find this answer there are 3 questions. 1. micheal kept the following records of her phone bills for 12 months: $47, $42, $56, $46, $63, $49, $47, $40, $58, $63, $51, $62 Find the mean and median of michael's monthly …
  6. math 157

    Data on the highest and lowest number of hits by three baseball teams within a specified period of time are described by the next set of box-and-whisker plots. a. Which team had the largest range?
  7. AP Statistics (math)

    Find a set of numbers that will satisfy the following conditions: - the median of a set of 20 numbers is 24. - the range is 42. - to the nearest whole number the mean is 24. - no more than three numbers are the same.
  8. programming

    Problem 6.9 Lottery Number Generator A lottery commission offers four different lottery games to play: Three-number, Four-number, Five-number and Five-number + 1 lotteries. Each game has independent numbers. Develop an application …
  9. math

    I am a set of 5 whole numbers that are less than 30. My median is 10. My range is 15. My mode is 10. The smallest number in my set is 10. My mean is 14. What are my numbers?
  10. math

    There are 5 numbers in a set of data. There are no repeated numbers. Which measure of data must represent a number in the set that is greater than 2 of the numbers in the set and less than 2 of the numbers?

More Similar Questions