# math

In his NPR radio program "A Prairie Home Companion," Garrison Keillor describes the mythical town of Lake Wobegon as a place where "all the women are strong, all the men are good-looking, and all the children are above average." The average (mean) score on a recent test given to a class of 30 students at Lake Wobegon Elementary School was 75 (out of 100).
(a) explain why it is possible for every student in the class to have scored above average on the test.
(b) what is the largest number of students who could have scored above average on the test?

The thing that comes to mind immediately is how the average is rounded. What if all students made a score of 75.01? The average, rounded, is 75, but all students were above average.

The thing that comes to mind immediately is how the average is rounded. What if all students made a score of 75.01? The average, rounded, is 75, but all students were above average.

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### math help

At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randomly selected, find the probability that 3 are from town A and 2 are from

2. ### Physics

Town A lies 20 km north of town B. Town C lies 13 km west of town A. A small plane flies directly from town B to town C. What is the displacement of the plane. Please explain how you got the answer

3. ### math

Town P is on bearing 315 degree from town Q. While town R is south of town P and west of town Q. If town R is 60km away from Q, how fara is R from P?

4. ### precalculus

okay sorry but this is the last problem that I don't understand how to start... A population of prairie dogs grows exponentially. The colony begins with 32 prairie dogs; 3 years later there are 200 prairie dogs. Give a formula for

1. ### algebra

At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randomly selected, find the probability that 3 are from town A and 2 are from

2. ### Statistics

1. The mean monthly mortgage paid by all home owners in a town is \$2365 with a standard deviation of \$340. a) Using Chebyshev’s theorem, find at least what percentage of all home owners in this town pay a monthly mortgage of (i)

3. ### chemistry

Suppose a popular FM radio station broadcasts radio waves with a frequency of 93. MHz. Calculate the wavelength of these radio waves. Round your answer to 2 significant digits.

4. ### English

Read the paragraph from Sasha’s personal narrative. 1. In 6th grade, I sang in the school choir, and we often traveled to different places for our performances. 2. I didn’t mind traveling short distances, but I was nervous

1. ### math

3. The function 𝑝(𝑡) = −50 + (30(11t+13))/2+3t describes the population, in thousands, of a town t years since 1990. a) What is the initial population of the town in the year 1990? b) What is the population of the town in

2. ### mathematics

You and your friend enjoy riding your bicycles. Today is a beautiful sunny day, so the two of you are taking a long ride out in the country side. Leaving your home in Sunshine, you ride 6 miles due west to the town of Happyville,

3. ### Math

a sports reportor said that 2 out of every 3 people at a home town base ball game named baseball vs their favorite sport the reporter claimed that baseball was the mostpopular sport in town which of th following explains why the

4. ### MATH

Carter left Town A at noon, driving toward Town B at an average speed of 50 mph. At 12:30 P.M., Max headed from Town B to Town A along the same road. At 3 P.M., they met each other along the way, and Carter realized that he had