Question

The box plot shows the number of years during which 16 schools have participated in a marching band competition: A box plot is titled Years of Participation and labeled Years. Number line from 0 to 10 with primary markings and labels at 0, 5, and 10. The box extends from 3 to 7 on the number line. There is a vertical line at 5. The whiskers end at 1 and 10. At least how many schools have participated for 3 to 7 years? (4 points) 3 schools 5 schools 7 schools 8 schools

Answer 1

*see attachment showing the box plot

Answer:

8 schools

Step-by-step explanation:

In a typical box plot, data set are usually represented and denoted by quartiles in almost equal proportion. That is, 25% of the data set falls between the min and the Q1 value. From Q1 to median value, we have about 25%. From median to Q3, we have 25%, and from Q3 to the max, we have about 25%.

In the box plot given, we have:

Schools that have participated for at least 3 - 7 years fall within Q1 (3) and Q3 (7). Therefore, we have about 50% of the total number of schools that have spent 3 to 7 years.

No of schools that have spent at least 3 - 7 years = $\frac{50}{100}*16 = 8 schools$