Question

Jonathan conducted a survey among random boys in his grade to learn their shoe sizes. He found that the mean shoe size of the sample was size 10 and the median was size 8. Which statement is true based on the results of Jonathan’s survey?



The average shoe size of the boys in his grade is 10.



The average shoe size of the boys in his grade is 8.



About half of the boys in his grade have a shoe size bigger than size 8.



About half of the boys in his grade have a shoe size smaller than size 10.
need to choose 2 answers

Answer 1

The average is 10

The average is NOT 8 as median is not necessarily equal to average and mean is more accurate.

About half do have a bigger size than 8 as the median is the middle value so half must have 8 or bigger providing the student has listed every single number even duplicates.

More than half the boys would have shoe size smaller than 10 as this number is well above the median number. Therefore this statement is also untrue.

1 and 4 are true!

Answer 2

Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surveyed, 13 said the test was easy, 11 rated it as moderate, and 3 found it difficult. Assuming that all students took the same test, how many of the 162 total students in Christian’s grade would probably rate the test something other than easy?




27



78



84



126

can you also help me with this one @SimonTheEngineer