Question

Gerald says that the most common measurement is 14 quarter inches. Is he right? Why or why not?

Answer 1

see the attached figure to better understand the problem

we have

`Length\ of\ roots\ in\ inches\--- \ No.\ of\ plants`

`2\ ---------------`
`2`

`2(2)/(4)\ --------------`
`2`

`2(3)/(4)\ --------------`
`3`

`3\ ---------------`
`4`

`3(1)/(4)\ --------------`
`4`

`3(2)/(4)\ --------------`
`5`

`3(3)/(4)\ --------------`
`3`

`4\ ---------------`
`1`

we know that

The most common measurement is
`3(2)/(4)`

`3(2)/(4)\ inches=((3*4+2))/(4) =(14)/(4)\ inches`

`(14)/(4) inches` is equal to
`14` quarter inches

therefore

the answer is

Gerald is right

Answer 2

Length of roots in cm No. of plants
2 cm 2
2 1/4 cm 0
2 2/4 cm 2
2 3/4 cm 3
3 cm 4
3 1/4 cm 4
3 2/4 cm 5
3 3/4 cm 3
4 cm 1

The most common measurement is 3 2/4 cm or 14 quarter centimeters.

((3*4)+2)/4 = (12+2)/4 = 14/4 or 14 *1/4 cm or 14 quarter cm.

Gerald is wrong because he said 14 quarter INCHES. It should be 14 quarter CENTIMETERS.