Question

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

Answer 1

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.

Answer 2

see the attached figure to better understand the problem

we have

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

$2\ ---------------$ $2$

$2\frac{2}{4}\ --------------$ $2$

$2\frac{3}{4}\ --------------$ $3$

$3\ ---------------$ $4$

$3\frac{1}{4}\ --------------$ $4$

$3\frac{2}{4}\ --------------$ $5$

$3\frac{3}{4}\ --------------$ $3$

$4\ ---------------$ $1$

we know that

The most common measurement is $3\frac{2}{4}$

$3\frac{2}{4}\ inches=\frac{(3*4+2)}{4} =\frac{14}{4}\ inches$

$\frac{14}{4} inches$ is equal to $14$ quarter inches

therefore

the answer is

Gerald is right