Respuesta :

This is an unusual question.  Not clear what you're looking for here. 

I'd suggest that "14 quarter inches" be simplified as follows:

14 quarter inches        1 inch
------------------------- * ----------------------- = 14/4 inches = 3/2 inches = 3.5 inches
              1                  4 quarter inches

Gerald is wrong in his statement that 14 quarter inches is the most common measurement because the actual most common measurement is 14 quarter cm.

What is the most common measurement in a data set?

The most common measurement is that measurement which occurred most of the times. There can be sometimes more than one such values.

The table of the data is missing. It is given as:
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

1 inch = 2.54 cm approx.

Quarter inch = 1/4 inch ≈ 2.54/4 cm = 0.625 cm

14 quarter inches  = 14 times quarter inch [tex]\approx 14 \times 0.625 = 8.75 \: \rm cm[/tex]

The data has maximum of 4 cm, that is it.

Instead, if we see that table, we see that the maximum times occurring length is 3 2/4 cm

It can be rewritten as;
[tex]3\dfrac{2}{4} = \dfrac{12 + 2}{4}= \dfrac{14}{4} = 14 \times \dfrac{1}{4} \: \rm cm[/tex] = 14 quarter cm.

Thus, Gerald mistakenly said 'inches' instead of cm

Learn more about centimetre to inch conversion:

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