Express the difference in the means as a multiple of their ranges.

Answer:Hence, the difference in mean is represented as:                          12=2.5×5where 5 is the range and 12 is the difference in the mean.Step-by-step explanation:Shade plant Height (in.)7    11     11      12      9      12      8     10Minimum value=7and Maximum value=12Range=Maximum value-Minimum valueThis means that Range is: 12-7=5Also, the mean is calculated as follows:[tex]Mean=\dfrac{7+11+11+12+9+12+8+10}{8}\\\\\\Mean=\dfrac{80}{8}\\\\\\Mean=10[/tex]Sun Plant heights (in.)21    24    19    19     22    23    24    24Minimum value=19and Maximum value=24Range=Maximum value-Minimum valueThis means that Range is: 24-19=5Also, the mean is calculated as follows:[tex]Mean=\dfrac{21+24+19+19+22+23+24+24}{8}\\\\\\Mean=\dfrac{176}{8}\\\\\\Mean=22[/tex]Difference in mean is: 22-10=12Also, the range of both the set is:  5Hence, the difference in mean could be expressed as:        12=5×nHence, n=2.5