The stem-and-leaf plot
shows the heights in centimeters of Teddy Bear sunflowers grown in two different types of soil.
Soil A| |Soil B
| 5 |9
5 2 1 1| 6 |39
510| 7 |023678
21| 8 |3
0| 9 |
Key: 9|6 means 69, Key: 5|8 means 58
a) Describe the overlap of the two sets of data.
b) Calculate the mean of each data set.
c) Calculate the mean absolute deviation (MAD) of each data set.
d) Which set is more variable? How do you know?
Okay, I am from Connexus and yes I'm looking on here for answers so you can call it cheating but I'm at the end of my school year and I'm way behind so I said screw it and I just want to get it done, and to whoever harasses people for "cheating" go get a life and stop judging people for what they're doing, we honestly don't care about your opinion
Overlap: 22
Mean:|A: 71.8 |B: 72
MAD:|A: 8.16 |B: 5.4
Soil A is more variable, because the MAD is higher
I did it now stop
First you need to be able to interpret the stems and leaf plot (since there are two stems).
The two bars enclose the 10's digit, and the numbers to the left of the first bar represent the units digit for soil A, and the numbers to the right of the second bar stands for the units digit of soil B.
Therefore:
Soil A has data recorded as:
61,61,62,65,70,71,75,81,82,90
Soil B has data recorded as:
59,63,69,70,72,73,76,77,78,83
a. The overlap is the range of data that is common to both soils, namely between 61 (from soil A) and 83 (from soil B).
b. The mean is the average, calculated by adding up all data and dividing the sum by the number of values.
Soil A:
(61+61+62+65+70+71+75+81+82+90)/10=71.8
c. the mean absolute deviation (MAD) is also called the mean deviation. This is obtained by adding the difference between each value and the mean, but without regard to the sign. The sum is then divided again by the number of values.
MAD for soil A
= ((71.8-61)+(71.8-61)+(71.8-62)+...
+(71.8-71)+(75-71.8)+(81-71.8)+(82-71.8)+(90-71.8))/10
=8.16
d. compare the size of MAD for each soil.
MAD measures the variability of a dataset.
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ya'll call it cheating we call it teamwork.
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