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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 3 9
5 1 0 7 0 2 3 6 7 8
2 1 8 3
0 9
Key: 9|6 means 69 Key: 5|8 means 58
Calculate the mean absolute deviation (MAD) of each data set.
Which set is more variable? How do you know?
could you explain in words instead numbers
2 answers
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Certainly! The stem-and-leaf plot is a way to organize data. The numbers on the left side (the "stem") represent the tens digit, and the numbers on the right side (the "leaves") represent the ones digit. For example, in Soil A, there is one sunflower that is 50 centimeters tall (the 5 is the stem and the 0 is the leaf), two sunflowers that are 52 centimeters tall (the 5 is the stem and the 2's are the leaves), and so on.
Mean absolute deviation (MAD) measures how much the data deviates, or varies, from the mean or average. To find the MAD, you first find the mean of the data set. Then, you subtract the mean from each data point and take the absolute value (to eliminate negatives), and finally find the mean of those absolute differences.
In this problem, you need to calculate the MAD for both Soil A and Soil B. The data set that has a larger MAD is more variable, meaning it has more spread out data points.
Mean absolute deviation (MAD) measures how much the data deviates, or varies, from the mean or average. To find the MAD, you first find the mean of the data set. Then, you subtract the mean from each data point and take the absolute value (to eliminate negatives), and finally find the mean of those absolute differences.
In this problem, you need to calculate the MAD for both Soil A and Soil B. The data set that has a larger MAD is more variable, meaning it has more spread out data points.