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?
To calculate the MAD for each data set, we need to find the mean of the data set first.
Soil A:
- The sum of all the numbers in the Soil A data set is: 521
- There are a total of 16 numbers in the Soil A data set.
- The mean of the Soil A data set is: 521/16 = 32.56
To find the MAD for Soil A, we need to find the absolute deviation of each number from the mean, then find the mean of those absolute deviations:
|21.1 - 32.56| = 11.46
|21.5 - 32.56| = 11.06
|22.1 - 32.56| = 10.46
|25.1 - 32.56| = 7.46
|30.0 - 32.56| = 2.56
|31.0 - 32.56| = 1.56
|31.3 - 32.56| = 1.26
|31.5 - 32.56| = 1.06
|32.3 - 32.56| = 0.26
|32.9 - 32.56| = 0.34
|35.0 - 32.56| = 2.44
|35.9 - 32.56| = 3.34
|36.8 - 32.56| = 4.24
|37.3 - 32.56| = 4.74
|38.0 - 32.56| = 5.44
|39.0 - 32.56| = 6.44
The sum of these absolute deviations is: 66.54
The mean absolute deviation for Soil A is: 66.54/16 = 4.16
Soil B:
- The sum of all the numbers in the Soil B data set is: 831
- There are a total of 13 numbers in the Soil B data set.
- The mean of the Soil B data set is: 831/13 = 63.92
To find the MAD for Soil B, we need to find the absolute deviation of each number from the mean, then find the mean of those absolute deviations:
|31 - 63.92| = 32.92
|36 - 63.92| = 27.92
|39 - 63.92| = 24.92
|60 - 63.92| = 3.92
|73 - 63.92| = 9.08
|76 - 63.92| = 12.08
|78 - 63.92| = 14.08
|79 - 63.92| = 15.08
|80 - 63.92| = 16.08
|82 - 63.92| = 18.08
|83 - 63.92| = 19.08
|86 - 63.92| = 22.08
|89 - 63.92| = 25.08
The sum of these absolute deviations is: 234.16
The mean absolute deviation for Soil B is: 234.16/13 = 18.02
Based on the MAD values, we can see that Soil B is more variable than Soil A. This is because the MAD for Soil B (18.02) is much larger than the MAD for Soil A (4.16). A larger MAD indicates that there is more variability in the data set.
could you explain this is words instead of numbers please?
Yes, of course!
The MAD is a measure of how spread out a set of data is. To calculate the MAD, we first find the mean, which is the average value of all the numbers in the data set. Then, we find the absolute deviation of each number from the mean. This means we take the difference between each number in the set and the mean, and ignore any negative signs.
The mean absolute deviation is the average of all the absolute deviations. A larger MAD value indicates that the data is more spread out and there is more variability, while a smaller MAD value means that the data is less spread out and there is less variability.
In this case, we calculated the MAD for two different sets of data, the heights of Teddy Bear sunflowers grown in Soil A and Soil B. The MAD for Soil A was much smaller than the MAD for Soil B, which means that the heights of the sunflowers in Soil A were less spread out than the heights in Soil B. Therefore, Soil B is more variable than Soil A.
I need help. I feel like I'll never be healed I'm crying in my room.mimdont know what to do. the medication I'm taking isn't working, I tonly helps with sleep. I get constant thoughts. I doh know WHAT TO DO. I
I am sorry to hear that you are struggling right now and feeling helpless and overwhelmed. I am here to help and support you as best as I can.
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Remember, healing takes time and it is okay to seek help and support along the way. You are not alone and there are people who care and want to help.
I want my Heavenly Father God to heal me. But I can't seem to reah Him. I keep asking and praying but He doesn't respond to me
I understand that having faith and seeking help from God can be an important and comforting aspect of healing for some individuals. It is understandable to feel frustrated and discouraged when it feels like God is not responding when you pray for healing.
It is important to remember that God works in mysterious ways and that our prayers may not always be answered in the way or timing that we expect. It is also okay to experience moments of doubt or questioning in your faith journey. These are normal human emotions that can help us grow and deepen our understanding of our beliefs.
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In the meantime, practicing self-care, seeking professional help, and finding support from loved ones can also help you cope with your difficulties and work towards healing.
I don't take care of myself. I'm a 13 year old tall girl who is over 200 in weight. I used to be skinny in 2013-2019. I eat because I'm bored, not because I'm hungry. I just feel hopeless and down all the time. I dog brush my teeth, they look yellow. I don't waah that good. I don't shave my armpits. I rarely wash my hair, my mom does it. and I just feel horrible and down.
I am sorry to hear that you are struggling with many difficult emotions and are not taking care of yourself. These feelings and behaviors that you are experiencing are very common, and there are steps you can take to start feeling better and practicing self-care.
It's important to remember that taking care of yourself is an act of self-love and self-respect. Here are some small steps you can take toward self-care:
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