We appreciate your visit to Maria ran an experiment to determine the optimal conditions for growing artichokes The data below displays the weights of the artichokes she grew measured in. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's find the mean, median, and mode weights of the artichokes Maria grew.
### Mean
To find the mean (average) weight, we add all the weights together and then divide by the number of weights.
List of artichoke weights:
[tex]\[ 78.8, 97.4, 54.2, 75.6, 65.7, 97.4, 83.9, 65.4, 97.4, 72.7 \][/tex]
1. Add all the weights:
[tex]\[ 78.8 + 97.4 + 54.2 + 75.6 + 65.7 + 97.4 + 83.9 + 65.4 + 97.4 + 72.7 = 788.5 \][/tex]
2. Divide by the number of weights (10 in this case):
[tex]\[ \frac{788.5}{10} = 78.85 \][/tex]
So, the mean weight of the artichokes is 78.85 grams.
### Median
To find the median, we need to arrange the weights in order and find the middle value.
1. Arrange the weights in ascending order:
[tex]\[ 54.2, 65.4, 65.7, 72.7, 75.6, 78.8, 83.9, 97.4, 97.4, 97.4 \][/tex]
2. Since there are 10 weights (an even number), the median is the average of the 5th and 6th values:
[tex]\[ \text{5th value: } 75.6, \quad \text{6th value: } 78.8 \][/tex]
3. Calculate the average of these two values:
[tex]\[ \frac{75.6 + 78.8}{2} = 77.2 \][/tex]
So, the median weight of the artichokes is 77.2 grams.
### Mode
The mode is the weight that appears most frequently.
1. Count the frequency of each weight:
[tex]\[ 78.8, 97.4, 54.2, 75.6, 65.7, 97.4, 83.9, 65.4, 97.4, 72.7 \][/tex]
2. Identify the number that appears most frequently. Here, 97.4 appears 3 times.
Thus, the mode weight of the artichokes is 97.4 grams.
To summarize:
- Mean: 78.85 grams
- Median: 77.2 grams
- Mode: 97.4 grams
### Mean
To find the mean (average) weight, we add all the weights together and then divide by the number of weights.
List of artichoke weights:
[tex]\[ 78.8, 97.4, 54.2, 75.6, 65.7, 97.4, 83.9, 65.4, 97.4, 72.7 \][/tex]
1. Add all the weights:
[tex]\[ 78.8 + 97.4 + 54.2 + 75.6 + 65.7 + 97.4 + 83.9 + 65.4 + 97.4 + 72.7 = 788.5 \][/tex]
2. Divide by the number of weights (10 in this case):
[tex]\[ \frac{788.5}{10} = 78.85 \][/tex]
So, the mean weight of the artichokes is 78.85 grams.
### Median
To find the median, we need to arrange the weights in order and find the middle value.
1. Arrange the weights in ascending order:
[tex]\[ 54.2, 65.4, 65.7, 72.7, 75.6, 78.8, 83.9, 97.4, 97.4, 97.4 \][/tex]
2. Since there are 10 weights (an even number), the median is the average of the 5th and 6th values:
[tex]\[ \text{5th value: } 75.6, \quad \text{6th value: } 78.8 \][/tex]
3. Calculate the average of these two values:
[tex]\[ \frac{75.6 + 78.8}{2} = 77.2 \][/tex]
So, the median weight of the artichokes is 77.2 grams.
### Mode
The mode is the weight that appears most frequently.
1. Count the frequency of each weight:
[tex]\[ 78.8, 97.4, 54.2, 75.6, 65.7, 97.4, 83.9, 65.4, 97.4, 72.7 \][/tex]
2. Identify the number that appears most frequently. Here, 97.4 appears 3 times.
Thus, the mode weight of the artichokes is 97.4 grams.
To summarize:
- Mean: 78.85 grams
- Median: 77.2 grams
- Mode: 97.4 grams
Thanks for taking the time to read Maria ran an experiment to determine the optimal conditions for growing artichokes The data below displays the weights of the artichokes she grew measured in. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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