QQuestionMathematics
QuestionMathematics
Find the mean, median and mode of the weights of the shown.
105, 53, 76, 91, 120, 61, 55, 98, 61
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Answer
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Step 1:: Find the mean (average) of the weights.
\frac{720}{9} = 80
The mean is calculated by adding up all the numbers and dividing by the count of numbers. First, let's add up all the weights: Now, let's divide by the count of numbers, which is 9: So, the mean weight is 80 pounds.
Step 2:: Find the median of the weights.
Median = \frac{76 + 91}{2} = \frac{167}{2} = 83.5
First, arrange the weights in numerical order: 53, 55, 61, 61, 76, 91, 98, 105, 120 Since there are 9 numbers, the median is the average of the 5th and 6th numbers: So, the median weight is 83.5 pounds.
Step 3:: Find the mode of the weights.
The mode is the number that appears most frequently. In this case, the numbers 61 and 55 each appear twice, while no other number appears more than once. Therefore, there is no single mode for these weights.
Final Answer
- Mean weight: 80 pounds - Median weight: 83.5 pounds - Mode weight: None (there are two most common weights: 61 and 55)
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