Q
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.

Final Answer

- Mean weight: 80 pounds - Median weight: 83.5 pounds - Mode weight: None (there are two most common weights: 61 and 55)