QQuestionMathematics
QuestionMathematics
Find the mean, median, mode, and range of the following set of data:
53, 13, 34, 41, 26, 61, 34, 13, 69
Mean: type your answer...
Median: type your answer...
Mode (lowest number first): type your answer...
Range: type your answer...
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Answer
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Step 1:: First, let's calculate the mean (average) of the data set.
\text{Mean} = \frac{53 + 13 + 34 + 41 + 26 + 61 + 34 + 13 + 69}{9}
To do this, add up all the numbers and then divide by the count of numbers.
Step 2:: Calculate the sum of the numbers in the numerator:
\text{Sum} = 377
Step 3:: Continue calculating the mean by dividing the sum by the count of numbers:
\text{Mean} = \frac{377}{9}
Step 4:: The mean is:
\text{Mean} \approx 41.89
Step 5:: Now, arrange the data set in numerical order to find the median:
13, 13, 26, 34, 34, 41, 53, 61, 69
Step 6:: Since there are 9 numbers, the median is the average of the 5th and 6th numbers:
\text{Median} = \frac{34 + 41}{2}
Step 7:: The median is:
\text{Median} = 37.5
Step 8:: To find the mode, identify the number(s) that occur most frequently in the data set.
\text{Mode} = 13, 34
In this case, the numbers 13, 34, and 41 occur twice, while the other numbers occur only once. Therefore, there is no single mode. However, if we must provide an answer, we can list the modes in increasing order:
Step 9:: Finally, to find the range, subtract the smallest number from the largest number:
\text{Range} = 69 - 13
Step 10:: The range is:
\text{Range} = 56
Final Answer
Mean: 41.89 Median: 37.5 Mode (lowest number first): 13, 34 Range: 56
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