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Math  /  Data & Statistics

QuestionFind the median of the data set: 56,60,60,40,6056,60,60,40,60, 75,40,25,53,34,62,7675,40,25,53,34,62,76 (1 point)

Studdy Solution

STEP 1

1. The set contains twelve data points: 56,60,60,40,60,75,40,25,53,34,62,76 56, 60, 60, 40, 60, 75, 40, 25, 53, 34, 62, 76 .
2. The median of a set with an even number of elements is the average of the two middle values.

STEP 2

1. Order the data points.
2. Determine the two middle values in the ordered list.
3. Calculate the average of these two middle values to find the median.

STEP 3

List the data points:
56,60,60,40,60,75,40,25,53,34,62,76 56, 60, 60, 40, 60, 75, 40, 25, 53, 34, 62, 76

STEP 4

Order the data points:
25,34,40,40,53,56,60,60,60,62,75,76 25, 34, 40, 40, 53, 56, 60, 60, 60, 62, 75, 76

STEP 5

Identify the two middle values in the ordered list. Since there are 12 values, the middle values are the 6th and 7th values:
56 and 60 56 \text{ and } 60

STEP 6

Calculate the average of the two middle values:
Median=56+602=1162=58\text{Median} = \frac{56 + 60}{2} = \frac{116}{2} = 58
The median is:
58 \boxed{58}

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