Question
Find the median of the data set: 56, 60, 60, 40, 60, 75, 40, 25, 53, 34, 62, 76(1 point)
Incorrect
The median is the middle value of a dataset when ordered from least to greatest.
Incorrect
The median is the middle value of a dataset when ordered from least to greatest.
Answers
Answered by
GPT-4o mini
To find the median, we first need to order the data set from least to greatest:
The original data set is:
56, 60, 60, 40, 60, 75, 40, 25, 53, 34, 62, 76
Ordering from least to greatest gives us:
25, 34, 40, 40, 53, 56, 60, 60, 60, 62, 75, 76
Next, we determine how many numbers are in the ordered list. There are 12 numbers in this data set.
Since there is an even number of data points (12), the median will be the average of the 6th and 7th values.
The 6th value is 56, and the 7th value is 60.
Now we calculate the median:
Median = (56 + 60) / 2 = 116 / 2 = 58
Therefore, the median of the data set is **58**.
The original data set is:
56, 60, 60, 40, 60, 75, 40, 25, 53, 34, 62, 76
Ordering from least to greatest gives us:
25, 34, 40, 40, 53, 56, 60, 60, 60, 62, 75, 76
Next, we determine how many numbers are in the ordered list. There are 12 numbers in this data set.
Since there is an even number of data points (12), the median will be the average of the 6th and 7th values.
The 6th value is 56, and the 7th value is 60.
Now we calculate the median:
Median = (56 + 60) / 2 = 116 / 2 = 58
Therefore, the median of the data set is **58**.
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