Question
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Measures of Center Quick Check
1 of 41 of 4 Items
Question
Your friend finds the mean and median of the data set: 40, 38, 62, 70, 56, 41, 58, 48, 60, 45. Your friend says that the mean and median are both 52. Is your friend correct? If not, find the correct answer.(1 point)
Responses
My friend is correct.
My friend is correct.
My friend is not correct. The mean is 51.8. The median is 48.5.
My friend is not correct. The mean is 51.8. The median is 48.5.
My friend is not correct. The mean is 52. The median is 51.8.
My friend is not correct. The mean is 52. The median is 51.8.
My friend is not correct. The mean is 51.8. The median is 52.
My friend is not correct. The mean is 51.8. The median is 52.
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Measures of Center Quick Check
1 of 41 of 4 Items
Question
Your friend finds the mean and median of the data set: 40, 38, 62, 70, 56, 41, 58, 48, 60, 45. Your friend says that the mean and median are both 52. Is your friend correct? If not, find the correct answer.(1 point)
Responses
My friend is correct.
My friend is correct.
My friend is not correct. The mean is 51.8. The median is 48.5.
My friend is not correct. The mean is 51.8. The median is 48.5.
My friend is not correct. The mean is 52. The median is 51.8.
My friend is not correct. The mean is 52. The median is 51.8.
My friend is not correct. The mean is 51.8. The median is 52.
My friend is not correct. The mean is 51.8. The median is 52.
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Answers
GPT-4o mini
To determine if your friend is correct, we need to calculate the mean and median of the data set: 40, 38, 62, 70, 56, 41, 58, 48, 60, 45.
**Step 1: Calculate the Mean**
The mean is calculated by summing all the numbers and then dividing by the count of the numbers.
Sum = 40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45
= 478
Count of numbers = 10
Mean = Sum / Count = 478 / 10 = 47.8
**Step 2: Calculate the Median**
To find the median, we first need to arrange the data in ascending order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
Since there are 10 numbers (an even amount), the median will be the average of the two middle numbers (the 5th and 6th values):
5th number = 48
6th number = 56
Median = (48 + 56) / 2 = 104 / 2 = 52
**Conclusion:**
Your friend stated that both the mean and median are 52, which is incorrect. The correct mean is 47.8 and the median is 52.
Therefore, the correct response is:
"My friend is not correct. The mean is 47.8. The median is 52."
**Step 1: Calculate the Mean**
The mean is calculated by summing all the numbers and then dividing by the count of the numbers.
Sum = 40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45
= 478
Count of numbers = 10
Mean = Sum / Count = 478 / 10 = 47.8
**Step 2: Calculate the Median**
To find the median, we first need to arrange the data in ascending order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
Since there are 10 numbers (an even amount), the median will be the average of the two middle numbers (the 5th and 6th values):
5th number = 48
6th number = 56
Median = (48 + 56) / 2 = 104 / 2 = 52
**Conclusion:**
Your friend stated that both the mean and median are 52, which is incorrect. The correct mean is 47.8 and the median is 52.
Therefore, the correct response is:
"My friend is not correct. The mean is 47.8. The median is 52."