9. For the data -2,-1,-2, 4, 1, 0; let A denote the sample mean and M denote the sample median. Then
Choose one answer
a. A=0,M=0
b. A=0,M=-0.5
c. A=0.5,M=0.5
d. A=0.5,M=-0.5
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A=0,M=-0.5,
Mean (Average) A=-2,-1,-2, 4, 1, 0 = 0,
Median M = -2-2-1+0+1+4 = mid numbers are (-1+0) /2 = -0.5
To find the sample mean (A), you need to add up all the numbers in the data set and then divide the sum by the total number of data points.
Sum of data = -2 + -1 + -2 + 4 + 1 + 0 = 0
Total number of data points = 6
Sample mean (A) = Sum of data / Total number of data points = 0 / 6 = 0
So, A = 0
To find the sample median (M), you need to arrange the data set in ascending order and then find the middle value. If there is an even number of data points, you take the average of the two middle values.
Arranging the data in ascending order: -2, -2, -1, 0, 1, 4
Since there is an even number of data points (6), the middle values are -1 and 0. To find the average, add them together and divide by 2:
(-1 + 0) / 2 = -1/2
So, M = -0.5
Therefore, the correct answer is b. A = 0, M = -0.5