Questions: For the distribution shown below, identify the mean, median, and mode. A. A= median, B= mode, C= mean B. A= mode, B= median, C= mean C. A= mean, B= mode, C= median D. A= mode, B= mean, C= median
Transcript text: For the distribution shown below, identify the mean, median, and mode.
A. $\mathrm{A}=$ median, $\mathrm{B}=$ mode, $\mathrm{C}=$ mean
B. $A=$ mode,$B=$ median,$C=$ mean
C. $\mathrm{A}=$ mean, $\mathrm{B}=$ mode, $\mathrm{C}=$ median
D. $\mathrm{A}=$ mode, $\mathrm{B}=$ mean, $\mathrm{C}=$ median
Solution
Solution Steps
Step 1: Identify the Mode
The mode is the value that appears most frequently in a distribution. In a graph like this, it corresponds to the highest point on the curve. The highest point is located above B.
Step 2: Identify the Median
The median is the middle value in a distribution. In a graph like this, it corresponds to the point that divides the area under the curve into two equal halves. Since the distribution is skewed to the left (meaning it has a longer tail on the left), the median will be to the right of the mode. The median is located above A.
Step 3: Identify the Mean
The mean is the average value of the distribution. In a skewed distribution, the mean is pulled in the direction of the skew (the longer tail). Since this distribution is skewed to the left, the mean will be to the left of the median. The mean is located above C.