Question

find each measure of central tendency. type exact values. do not round. mean: type your answer... median: type your answer... mode: type your answer... based of the shape of the distribution, which measure of central tendency would be best to describe the typical number of winter olympic gold medal wins by a top 20 medal - winning country in 2010. choose your answer... 2010 winter olympics gold medal wins by top 20 medal - winning countries number of gold medals won

Explanation:

Step1: Count data - points

Count the number of 'x's. There are 20 data - points.

Step2: Find the mode

The mode is the value that appears most frequently. The value 1 appears 4 times, which is the most frequent. So the mode is 1.

Step3: Find the median

Since there are 20 data - points (an even number), the median is the average of the 10th and 11th ordered data - points. Ordering the data, the 10th and 11th values are both 2. So the median is $\frac{2 + 2}{2}=2$.

Step4: Calculate the mean

Sum up all the values. We have: $0\times2+1\times4 + 2\times3+3\times1+4\times2+5\times2+6\times2+9\times2+10\times1+14\times1$
$=0 + 4+6 + 3+8+10+12+18+10+14$
$=85$. The mean is $\frac{85}{20}=4.25$.

Answer:

Mode: 1
Median: 2
Mean: 4.25