Measures+of+Dispersion+&+Central+Tendency

Eight second graders and eight fifth graders at Cherry Hills Elementary School were asked how many first cousins they have.
 * **Number of First Cousins** ||
 * **Second Grade** || 2 || 4 || 1 || 0 || 1 || 9 || 3 || 12 ||
 * **Fifth Grade** || 6 || 3 || 10 || 13 || 8 || 4 || 6 || 6 ||

Solution:
First, find the mean of the number of first cousins that the second grade students have. Now, find the mean of the number of first cousins that the fifth grade students have. Next, find the difference between the two means. Therefore, **the mean number of first cousins that the fifth grade students have is 3 more than the mean number of first cousins that the second grade students have.**

Solution:
Order both sets of numbers from least to greatest.

There is an even number of values in each data set, so the median will be the mean of the fourth and fifth values. Now, find the difference between the two medians . Therefore, **the median number of first cousins that the fifth grade students have is 3.5 more than the median number of first cousins that the second grade students have.**

Solution:
The mode of a data set is defined as the number in a set that occurs the most often. In the second grade set, the number 1 appears twice. No other number occurs more than that in this data set, so the mode of the first cousins of the second grade students is 1. In the fifth grade set, the number 6 appears three times. No other number occurs more than that in this data set, so the mode of the first cousins of the fifth grade students is 6. Now, find the difference between the two modes. Therefore, **the mode of first cousins that the fifth grade students have is 5 more than the mode of first cousins that the second grade students have.**

Solution:
The range of a data set is the difference between the largest and smallest values in a statistical distribution. First, determine the range of the second grade data set. The largest value is 12 and the smallest value is 0. So, the range is 12. Next, determine the range of the fifth grade data set. The largest value is 13 and the smallest value is 3. So, the range is 10. Now, find the difference between the two ranges. Therefore, **the range of first cousins that the second grade students have is 2 more than the range of first cousins that the fifth grade students have.**