High School

Assume you have gathered six participants, ages 53, 62, 65, 57, 61, and 68, and calculated the age that divides the data set into two equal halves. What did you find?

Answer :

To find the median age of participants, ages were sorted in ascending order, and the middle two numbers were averaged to yield a median age of 61.5 years.

The question involves calculating the median age of a group of participants. The median is a measure of central tendency, which in this case represents the age that divides the dataset into two equal halves. To find the median, you need to arrange the ages in ascending order and then locate the middle number. Since we have an even number of participants (six), the median will be the average of the third and fourth numbers in the sorted list.

  1. Sort the ages in ascending order: 53, 57, 61, 62, 65, 68.
  2. Find the middle two ages (since there is an even number of data points): 61 and 62.
  3. Calculate the average (median) of these two ages: (61 + 62)/2 = 61.5 years.

Thus, the median age of the dataset is 61.5 years.