Problem Solving with Descriptive Statistics

This video tutorial explains how to solve descriptive statistics problems using mean, median, mode, and range. It provides two examples: one involving a set of three numbers with given median and range, and another calculating the mean age of two groups of soldiers. The video emphasizes logical thinking and understanding the characteristics of each statistical measure. It concludes with advice on practicing different types of questions to master the topic.

Which of the following best describes the median of a data set?

• The most frequently occurring value

• The difference between the highest and lowest values

• The sum of all values divided by the number of values

• The middle value when the data set is ordered

In the first example, if the median is 25 and the highest number is 28, what is the smallest number given the range is 12?

• 20

• 18

• 16

• 14

What is the mean age of the first group of soldiers if their total age sum is 150 and there are 5 soldiers?

• 25

• 28

• 30

• 32

If a second group of 3 soldiers with a mean age of 25 joins the first group, what is the total sum of ages for the second group?

• 70

• 75

• 65

• 60

How many soldiers are there in total after both groups are combined?

• 9

• 8

• 7

• 6

What is the combined mean age of all soldiers from both groups?

• 30.5

• 28.125

• 29

• 27.5

What is a key strategy for solving descriptive statistics problems as mentioned in the conclusion?

• Ignore the range

• Practice with a variety of questions

• Focus only on mean calculations

• Memorize all formulas