To find the Mean when given the Median and Mode, we can use the relationship between these three measures of central tendency. The formula is:

Mean = Mode + (Median – Mode) × 3/2

Given:

• Median = 25
• Mode = 24

Step-by-Step Calculation:

1. Calculate the Difference:
   Mode=25 24 1 Median Mode 25 24 1

2. Multiply the Difference by 3/2:
   (

Median−Mode)3 2 1 3 2 1.5 Median 2 3 1 2 3 1.5

3. Calculate the Mean:
   Mean= Median− Mode) 3 2 Mean Mode+ Median− Mode 2 3
   $Mean=24+1.5=25.5$24 1.5 25.5

Conclusion:

Thus, theMean is 25.5.

This relationship highlights the interconnectedness of statistical measures and can be useful in various analytical contexts, such as in economic data analysis sociological studies, where understanding distributions is crucial. For example, recent studies on income distribution may show how these measures can reflect economic disparities and inform policy decisions.