In box plot the 50% data distribution is outside the IQRGroup of answer choicesTrueFalse

Understanding Box Plots

A box plot (or whisker plot) visually summarizes the distribution of a dataset. It shows five key statistics: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Analysis of the Statement

1. Interquartile Range (IQR):

   • The IQR is defined as the range between the first quartile (Q1) and the third quartile (Q3), which contains the middle 50% of the data.
   • Mathematically, it is expressed as: $\text{IQR} = Q3 - Q1$

2. Median:

   • The median (Q2) is the value that separates the higher half from the lower half of the data set.

3. Data Outside the IQR:

   • Since the IQR represents the range where the central 50% of the data resides, it means that 25% of the data lies below Q1 and 25% lies above Q3.

Conclusion

The statement "In box plot the 50% data distribution is outside the IQR" is False because the IQR specifically represents the central 50% of the data, not the distribution outside it.

Final Answer

False