Question

Question 85(v)
Below a list of 10 tallest buildings in India,
This list ranks buildings in India that stand at least 150 m (492 ft.) Tall based and standard height measurement. This includes spires and architectural details but does not include antenna marks. The following data is given as per the available information till 2009. Since new buildings are always under construction, go online to check new taller buildings. Use the information given in the table about skyscrapers to answer the following questions:


Find the median of the data.

Answer 1

Arranging the data in ascending order, we get, 156, 170, 170, 170, 180, 181, 184, 193, 249, 249, Since there are ten observations, median will be the mean of 5th and 6th observations.
n = 10 (even)
$\frac{\frac{n}{2}th\text{observation}+(\frac{n}{2}+1)th\text{observation}}{2}\frac{\left(\frac{10}{2}\right)th\text{observation}+\left(\frac{n}{2}\right)+1th\text{observation}}{2}=\frac{5th\text{observation}+6th\text{observation}}{2}=\frac{180+181}{2}=180.5$