Choose the correct pair: Group A - Quartiles, Group B - Dj = size of j th Observation - Economics

Question:

Choose the correct pair:

Group A	Group B
1) Quartiles	a) Dj = size of j${\displaystyle {\left(\frac{n+1}{10}\right)}^{\text{th Observation}}}$
2) Deciles	b) ${\displaystyle {\text{P}}_k=l+\left(\frac{\frac{kn}{100}–cf}{f}\right)\times \text{h}}$
3) Percentiles	c) ${\displaystyle {\text{Q}}_i=l+\left(\frac{\frac{\text{in}}{4}–cf}{f}\right)\times \text{h}}$

Options 1-b, 2-c, 3-a 

 1-c, 2-a, 3-b 

 1- c, 2-b, 3-a 

 1-a, 2-b, 3-c 

Solution:

1-c, 2-a, 3-b

Group A	Group B
1) Quartiles	c) ${\displaystyle {\text{Q}}_i=l+\left(\frac{\frac{\text{in}}{4}–cf}{f}\right)\times \text{h}}$
2) Deciles	a) Dj = size of j${\displaystyle {\left(\frac{n+1}{10}\right)}^{\text{th Observation}}}$
3) Percentiles	b) ${\displaystyle {\text{P}}_k=l+\left(\frac{\frac{kn}{100}–cf}{f}\right)\times \text{h}}$