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Consider the data:
2019 Assets of Local Government Units (LGUs) in Metro Manila (in billion)
Caloocan: 20.334B
Las Piñas: 9.177B
Makati: 232.925B
Malabon: 3.460B
Mandaluyong: 7.161B
Manila: 63.463B
Marikina: 8.798B
Muntinlupa: 11.009B
Navotas: 4.214B
Parañaque: 13.491B
Pasay: 19.580B
Pasig: 45.340B
Pateros: 0.442B
Quezon: 95.335B
San Juan: 5.374
Taguig: 28.920B
Valenzuela: 10.007B


Instruction:
1. Arrange the assets in ascending order
2. Solve for P75.
3. Is Pasig
(a)on the 75th percentile,
(b)below the 75th percentile or
(c)above the 75th percentile.
4. Interpret the results in your own words.
​

Sagot :

Mangyannnidn

Answer:

1. Arrange the assets in ascending order

0.442, 3.460, 4.214, 5.374, 7.161, 8.798, 9.177, 10.007, 11.009, 13.491, 19.580, 20.334, 28.920, 45.340, 63.463, 95.335, 232.925

2. Solve for P75.

P75 = ((3(n+1))/4)^(th) value of the observation

P75 =((3*18)/4)^(th) value of the observation

P75 =(13.5)^(th) value of the observation

P75 =13^(th) observation + 0.5 [14^(th) - 13^(th)]

P75 =28.92 + 0.5 [45.34 - 28.92]

P75 =28.92 + 0.5 (16.42)

P75 =28.92 + 8.21

P75 = 37.13

3. Pasig has 45.305B assets. Therefore, Pasig  is above the 75th percentile.

Answer: C (above the 75th percentile.)

4. Interpret the results in your own words.

Pasig is on the 80th percentile, therefore, 20% of the 2019 assets of LGUs in Metro Manila are higher than Pasig.

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