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Elanso [62]
3 years ago
15

Solve the problem.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Answer:

Q1 value is 3.0625 inches

Step-by-step explanation:

Q1 is the 25th percentile, that is

P(z<z*)=0.25 where z* is the z-score of the 25th percentile.

Corresponding z* is -0.675.

z* can also be calculated using the equation

z=\frac{X-M}{s} where

  • X is the 25th percentile(Q1) value
  • M is the mean rainfall in January in the city (3.4 inches)
  • s is the standard deviation (0.5 inches)

Solving the equation for X, we have X=-0.675×0.5+3.4 =3.0625 inches

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