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Chapter 1: Q T1.4. (page 79)

Earthquake intensities are measured using a device called a seismograph, which is designed to be most sensitive to earthquakes with intensities between 4.0and 9.0on the Richter scale. Measurements of nine earthquakes gave the following readings:

where L indicates that the earthquake had an intensity below 4.0and an H indicates that the earthquake had an intensity above 9.0The median earthquake intensity of the sample is

(a) 5.75(c) 6.47 (e) Cannot be determined.

(b) 6.00 (d) 8.70

Short Answer

Expert verified

The correct option is (b) 6.00

Step by step solution

01

Given information  

4.5L5.5H8.78.96.0H5.2

The letter Ldenotes a magnitude of less than 4.0whereas the letter Hdenotes a magnitude of greater than 9.0

02

Concept

The total of all observations divided by the number of observations is the observation means. The median of a distribution organized in ascending order is the midway.

03

Explanation

The sample's median earthquake intensity was (L,4.5,5.2,5.5,6,8.7,8.9,H,H) Here, L denotes an earthquake with a magnitude less than 4.0 and h denotes an earthquake with a magnitude greater than 9.0 Therefore, (b) 6.00 is the correct option.

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