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

where L indicates that the earthquake had an intensity below 4.0 and an H indicates that the earthquake had an intensity above 9.0. The 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

b. The sample of median earthquake intensity is 6.00

Step by step solution

01

Given information

Given:

Earthquake intensities are measured using 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 below4.0 and an H indicates that the earthquake had an intensity above 9.0.

02

Explanation for correct option 

The median earthquake intensity of the sample is(L,4.5,5.2,5.5,6,8.7,8.9,H,H)

Here Lindicates that the earthquake had intensity below4.0and h indicates that the earthquake had intensity above 9.0.

Therefore, (b) 6.00 is the correct option.

03

Step 3. Explanation for incorrect option

(a) The median earthquake intensity of the sample will not be5.75.

(c) The median earthquake intensity of the sample will not be 6.47.

(d) The median earthquake intensity of the sample will not be8.70.

(e) The median earthquake intensity of the sample is Cannot be determined.

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