91Ó°ÊÓ

Given:

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

Where $\mathrm{L}$ indicates that the earthquake had an intensity below$4.0$ and an $\mathrm{H}$ indicates that the earthquake had an intensity above 9.0.

The median earthquake intensity of the sample is$(\mathrm{L},4.5,5.2,5.5,6,8.7,8.9,\mathrm{H},\mathrm{H})$

Here $L$indicates that the earthquake had intensity below$4.0$and h indicates that the earthquake had intensity above 9.0.

Therefore, (b) 6.00 is the correct option.

(a) The median earthquake intensity of the sample will not be$5.75$.

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

(d) The median earthquake intensity of the sample will not be$8.70$.

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