The following show data from the Death Penalty Information C…

The following show data from the Death Penalty Information Center on the number of executions in Texas by year. Use the raw data to answer the questions below.   24, 17, 13, 15, 16, 10   Calculate and interpret the following statistics by hand (show work to receive credit). Answers alone (without showing work) will receive no points.   a) Median calculation b) Median interpretation c) Q1 calculation d) Q1 interpretation e) Q3 calculation f) Q3 interpretation g) IQR calculation h) IQR interpretation i)  Range calculation j) Range interpretation k) Mean calculation l) Mean interpretation m) Standard deviation calculation n) Standard deviation interpretation o) Is there anything wrong with using mode as a measure of central tendency in this case?

 Your job as the research director in the Alabama Department…

 Your job as the research director in the Alabama Department of Youth Services is to advise the Director which policies to follow. In the past, you have heard that some institutions have had as many as 80 disturbances in a year.  The average number of disturbances (riots, stabbings, fights, etc.) per year per institution, though, is 37, with a standard deviation of 6.  The distribution is normal.  Answer the following questions.   a) What is the z-score for an institution that had 40 disturbances in one year?  What does this z-score indicate?   b) You want to give raises to the wardens in the prisons that have disturbances in the bottom 10% of the distribution, and fire the wardens in prisons in the top 10%.  What number of disturbances will be the cut-off for each of these decisions?   c) What is the probability that an institution would have 40 or fewer disturbances?   d) What is the probability that an institution would have 36 or more disturbances?  

Two footballs A and B are kicked from a field line at an ang…

Two footballs A and B are kicked from a field line at an angle of 45° from the horizontal. Ball A has initial speed v, and ball B has initial speed v/2. The launch angles are the same. If ball A travels a distance d before reaching its maximum height, then the distance travelled by ball B before reaching its maximum height is: