Hospitals use daily bed counts, which are the number of occupied beds, to plan staffing needs for the month. The data below gives the daily bed count figures for a random sample in the year 2018.

155 92 157 166 155 154 161 160 163 159 143 146 143 137 127 125 125 130 131 132 137 145 147 148 111 143 151 139 150 165

Calculator Check: Px = 4297

a. Identify the variable of interest along with the measurement scale. Variable of Interest: Measurement Scale:

b. Produce a histogram for the data. Start the first class at 90 and use a class width of 12. Be sure to include all the proper labeling. Do this on the Google Sheets file.

c. Classify the shape of this distribution. Be specific.

d. Compute the value for the 95th percentile. Do this on the Google Sheets file and write down the value here as well.

e. Report the mean. Label the value using the appropriate symbol and round to four decimal places. You can choose whether you want to do this "by hand" or on Google Sheets. If you do it by hand, show all your work. One way or another, write the answer here as well, with the appropriate symbol.

f. Report the median. Label the value using the appropriate symbol. You can choose whether you want to do this "by hand" or on Google Sheets. If you do it by hand, show all your work. One way or another, write the answer here as well, with the appropriate symbol.

g. Report the 1st and 3rd quartile values. Label each value using the appropriate symbols. You can choose whether you want to do this "by hand" or on Google Sheets. If you do it by hand, show all your work. One way or another write the answer here as well, with the appropriate symbol. 1st quartile: 3rd quartile:

h. Produce a box-and-whisker plot for the data. Be sure to include the values for the 5-number summary labeled in the plot.

i. Report the standard deviation and variance for the data. Label each value using the appropriate symbols and round each to four decimal places. Do this on the Google Sheets file and write down the values here as well, with the appropriate symbol. Standard deviation: Variance:

j. What are the best measures of center and variability for the data? Justify why you choose the measures you do. You will receive no credit without justifying your answer. Center: Variability: