The number of hospital beds in a sample of 20 hospitals is shown below. Construct a frequency distribution and a frequency histogram for the data set using 5 classes. Describe the shape of the histogram as symmetric, uniform, negatively skewed, positively skewed, or none of these. 162 164 130 129 180 165 165 225 145 137 193 209 153 249 263 246 299 139 209 184 Construct a frequency distribution for the data set using 5 classes. (Type whole numbers.) Class Frequency 129-163 164-198 199-233 234-268 269-303 Construct a frequency histogram for the data set using the frequency distribution. Choose the correct answer below. O A. O B. O C. O D. Hospital Beds Hospital Beds Hospital Beds Hospital Beds 8- 84 Frequency Frequency Frequency Frequency of 111 181 251 321 111 181 251 321 111 181 251 321 111 181 251 321 Number of beds Number of beds Number of beds Number of bedsDescribe the shape of the histogram as symmetric, uniform, negatively skewed, positively skewed, or none of these. Choose the correct answer below. O A. The histogram is uniform because the classes all have approximately the same height. O B. The histogram is symmetric, but not uniform, because the two halves are approximately mirror images. O C. The histogram is negatively skewed because the left tail is longer than the right tail. O D. The histogram is positively skewed because the right tail is longer than the left tail. O E. The histogram has none of these shapes.Compare the (i) (ii) (ifi) three data sets on the right. 0009060 00000 09090 0900 0900 0900 00 0 - Q- 11 121314151617 11 121314151617 11 121314151617 (a) Which data set has the greatest sample standard deviation? O A. Data set (ii), because it has more entries that are farther away from the mean. O B. Data set (iii), because it has more entries that are close to the mean. O C. Data set (i), because it has two entries that are far away from the mean. Which data set has the least sample standard deviation? O A. Data set (i), because it has less entries that are farther away from the mean. O B. Data set (iii), because it has more entries that are close to the mean. O C. Data set (ii), because it has more entries that are farther away from the mean. (b) How are the data sets the same? How do they differ? O A. The three data sets have the same mean, median and mode but have different standard deviations. O B. The three data sets have the same mean and mode but have different medians and standard deviations. O C. The three data sets have the same mode but have different standard deviations and means. O D. The three data sets have the same standard deviations but have different means