1. A police officer recorded the speed of 30 cars on a road with a 30 miles per hour (mph) speed limit. The recorded data are shown below: 25.6 25.7 25.7 25.8 25.8 26.2 26.9 27.5 27.7 27.8 27.9 27.9 28.3 28.4 28.5 28.8 28.9 28.9 29.0 29.1 29.2 29.3 29.5 29.7 29.8 30.1 30.1 30.2 33.2 34.9 (a) Construct a stem-and-leaf diagram for these data. (b) Draw a suitable histogram for these data. (c) Comment on the shape of the sample distribution. (d) Determine the median of the data using the stem-and-leaf diagram in (a). (e) Produce a boxplot for these data. (f) Using the following summary statistics, calculate the sample mean and sample standard deviation of the recorded speeds: Sum of data = ) : - 856.4 and Sum of squares of data = ) ; = 24,574.06. (g) Comment on the relative values of the mean and median. (h) What percentage of the data fall within one sample standard deviation of the sample mean? And what percentage fall within two sample standard deviations of the sample mean