Which histogram depicts a higher standard deviation? 1 Frequency Frequency (b) Choose the correct answer below. B. Histogram b depicts the higher standard deviation, because the distribution has more dispersion A. Histogram a depicts the higher standard deviation, because the bars are higher than the average bar in b. C. Histogram b depicts the higher standard deviation, since it is more bell shaped. D. Histogram a depicts the higher standard deviation, because the distribution has more dispersion, A histogram of a set of data indicates that the distribution of the data is skewed right. Which measure of central tendency will likely be larger, the mean or the median? Why? Choose the correct answer below. . The mean will likely be larger because the extreme values in the left tail tend to pull the mean in the opposite direction of the tail. . The mean will likely be larger because the extreme values in the right tail tend to pull the mean in the direction of the tail. . The median will likely be larger because the extreme values in the right tail tend to pull the median in the direction of the tail. . The median will likely be larger because the extreme values in the left tail tend to pull the median in the opposite direction of the tail. A company decides to investigate the amount of sick leave taken by its employees. A sample of seven employees yields the following numbers of days of sick leave taken in the past year. 0 1 4 0 0 6 3 C! Use this information to answer pans a through c. a. Find and interpret the range. The range is days. Choose the correct interpretation of the range below. i E A. The number of days separating the fewest and most sick days taken is equal to the range. C} B. The range represents the average distance of an observation from the mean. C} C. The range gives the most useful value for measuring the spread of the data. ' E D. The largest difference between the mean and any other value is equal to the range. b. Find and interpret the standard deviation s. s = (Round to two decimal places as needed.) Choose the correct interpretation of the standard deviation below. [E A. The standard deviation represents nding the deviation for each observation, squaring each deviation, and then adding them up. C} B. The standard deviation represents a typical distance of an observation from the mean. [i C. The standard deviation represents the sum of the deviations from the mean. [i D. Since the standard deviation uses the square of the units of measurement for the original data, it is not easy to interpret. c. Suppose the 6 was incorrectly recorded and is supposed to be 60. Redo (a)-(b) with the correct data and describe the effect of this outlier. The new range is days. s = (Round to two decimal places as needed.) What is the effect of the outlier'? The median for the given set of six ordered data values is 27.5. 5 12 21 _4'l 48 What is the missing value? The missing value is The following data represent the dividend yields (in percent) of a random sample of 28 publicly traded stocks. Complete parts (a) to (c). (a) Compute the ve-number summary. The ve-number summary is , , , , . (Round to two decimal places as needed. Use ascending order.) (b) Draw a boxplot of the data. (1:) Determine the shape of the distribution from the boxplot. {:3 A. The distribution is roughly symmetric. . The distribution is skewed to the right. Cir C. The distribution is skewed to the left. C) D. The shape of the distribution cannot be determined from the boxplot