Standard deviation (50 points) dr. cwetna recorded all of the grades on a unit test on the chart below. what is the mean and standard deviation of the distribution of individual grades? (18 points) 1. = . = identify the following and label the dot-plot above (4 points each) 3. = and 4. = and 5. = and find the percentage of test scores within each range listed above. 6. (4 points) does the data indicate a normal distribution? 7. (6 points) why or why not? 8. (10 points) we want to know the probability that a student selected randomly from her class would have an “a” (90 or above) in her class. find the probability. explain how to find the probability

(c) compare the results of parts (a) and (b). in general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. there is no distinct pattern when each data value is multiplied by the same constant. (d) suppose you have information about average heights of a random sample of airline passengers. the mode is 65 inches, the median is 72 inches, and the mean is 65 inches. to convert the data into centimeters, multiply each data value by 2.54. what are the values of the mode, median, and mean in centimeters? (enter your answers to two decimal places.) mode cm median cm mean cm in this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. consider the following data set 7, 7, 8, 11, 15. (a) compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = (b) multiply 3 to each of the data values. compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = --