Читать книгу Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP - Bhisham C. Gupta, Irwin Guttman - Страница 102

1 The following data give the amount of a beverage in 12 oz cans:11.3811.0311.8711.9812.3611.8012.3212.0611.3811.0712.1212.1112.2412.3711.7512.2513.6011.9313.1111.7612.3412.0811.8511.3712.3211.7412.7512.7612.1611.7210.9712.0912.5311.8812.1111.2812.0111.8012.4712.32Find the mean, variance, and standard deviation of these data.Find the three quartiles and the IQR for these data.Prepare a box plot for these data and determine if there are any outliers present in these data.

2 The following data gives the reaction time (in minutes) of a chemical experiment conducted by 36 chemistry majors:555846584946416059415942404442584658584051594846424356484154565748434943Find the mean, mode, and median for these data.Prepare a box plot for these data and check whether this data set contains any outliers.

3 The following data give the physics lab scores of 24 randomly selected of physics majors:211821182018185919202020191821581922191822182256Construct a box plot for these data and examine whether this data set contains any outliers.

4 The following data provide the number of six sigma black belt Engineers in 36 randomly selected manufacturing companies in the United States:736480677378667859797475736663626158657660796263717556787375636671746443Find the 60th percentile of these data.Find the 75th percentile of the data.Determine the number of data points that fall between the 60th and 75th percentiles you found in parts (a) and (b).Prepare the box plot for these data and comment on the shape of the data:

5 Consider the following two sets of data:Set I292425262324292924282327262120252430282829282226302126272523Set II464860435747425758595253415843504956575451466044554360505154504344535158Find the mean and standard deviation for the two data sets.Find the coefficient of variation for these data sets.Determine whether one of these data sets has higher variation than the other.

6 Reconsider the data in Problem 4 of Section 2.6, and do the following:Find the mean, variance, and standard deviation of these data.Find the three quartiles and the IQR for these data.Prepare a box plot for these data and determine if there are any outliers present in these data.

7 Reconsider the data in Problem 5 of Section 2.6 and do the following:Find the mean, variance, and standard deviation of these data.Find the three quartiles and the IQR for these data.Prepare a box plot for these data and determine if there are any outliers present in these data.