For each the following cases, use the appropriate grouping method to : a. determine a frequency distribution. b. obtain a relative-frequency distribution. c. construct a frequency histogram. d. construct a relative-frequency histogram. • Number of Siblings. Professor Weiss asked his introductory statistics students to state how many siblings they have. The responses are shown in the following table.

A factory owner has taken a sample (n = 20) of workers to see how many broken widgets each employee produces per day. For the following data, construct a frequency distribution table. Include columns for observed value (Xcat), frequency, proportion, and percent.        2  1  0  2  1  0  7  3  8  0      1  5  0  0  9  2  0  1  3  0

Find the mean of the data summarized in the given frequency distribution table below.  Score students  50-59 5 60-69 8 70-79 5 80-89 5 90-99 17

see pictures for questions A and B and graphic. Mr. Barnes gave his students a biology test last week.Here are the test scores for each of the sixteen students. Test scores 83 76 89 82 78 74 82 80 79 75 73 90 85 88 74 81

Use the frequency histogram to complete the following parts. (a) Determine the number of classes. (b) Estimate the greatest and least frequencies. (c) Determine the class width. (d) Describe any patterns with the data. (a) There are (Type a whole number.) classes. (b) The least frequency is about (Round to the nearest whole number as needed.) The greatest frequency is about. (Round to the nearest whole number as needed.) (c) The class width is $0. (Type an integer or a decimal. Do not round.) (d) What pattern does the histogram show? A. About half of the employees' salaries are between $40,000 and $49,000. B. About half of the employees' salaries are between $50,000 and $59,000. C. Most employees make less than $34,000 or more than $60,000. D. Less than half of the employees make between $35,000 and $59,000. Frequency 300- 200- 100- 0- Employee Salaries 32 37 42 47 52 57 62 Salary (in thousands of dollars) O

Consider the following data set: 38 24 32 18 25 Find the 36th percentile for this data. 36th percentile =

A group of students were surveyed about the number of siblings they have. Their responses are summarized in the frequency table below. How many students responded to the survey? Number of Siblings Frequency 0 6 1 8 2 5 3 3 4 1 5 or more 3