5 Math 107 – Modern Elementary Statistics Test#1(Version A) Instruction: Answer all questions! Show your work properly! Due Date: Sunday August 1, 2021 Name of...

Remedial Test 1 (Math 107)__Data_Description 3.doc


5 Math 107 – Modern Elementary Statistics Test#1(Version A) Instruction: Answer all questions! Show your work properly! Due Date: Sunday August 1, 2021 Name of Student:____________________________________________________ 1. (15 Points) The table below shows the percentage distribution of the total income of males 14 years old or over in the United States in 1956. Income ($) # of Males (Millions) 0-100 17 100-199 11 200-299 12 300-399 36 400-499 50 500-599 30 600-699 22 700-799 10 800-899 6 a. Compute the midpoint for each class; b. Compute the relative frequency for each class; c. Compute the cumulative frequency for each class; d. Compute the mean, the median and the mode for this data; e. Explain your results; f. What percentage of the males earned $500 and over? g. What percentage of the males earned at least $200 but not more than $600? a. – c. Answers: Income ($) Midpoint X F CF RF F ▪ X d. Answers: e. Answer: f. Answer: g. Answer: 2. (8 Points) The age at inauguration for each U.S. President is shown. 57 54 52 55 51 56 61 68 56 55 54 61 57 51 46 54 51 52 57 49 54 42 60 69 58 64 49 51 62 64 57 48 50 56 43 46 61 65 47 55 55 54 a. Construct a stem-and leaf plot of this data; b. Describe the shape of the distribution. a. Answers: Stem Leaf b. Answer: 3. (10 Points) The mean value of land and buildings per acre from a sample of farms is $2,400, with a standard deviation of $450. Assume that the data set is has a bell-shaped or normal distribution. a. Estimate the percentage of farms whose land and building values per acre are between $1,500 and $3,300. b. If 30 additional farms were sampled, about how many of these farms would you expect to have land and building values between $1,500 and $3,300? a) Answers b) Answers: 4. (10 Points) Briefly explain the meanings of the following concepts in the spaces provided below. Give at least one example for each concept. a) Sample b) Population c) Discrete variable d) Nominal data a) Answer(s): b) Answer(s): c) Answer(s): d) Answer(s): GOOD LUCK!