Question

1 and 2

1) For the data listed below as the questions (a) to (d). DATA: 20 25 40 41 42 43 44 45 46 47 48 49 50 50 51 52 53 54 55 56 57 58 59 60 65 80 90 Questions Points a)Make a frequency diagram with 7 classes b) Make a histogram c) Give the five number summary d) Make a box-and-whisker diagram (show outliers.) 2) At a gathering of 190 college students their grade-group and major were recorded as follows: Major Blology Nursing ath Accounting Total Grade-Group A-student B-student C-student Total 20 30 20 70 10 30 10 50 10 10 10 30 10 20 10 40 50 90 50 190 f a student is selected at random from this group, find the probability that the student is Question A Biology major A Biology major or an A-student. A Nursing major and a B-student. A Nursing major or a Biology major A math major and a Biology major An Accounting major given that they are an A-student A B-student given that they are a Math major. Answer Points

Answer 1

1. a) Frequency distribution:

b) Histogram:

c) Five point summary:

Minimum: 20

Q1: (n+1)/4 th value = 7th value = 44

Median : (n+1)/2 th value = (27+1)/2 = 14th value = 50

Q3: 3(n+1)/4 th value = 21 st value = 57

Maximum:90

d) Box and whiskers plot:

2. Probability of a biology major = 70/190 = 0.3684

Probability of a biology major or an A-student = (70+50-20)/190 = 100/190 = 0.5263

Probability of a nursing major and a B-student = 30/190 = 0.1579

Probability of a nursing major or a biology major = (50+70)/190 = 120/190 = 0.6316

Probability of a math major and a biology major = 0/190 = 0

Probability of a accounting major given that they are an A-student = P(Account major and A-student)/P(A-student)

= (10/190) / (50/190) = 10/50 = 0.20

Probability of a B-student given that they are a math major = P(B-student and math major) / P(Math major)

= (10/190) / (30/190) = 10/30 = 0.333

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