DATA MANAGEMENT. MBF3C Lesson #3: Display Data. Learning Goals:. To identify different types of one-variable data (i.e., categorical, discrete, continuous) To graph the data by hand To graph the data with the TI-83. Introduction.
Lesson #3: Display Data
2. Copy and complete the table. Calculate the percent and angle measure for each expense. Create a circle graph to represent the data. Include a title for the graph and label the sectors
Investigate 1- METHOD 1, BY HAND
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a) Which sport is the most popular?
ANSWER: The tallest bar is for hockey. Hockey is the most popular sport.
b) Which sport is the least popular?
ANSWER: The shortest bar is for golf. Golf is the least popular sport.
c) Does your answer to part b) mean that students do not like this sport? Explain.
ANSWER:No. Colleen’s survey asked students about the sports they liked, not the sports they disliked.
d) How many students said that volleyball was their favourite sport?
ANSWER: Fifteen students said that volleyball was their favourite sport.
e) How many students participated in Colleen’s survey?
ANSWER: 20 + 35 + 15 + 42 + 8 + 26 = 146
a) How many patients have a mass of at least 85 kg but less than 90 kg?
Answer: The bar with left side 85 and right side 90 represents the number of patients who have a mass in the interval [85–90). The height of the bar is 13; therefore, 13 patients have a mass of at least 85 kg but less than 90 kg.
b) How many patients have a mass of at least 100 kg?
Answer: Two patients have a mass in the interval [100–105) and two patients have a mass in the interval [105–110). So, four patients have a mass of at least 100 kg.
c) How many patients are in the sample?
Answer:1 + 3 + 5 + 5 + 8 + 11 + 15 + 13 + 9 + 5 + 2 + 2 = 79
d) Find the percent of patients who have a mass of at least 100 kg.
Colleen surveyed the students at her school about their favourite sports.
6.Reflect People sometimes might not answer a survey question according to their own viewpoint if the nature of the question, or the way the question is asked, influences their opinion. This response bias produces inaccurate survey results. Study your own question and your partner’s question. Discuss the way each question is written and decide if the question may result in response bias.
a) Explain why this question may result in response bias.
b) Rewrite the question to eliminate possible response bias.
a) Martina Navratilova
b) Chris Evert
c) Billie Jean King
d) Serena Williams
ANSWER: By naming specific players, the survey influences the respondents’ answers. Respondents might not take the time to fill in the “Other” selection and might randomly select a player or simply choose a name they recognise. This measurement bias might cause an exaggeration or an underestimation of the results for the population.
The conclusion is not reasonable because only 30% of those surveyed answered the questionnaire. Customers who did respond might have done so because they were unhappy with the service. Those who were happy with the service might have simply ignored the questionnaire because the service did not need to be improved. This non-response bias leads to inaccurate results because only a small number of people in the sample respond.
Question 19: Any survey that asks people to return their completed questionnaires by mail is subject to:
Question 33: Classify the data coming from each of the following as primary or secondary research
Question 34: Classify the data coming from each of the following as Bias or Not Bias.
Question 7: The following were questions asked in a survey. Explain why the question is bias.
a) The government has been underfunding the arts for years. Should the government increase funding for the Ontario Art Gallery?
b) Please select your favourite type of television show: