Aim: Intro to Statistics Course: Alg. 2 & Trig. Do Now: What is statistics and why do we care? Aim: What is statistics and why do we care?

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Presentation transcript:

Aim: Intro to Statistics Course: Alg. 2 & Trig. Do Now: What is statistics and why do we care? Aim: What is statistics and why do we care?

Aim: Intro to Statistics Course: Alg. 2 & Trig. Statistics is the science of collecting, organizing, analyzing, and presenting numerical data. Situations where a statistical study would be useful A utility company wants to find how much money is spent by a typical American family to heats its home. The US Government wants to know how many people reside in the United States The State Regents want to know how well students are performing the new math standards.

Aim: Intro to Statistics Course: Alg. 2 & Trig. Statistics: Experimental vs. Observational Experimental: a variable(s) of interest is identified. Then other variables are identified and controlled so data can be obtained about how they influence the variable of interest. Example: Pharmaceutical company might be interested in how a new drug affected blood pressure. It controls dosage, age, etc. Observational: no attempt to control any variables. Example: Survey to determine consumer opinions – written responses; or strictly observational – counting the number of times an event occurs.

Aim: Intro to Statistics Course: Alg. 2 & Trig. Sample Sampling The Stay-Brite Light Bulb Company makes millions of light bulbs. How can the Stay- Brite Light Bulb Company determine the average life of its light bulbs? A study based on surveying a portion or sample of a population - results reflect that of entire population. Must be fair and reflect entire population Must contain a reasonable number of items being tested or counted Selection must be random

Aim: Intro to Statistics Course: Alg. 2 & Trig. Sampling To determine which television programs are the most popular in a large city, a poll is conducted by selecting people at random at a street corner and interviewing them. Outside of which location would the interviewer be most likely to find a fair sample? 1) a ball park 2) a concert hall 3) a supermarketExplain The student government wishes to interview a sample of students to determine the general interests of the student body. Two questions are to be asked, “Do you want more pep rallies?” and “Do you want more dances?” What location in the school would result in a fair sample? Explain

Aim: Intro to Statistics Course: Alg. 2 & Trig. Model Problem Suppose you were one of the students in charge of planning the senior trip. The choices are a baseball fantasy camp, Colonial Williamsburg, or Disney World. For each of these choices, explain how you would design a study that would be BIASED so that it would lead people to believe that most seniors want to go to that particular trip.

Aim: Intro to Statistics Course: Alg. 2 & Trig. Model Problem A group of 8 students decided that they wanted to lose weight. Four of them decided to walk a mile each school day before school. The other four of them decided to walk a mile each day after school. All weigh themselves each Wednesday and report their weight to their math teacher, who is keeping it confidential. One student says this is an experiment. A 2 nd disagrees and says its an observational study. A 3 rd thinks it’s a survey. Explain which it is.

Aim: Intro to Statistics Course: Alg. 2 & Trig. Data Collection & Organization How many members in your immediate family (living in same household)? Organizing Data:

Aim: Intro to Statistics Course: Alg. 2 & Trig. Organizing Data Grouped (Intervals) Data A teacher marked a set of 32 papers. The grades were as follows: 90, 85, 74, 86, 65, 62, 100, 95, 77, 82, 50, 83, 77, 93, 72, 98, 66, 45, 56, 100, 50, 89, 78, 70, 75, 95, 80, 78, 83, 81, 72, 75.

Aim: Intro to Statistics Course: Alg. 2 & Trig. Organizing Data Intervals - The rules for grouping data The intervals must cover the complete range of values. The range is the difference between the highest and lowest values. The intervals must be of equal size. The number of intervals should be between 5 and 15. There must not be overlapping intervals and every count/tally must fall into one and only one interval.

Aim: Intro to Statistics Course: Alg. 2 & Trig. Organizing Data In order to determine how many people use a school cafeteria daily, a count is made for a month. The following numbers were obtained: 1st wk: 221, 242, 280, 252, 261; 2d wk: 229, 233, 277, 246, 269; 3rd wk: 236, 251, 281, 241, 254; 4th wk: 227, 246, 272, 246, 249. Construct an interval frequency table for data. What is the range?

Aim: Intro to Statistics Course: Alg. 2 & Trig. Regents Question Which task is not a component of an observational study? (1) The researcher decides who will make up the sample. (2) The researcher analyzes the data received from the sample. (3) The researcher gathers data from the sample, using surveys or taking measurements. (4) The researcher divides the sample into two groups, with one group acting as a control group.

Aim: Intro to Statistics Course: Alg. 2 & Trig. Regents Question Howard collected fish eggs from a pond behind his house so he could determine whether sunlight had an effect on how many of the eggs hatched. After he collected the eggs, he divided them into two tanks. He put both tanks outside near the pond, and he covered one of the tanks with a box to block out all sunlight. State whether Howard’s investigation was an example of a controlled experiment, an observation, or a survey. Justify your response.