Methods of Collecting Data in Statistics

This is a branch of mathematics that deals with the theory and methods of collecting, organizing, presenting, analyzing, and interpreting data.

• Statistics

• Probability

• Fantastic

• Statics

It is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

• Statistics

• Research

• Mathematics

• Measures of Central Tendency

A sample of students will be selected from all the students at a high school. Which of the following sampling methods is least likely to produce a representative sample of the students?

• From a list of all student names, randomly select 50 names from the list for the sample.

• Randomly choose five classrooms in the school and use all the students in those classrooms for the sample.

• Divide the students into the four class years (freshman, sophomore, junior, senior) and randomly select students from each year in proportion to the number of students in each year.

• From a numbered list of all student names, randomly choose a starting point and then choose every tenth student on the list.

• From a randomly chosen home basketball game, choose every tenth student who enters the gymnasium.

A random number generator is used to select 12 students from a large statistics class to rate a statistics video. The 12 students selected are

• the population.

• a simple random sample of the class.

•  a convenience sample.

• a voluntary response sample

Match each example with the sampling method to survey 100 employees of a company that has 1000 employees.

• Simple Random Sampling

• You want to select a simple random sample of 1000 employees of a social media marketing company. You assign a number to every employee in the company database from 1 to 1000, and use a random number generator to select 100 numbers.

• Cluster Sampling

• The company has offices in 10 cities across the country (all with roughly the same number of employees in similar roles). Travel to every office to collect your data is unreasonable, so use random sampling to select 3 offices.

• Systematic Sampling

• All employees of the company are listed in alphabetical order. From the first 10 numbers, you randomly select a starting point: number 6. From number 6 onwards, every 10th person on the list is selected (6, 16, 26, 36, and so on), and you end up with a sample of 100 people.

• Stratified Sampling

• The company has 800 female employees and 200 male employees. You want to ensure that the sample reflects the gender balance of the company, so you sort the population into two strata based on gender. Then you use random sampling on each group, selecting 80 women and 20 men, which gives you a sample representative of 100 people.

Match the following

• Stratified

• Readers choose to respond to a poll

• Voluntary Response

• Select every 5th student

• SRS

• Survey all employees at 5 randomly selected stores

• Systematic

• Number the players 1 - 1000 and use a random number generator to select 50

• Cluster

• Randomly select 6 stores from each of the states

Disneyland often surveys its guests as they exit a restaurant during their visit. The surveyor stands at the restaurant exit, counts the number of people leaving, and surveys every 25th guest.
This is a form of:

• Simple Random Sample

• Stratified Random Sample

• Voluntary Response

• Systematic Random Sampling

An independent research company wants to go door to door to survey people in the city of Fontana. The company decides to number all blocks within the city limit, randomly choose 1 block and survey all households on that block.

This is an example of:

• Simple Random Sample

• Stratified Random Sample

• Cluster Random Sample

• Systematic Random Sampling

A teacher wants to know how well her students are doing on a topic. She randomly picks one class to survey.

• Simple Random

• Cluster

• Stratified

• Systematic

Identify the sampling technique used: Corn is planted on a 200-acre field. The field is divided into 10-acre subplots. A sample of plants is taken from each subplot to estimate the harvest.

• Simple Random

• Stratified

• Cluster

• Systematic