Statistics Review

Statistics Review

By Georgiana Dimola

Population & Sample

​

• A population is an entire group that you want to draw conclusions about. (Ex: Little Mill)

• A sample is the specific group that you will collect data from. (Ex: 10 students from every E&D class)

​

Multiple Choice

_______ is the entire group of objects or individuals considered for a survey.

• Sample

• Population

• Random Sample

• Quartile

Multiple Choice

_______ is a part of a group being surveyed.

• Sample

• Population

• Random Sample

• Quartile

Multiple Choice

Ms. Carson wants to know what the students at NMS's favorite ice-cream flavor is. She asks her students what their favorite flavor is. What is the population?

• Students at NMS

• Mrs. Carson's students

• All staff members at NMS

• All 7th grade students

Multiple Choice

Ms. Carson wants to know what the students at NMS's favorite ice-cream flavor is. She asks her students what their favorite flavor is. What is the sample?

• Students at NMS

• Mrs. Carson's students

• Staff members at NMS

• 7th grade students

Multiple Choice

A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population?

• A selection of logo artists.

• Every person in the United States.

• A selection of shoppers from different states.

• 3,800 children age 5 - 15

Multiple Choice

A musician wanted to see what people who listened to his last album thought about the songs. Which choice is the best sample?

• Every person who listened to the album.

• A selection of people who didn't want to listen to the album

• 250 girls who listened to the album

• A selection of 3,294 people who listened to the album.

Biased

& Unbiased Sample

​

• A biased sample is not representative of the larger population.

• An unbiased sample:

  -Representative of the larger population

  -Selected at random

  -Large enough to provide accurate data

​

Multiple Choice

To get valid results, a sample must be...

• biased

• unbiased

Multiple Choice

_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.

• Sample

• Population

• Random Sample

• Quartile

Multiple Choice

1.  Carlos wants to know the favorite sport of people at his school so he asks his baseball team. What type of sample would this be?

• Biased
• Unbiased

Multiple Choice

Biased or Random?

Chloe and Danna want to determine the favorite subject of all students in the middle school. So they place every middle school student's name in a bucket and choose 30 to poll.

• Biased sample

• Random sample

Multiple Choice

4. A company makes DVDs and randomly selects 25 from 1500 to test them to see if they work.

• Biased
• Unbiased

Multiple Choice

You want to know your town’s favorite fast-food restaurant. You randomly ask 30 people their preference as they leave a McDonald’s restaurant.

• biased

• unbiased

Multiple Choice

Which survey question is most likely to result in an unbiased sample?

• Which do you like better, delicious apples or boring oranges?

• Do you prefer apples, like I do, or oranges?

• Don't you prefer apples to oranges?

• Which do you prefer, apples or oranges?

Multiple Choice

Which sampling method will give the most unbiased results, if you wanted to find the number of people in your school that spent more than 4 hours completing their homework.

• Ask 30 students in Math and science class

• Ask 30 people that you meet at the mall

• Ask 30 random students from your school of different ages

• Ask 30 friends

Predicting Outcomes​

​

• The results of an unbiased sample​ are proportional to the results of a population. You can use unbiased sample results to make predictions about the population.

Multiple Choice

35 students were surveyed.

What percent of students have a dog?

• 34.3%

• .343%

• 2.92%

• .292%

Multiple Choice

35 students were surveyed.

What percent of students have a hamster or rabbit?

• 8.57%

• 5.71%

• 14.3%

• .143%

Multiple Choice

35 students were surveyed.

Out of the 300 students in the 7th grade, about how many students would have a goldfish?

• 2

• 51.43

• 17.14

• .02

Multiple Choice

if 7 out of 24 students surveyed said their least favorite chore was cleaning their room, how many would say that out of 528 students

• 528

• 154

• 3

• 90

Multiple Choice

If 4 out of 24 students surveyed said their least favorite chore was taking out the garbage, how many would say that out of 528 students

• 24

• 528

• 88

• 8

Measure of Central Tendency

​

A value that​ describes the center or middle of data set.

• Mean: The average of the values .

• Median: The middle value.

• Mode​(s): The most occurring value(s).

Multiple Choice

What is the mean of the following set of data?

2, 6, 10, 31, 14, 8

• 11.8

• 71

• 12

• 14.2

Multiple Choice

What is the median of the following data set?

25, 42, 36, 12, 19

• 36

• 25

• 39

• 26.5

Multiple Choice

What is the mode of the following data set?

2, 4, 6, 8, 7, 9

• 2, 4, 6, 7, 8, 9

• 4

• 6

• no mode

Multiple Choice

Roger has the following data:

12, 10, 3, 5, 6

Susan has the following data:

5, 9, 4, 5, 6

Who has the data with the highest median and what is it?

• Roger - 6

• Susan - 7

• Roger - 8

• Susan - 5.5

Multiple Choice

What is the range of the following data:

15, 20, 5, 10, 2, 3, 19, 7, 11

• 2

• 20

• 18

• 22

Box & Whisker Plots

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Five-Number Summary

• ​Minimum value: The smallest value

• Lower quartile: ​The median of the lower half

• ​Median: The middle value

• ​Upper quartile: The median of the upper half

• ​Maximum value: The largest value

​

Multiple Choice

What is the median?

• 62
• 58
• 66
• 60

Multiple Choice

What is the minimum value?

• 64
• 58
• 66
• 60

Multiple Choice

What is the maximum value?

• 58
• 66
• 64
• 60

Multiple Choice

What data value is the upper quartile (Q3)?

• 64
• 62
• 66
• 58

Multiple Choice

What is the interquartile range (IQR)?

• 4
• 64
• 60
• 8

Multiple Choice

What is the interquartile range of test scores for 1st Period?

• 70-95

• 75-90

• 15

• 10

Multiple Choice

Fifty percent of the test scores in 2nd Period were below what score?

• 82

• 75

• 85

• 93

Multiple Choice

What is the lower quartile(Q1) for 1st Period and 2nd Period?

• 60, 70

• 75, 80

• 80, 85

• 90, 92

Multiple Choice

6. Which city has a higher median?

• Millersburg
• Arcadia

Multiple Choice

Which plot has a larger interquartile range?

• Top plot
• Bottom plot

Multiple Choice

Which box and whisker plot has the highest median?

• Top plot
• Bottom plot

Multiple Choice

Which box and whisker plot shows more "spread out" data?

• Top plot
• Bottom plot

Multiple Choice

What percent of students have a height between 58 inches and 60 inches?

• 25%
• 50%
• 75%
• 100%

Multiple Choice

What percent of students have heights between 60 inches and 66 inches?

• 75%
• 50%
• 100%
• 25%