Into to Statistics
Determine if the following is a statistical question, as well as if it is numerical or categorical data.
What is the typical number of siblings 7th grade students at Shields Middle School live with?
Statistical; numerical
Find the Mode.
18, 16, 9, 19, 15, 31, 14, 16
16
Use the Line Plot #1 to answer.
What is the Median fuel economy?
23
List the names of the five numbers used to make a box plot.
Minimum, 1 quartile, median (2nd quartile), 3rd quartile, maximum
They quoted him the following prices: $65, $100, $78, $72, $70, $125, $100.
What is the range and IQR?
Range: 60
IQR: 30
Classify each data set as either categorical or numerical.
1. the heights of students in your class
2. the favorite food of students in your class
3. the shoe sizes of twelve people
4. the time it takes for students to get to school
1. numerical
2. categorical
3. numerical
4. numerical
Find the median.
18, 16, 9, 19, 15, 31, 14, 16
16
Use the Line Plot #1 to answer.
What is the range of the data?
15 mpg
Wendy’s pig had a litter of piglets. The five-number summary of the piglets’ weights, in pounds, is given below.
2.1 ~ 2.4 ~ 2.6 ~ 2.9 ~ 3.0
____ % of the piglets weighed 2.4 pounds or more.
75%
Which measure of center or spread best represents the following data set?
38, 45, 40, 42, 37, 8, 37, 41
The median and IQR; because the outlier will affect the mean and range.
Which of the following is the best example of a statistical question?
A. How much money does the average architect make in a year?
B. Who is the wealthiest person in the world?
C. How long did it take to build the largest building in the United States?
D. Where is the largest building in the United States?
A. How much money does the average architect make in a year?
Find the mean.
18, 16, 9, 19, 15, 31, 14, 16
17.25
Use Histograms #1 to solve.
How many values included in this histogram are less than 6?
8
Wendy’s pig had a litter of piglets. The five-number summary of the piglets’ weights, in pounds, is given below.
2.1 ~ 2.4 ~ 2.6 ~ 2.9 ~ 3.0
Fifty percent of the piglets weighed less than or equal to ___ pounds.
2.6 pounds
Kennedy practices hitting golf balls at a target every day after school. Her data for hitting the target each day last week was: 18, 16, 9, 19, 15, 31, 14.
Which measures of center and spread best represent the data? Explain your reasoning.
Median and IQR; the mean and range could be affected by the outlier.
Describe the possible bias in this survey situation. Explain how to modify each situation to eliminate the bias.
An employee asks customers entering a pizza restaurant about their “favorite type of food".
The bias is that they are asking at the pizza restaurant and people who go to the restaurant most likely like pizza. To eliminate the bias, ask the survey in a non-food related location (i.e. the library, movie theatre, the beach, etc.)
2, 4, 5, 8, 10, 13, 25
Find the range.
23
Use the Line Plot #1 to answer.
What is the IQR?
7 mph
Find the five-number summary for each data set.
7, 14, 15, 19, 20, 25, 27
7~14~19~25~27
Shruti tries to convince her parents that she deserves a larger allowance. She tells them that her classmates get an allowance of $20 per week on average.
Shruti got her average by surveying eight of her friends. Describe the bias that may exist in this situation.
She surveyed her friends instead of a random sample of classmates.
Peter wants to collect data about the amount of time 6th graders spend exercising weekly. Which method would be the best way to collect the data?
A. Ask students in the gym after school.
B. Survey the first 100 students who come to school that morning.
C. Have a survey booth set up in the cafeteria where students can choose to enter their data.
D. Have 6th grade teachers give a survey where students can state their data anonymously.
D. Have 6th grade teachers give a survey where students can state their data anonymously.
What are the missing numbers in the data set? Assume the numbers are in order. ___ , 20, 23, ___ , 27
Mean = 22 Range = 11
16, 24
Use the Line Plot #1 to answer.
What percent of the cars get 25 mpg or less.
60%
Given the five-number summaries, find the interquartile range (IQR) for each data set.
16 ~ 28 ~ 34 ~ 37 ~ 40
9
Shruti tries to convince her parents that she deserves a larger allowance. She tells them that her classmates get an allowance of $20 per week on average.
The data that Shruti collected is shown. What is misleading about the average that Shruti used?
$12, $12, $30, $16, $15, $50, $15, $10
30 and 50 are outliers, which affected the mean (the average)