Recognize Statistical Questions (8-1)
Liam is tracking the number of books read by his friends over the summer. Which of the following is a statistical question?
A. How many books did each friend read? B. How many books did Liam read? C. How many books were read in total by all friends? D. How many books did you read?
A. How many books did each of your friends read?
Here are the temperatures of a random 6 days in California in degrees Fahrenheit: 88, 92, 75, 85, 95, 80. Find the median and range of the data set.
Median: 86.5
Range: 20
The following numbers show how many hours of screen time students spent over the weekend:
3, 6, 4, 7, 9, 5, 8
Order the data and find the five-number summary (minimum, Q1, median, Q3, maximum) needed to make a box plot
Ordered: 3, 4, 5, 6, 7, 8, 9
Min: 3
Q1: 4
Median: 6
Q3: 8
Max: 9
The ages of 10 pets at an animal shelter are:
1, 2, 3, 2, 4, 1, 5, 3, 2, 4
Make a frequency table showing how many pets are each age.
Age: Frequency
1: 2
2: 3
3: 2
4: 2
5: 1
A sixth-grade class recorded the number of letters in each student’s first name. The results are shown in the dot plot. What number best represents the center?
7.
Kylie is comparing how many boys and girls went to the beach over the summer. Which of the following is a statistical question that could help her analyze this comparison?
A. Did the girls go to the beach more than the boys? B. How many times did each boy and girl go to the beach? C. How many of your friends went to the beach? D. How many boys went to the beach more than 3 times?
B. How many times did each boy and girl go to the beach?
Ms. Lei says that the class average test score for 8 students is higher than their average at the beginning of the year. Given the following scores what is the mean of each data set and is Ms. Lei correct?
BOY: 76, 98, 100, 57, 63, 95, 89, 82
EOY: 99, 93, 68, 74, 88, 76, 61, 91
BOY mean: 82.5
EOY mean: 85
Ms. Lei was correct!
Sonia was counting the grams of sugar in various cans of soda. The boxplot values she found are listed and shown:
Which of the following statements best describes the distribution of sugar content in 12-ounce sodas based on the box plot?
A. Most sodas have less than 30g of sugar.
B. The sugar content is evenly distributed across all sodas.
C. Half of the sodas contain between 31g and 42g of sugar.
D. There is an outlier above 48g that affects the median.
C. Half of the sodas contain between 31g and 42g of sugar.
Here is a frequency table of scores on a quiz:
Create a histogram to represent the data. What is the most common score range and how many students fall in it?
Most common score range: 80–89
Number of students: 7
Simrin earned the following test scores:
70, 85, 100, 87, 80, 70, 95, 91
Which measure would you use to show how much she improved? Explain.
Range
Divya is drafting a science fair project and is trying to come up with a statistical question to kick off her hypothesis. She has 2 ideas:
1. How long does it take for a particular plant to grow 3 inches in a controlled environment?
2. How does the growth rate of three different types of plants vary under the same conditions?
Which idea(s) is/are statistical, and why?
Idea 2, because it compares data from multiple plant types, allowing for variability and analysis.
A farmer is tracking the number of apples harvested during the first season and collects the following data:
52, 60, 48, 70, 65, 55, 63, 72, 58, 66
Calculate the mean, median, mode, and range. If the farmer wants to improve the average harvest by at least 10 apples by the end of next season, what would the target mean for the harvest at the end of next season?
Mean and median: 61.5 apples
Mode: No mode
Range: 24
Target mean: 71.5
Kai went bowling with his friends and scores the following points:
8, 5, 14, 10, 30, 18, 19, 21
If Kai scores 26 points in the next round, find the five-number summary (minimum, Q1, median, Q3, maximum) needed to make a box plot for his scores.
Min: 5
Q1: 9
Median: 18
Q3: 23.5
Maximum: 30
Jolin measured the time (in minutes) it took to solve a puzzle. The times were:
12, 15, 22, 18, 25, 17, 20, 19, 24, 30, 35, 22, 21, 18, 19, 23, 29, 27
Organize the data into a frequency table using intervals of 10–14, 15–19, 20–24, 25–29, and 30–34.
10-14: 1
15-19: 6
20-24: 6
25-29: 4
30-34: 1
For each of 8 weeks walking dogs, Marcus earned the following dollar amounts: 22, 14, 25, 25, 30, 18, 25, and 12.
Marcus made at least $19 in 75% of the weeks that he worked. Explain whether this statement is correct or incorrect.
Incorrect, Marcus made at least $18 in 75% of the weeks that he worked.