Box and Whisker Plot
The numbers are: 2, 5, 7, 8, 10. Draw a box and whisker plot and identify the median.
7
The number of apples sold in a week: Mon = 3, Tue = 5, Wed = 2. Draw a bar graph and identify the day with the highest sales.
Highest sales: Tuesday (5 apples)
Compare the number of boys and girls in 3 classes:
Class A: Boys 10, Girls 12
Class B: Boys 8, Girls 9
Class C: Boys 7, Girls 6
Which class has the most girls?
Class A (12 girls)
Create a bar graph for the number of pets owned by 5 students: 1, 2, 1, 3, 2. Which number of pets is most common?
Most common: 1 and 2 pets (tie)
Find the GCF of 8 and 12.
4
The numbers are: 4, 6, 8, 10, 12, 14. What is the lower quartile (Q1) and upper quartile (Q3)?
Q1 = 5, Q3 = 12
The table shows books read by 5 students: 2, 4, 3, 5, 1. Draw a bar graph and identify the median.
Median = 3 books
The graph shows test scores: Math: Sam 80, Amy 90; Science: Sam 85, Amy 95. Who scored higher in Math?
Amy (90 > 80)
Data: Favorite colors of 10 students: Red 3, Blue 4, Green 3. Create a bar graph. Which color is least favorite?
Red and Green (tie, 3 students each)
Find the LCM of 3 and 4.
12
A box plot shows: Min = 3, Q1 = 5, Median = 7, Q3 = 9, Max = 12. What is the interquartile range (IQR)?
IQR = Q3 − Q1 = 9 − 5 = 4
Monthly rainfall (in inches): Jan = 2, Feb = 3, Mar = 5, Apr = 4. Which month had the least rainfall?
Least rainfall: January (2 inches)
Weekly sales of pens and pencils: Mon (Pens 5, Pencils 7), Tue (Pens 6, Pencils 5), Wed (Pens 4, Pencils 6). On which day were pencils sold more than pens?
Monday and Wednesday
Create a bar graph for the number of books read in a month: 2, 5, 4, 3, 6. Calculate the range.
Range = Max − Min = 6 − 2 = 4 books
Find both the GCF and LCM of 6 and 15.
GCF = 3, LCM = 30
Data set: 1, 2, 2, 3, 4, 5, 6, 7, 8. Draw a box plot and identify any outliers.
Median = 4, Q1 = 2, Q3 = 6, IQR = 4.
Outliers: None (no number < Q1 − 1.5×IQR = -4 or > Q3 + 1.5×IQR = 12)
A bar graph shows students’ favorite fruits: Apples 6, Bananas 4, Oranges 5. How many more students chose apples than bananas?
6 − 4 = 2 more students
The graph compares reading and writing scores for 5 students. Sam 90/85, Amy 80/75, Jake 70/60, Lily 85/90, Tom 95/100. Which student improved the most in writing compared to reading?
Lily (Writing 90 − Reading 85 = +5)
Students collected shells: Sam 5, Amy 7, Jake 3, Lily 8, Tom 6. Create a bar graph and determine how many collected more than 5 shells.
Amy (7), Lily (8), Tom (6) → 3 students
Find the LCM of 8, 12, and 20.
120
The test scores of students are: 55, 60, 62, 65, 68, 70, 72, 75, 80, 85, 90. Construct a box plot and determine which scores are outliers.
Median = 70, Q1 = 62, Q3 = 80, IQR = 18.
Outlier thresholds: <62 − 27 = 35, >80 + 27 = 107.
Outliers: None.
The table shows weekly exercise hours: Sam = 5, Amy = 3, Jake = 6, Lily = 4, Tom = 7. Draw a bar graph and calculate the average hours of exercise.
Total hours = 5 + 3 + 6 + 4 + 7 = 25
Average = 25 ÷ 5 = 5 hours
A double bar graph shows sports participation over 4 months:
Soccer: Jan 10, Feb 15, Mar 12, Apr 18
Basketball: Jan 12, Feb 10, Mar 15, Apr 14
Which sport had the highest total participation over the 4 months?
Soccer total = 10+15+12+18 = 55
Basketball total = 12+10+15+14 = 51
Highest: Soccer
Data: Hours spent on homework each day: Mon 2, Tue 3, Wed 4, Thu 2, Fri 5. Create a bar graph and calculate the average homework per day.
Total hours = 2+3+4+2+5 = 16
Average = 16 ÷ 5 = 3.2 hours
A school wants to arrange chairs in rows so that each row has the same number of chairs, using 36 and 48 chairs. What is the greatest number of chairs that can be in each row? Also, what is the smallest number of chairs needed if they want all rows to have the same number of chairs for both groups combined?
GCF = 12 chairs per row, LCM = 144 chairs for both groups combined