BOX PLOTS
MEASURES OF SPREAD
100
Which data set could be represented by the box plot shown below?
Choose 1 answer:
- A
24, 25, 29, 31, 31, 31, 32, 34, 35
- B
24, 27, 29, 30, 30, 31, 32, 34, 34
- C
24, 25, 29, 30, 30, 31, 34, 34, 34
- D
24, 25, 29, 30, 31, 31, 32, 34, 34
D
100
A boutique consulting firm tracked the number of billable hours logged last week by its 7 consultants:
32, 35, 36, 38, 38, 40, 65
a) Find the range.
b) Find Q1, median, Q3, and the IQR.
c) Find the mean.
d) Find the standard deviation (round to one decimal place).
a) Range = 65 − 32 = 33
b.) Q1 = 35, Median = 38, Q3 = 40, IQR = 40 − 35 = 5
c.) Mean = (32+35+36+38+38+40+65)/7 = 284/7 ≈ 40.6
d.) 11.1
200
The data below represents the number of workouts each member of Big Muscles Gym attended last month.
4, 5, 7, 7, 7, 8, 10, 11, 11, 13, 13, 14
Which box plot correctly summarizes the data?
a.)
b.)
a
200
Two delivery drivers, both with 8 weeks of data, report the same range and the same mean for their weekly delivery counts:
Driver A: 40, 41, 42, 43, 44, 45, 46, 79
Driver B: 40, 45, 48, 50, 52, 55, 58, 72
a) Confirm both datasets have the same minimum (40) and roughly similar means (compute both to check).
b) Compute the standard deviation for each driver.
c) Even though they're superficially similar, one driver's standard deviation should come out noticeably different from the other's. Which one, and why — walk through what's different about how their deviations from the mean are distributed.
a.) Both minimums = 40
b.) Driver A: SD≈12.9, Driver B: SD≈9.7
c.) 2-3 Sentences
300
Data Set A: {12, 15, 15, 18, 18, 18, 19, 20, 21}
Data Box B: 
Determine which of the following statements are true.
a.) median of A = median of B
b) range of A > range of B
c.) IQR of A = IQR of B
a & b
300
A report states: "Team X's weekly sales have a standard deviation of $2,100. Team Y's weekly sales have a standard deviation of $340."
a) Without knowing anything else, what can you conclude about which team's performance is more predictable week to week?
b) What can you not conclude from these two numbers alone? Name at least one thing a manager would still need to know before deciding which team is performing "better."
a.) 2-3 Sentences
b.) 2-3 Sentences