Question

problem solving
leveled practice the stem - and - leaf plots show the daily produce sales at farmer’s market a and farmer’s market b over the last 15 days.
in 6 and 7, complete the statement.

1. from the means, you can conclude the average typical daily sales for farmer’s market

is greater than the average typical daily sales for farmer’s market
.

1. from the ranges, you can conclude there is equal

in the daily sales for farmer’s market a and farmer’s market b.

1. how can you use the data in the histograms to compare the ages of the people who attended the concerts?

Explanation:

Step1: List Market A sales values

From the stem-and-leaf plot (key: $1|1=110$):
$110, 120, 190, 220, 240, 270, 320, 350, 360, 380, 430, 440, 460, 470, 500$

Step2: Calculate Market A mean

Sum values, divide by 15:
$\text{Mean}_A = \frac{110+120+190+220+240+270+320+350+360+380+430+440+460+470+500}{15} = \frac{5260}{15} \approx 350.67$

Step3: List Market B sales values

From the stem-and-leaf plot (key: $1|2=120$):
$120, 180, 200, 260, 290, 240, 330, 360, 370, 380, 440, 450, 470, 480, 510$

Step4: Calculate Market B mean

Sum values, divide by 15:
$\text{Mean}_B = \frac{120+180+200+260+290+240+330+360+370+380+440+450+470+480+510}{15} = \frac{5460}{15} = 364$

Step5: Find ranges for both markets

Range = Max - Min
Market A: $500 - 110 = 390$
Market B: $510 - 120 = 390$

Step6: Analyze histograms

Compare peak age groups and distribution shape.

Answer:

1. From the means, you can conclude the average typical daily sales for Farmer's Market $\boldsymbol{B}$ is greater than the average typical daily sales for Farmer's Market $\boldsymbol{A}$.
2. From the ranges, you can conclude there is equal $\boldsymbol{variability/range}$ in the daily sales for Farmer's Market A and Farmer's Market B.
3. You can compare the histograms by:

• Identifying the most common (peak) age groups: the Southern Rock Concert has the largest audience in the 10-19 age group, while the Latino Music Concert has the largest audience in the 30-39 age group.
• Observing distribution spread: the Southern Rock Concert audience is skewed toward younger ages, with numbers decreasing as age increases; the Latino Music Concert has a more evenly spread audience across all age groups, with no extreme drop-off in older age brackets.
• Comparing overall counts: the Southern Rock Concert has a larger total audience in its peak group than the Latino Music Concert's peak group.