restaurant guests\n12\n10\n8\n6\n4\n2\n0\n0 - 9 10 - 19 20 - 29 30 - 39 40 - 49 50 - 59\nage (years)\nwhich…
restaurant guests\n12\n10\n8\n6\n4\n2\n0\n0 - 9 10 - 19 20 - 29 30 - 39 40 - 49 50 - 59\nage (years)\nwhich statement about the data in the histogram must be true?\na the data represent 25 restaurant guests.\nb the range of ages is 59.\nc the oldest restaurant guest is 59.\nd the mean age of restaurant guests is 30.
Answer
Explanation:
Step1: Calculate total number of guests
Add the number of guests in each age - group: $1 + 0+0 + 6+8 + 10=25$.
Step2: Analyze range of ages
The age groups are $0 - 9$, $10 - 19$, $20 - 29$, $30 - 39$, $40 - 49$, $50 - 59$. The range is calculated as the difference between the upper - limit of the highest age group and the lower - limit of the lowest age group. The lower - limit of the lowest age group is $0$ and the upper - limit of the highest age group is $59$, so the range is $59-0 = 59$. But we don't know if there are no guests above $59$ or below $0$ in reality, this is just based on the given age - groups.
Step3: Analyze age of oldest guest
We only know the age groups, not the exact ages of the guests. The oldest guest could be less than $59$.
Step4: Analyze mean age
We don't have enough information to calculate the mean age as we don't know the exact ages of the guests within each age - group.
Answer:
A. The data represent 25 restaurant guests.