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Question
mr. sanders hosts a spoken - word open mic night each month, where anyone can sign up to perform. the histogram below shows the number of performers at each open mic night. mr. sanders says at more than half of open mic nights, there were fewer than 9 performers. is mr. sanders’s statement correct? use the drop - down menus to explain. mr. sanders hosted a total of choose... open mic nights. of these, there were choose... nights with fewer than 9 performers. so, mr. sanders’s statement is choose... .
Step1: Calculate total number of open - mic nights
Add the frequencies: $2 + 6+3 + 4+ 2+1=18$
Step2: Calculate number of nights with fewer than 9 performers
Add frequencies of $0 - 2$, $3 - 5$, and $6 - 8$ groups: $2 + 6+3 = 11$
Step3: Check the statement
Since $\frac{11}{18}\gt\frac{1}{2}$, the statement is correct.
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Mr. Sanders hosted a total of 18 open mic nights. Of these, there were 11 nights with fewer than 9 performers. So, Mr. Sanders's statement is correct.