QUESTION IMAGE
Question
- a class of 18 students recorded how many pets they have at home. they created the dot plot below. dot plot of number of pets a new student joins the class. we learn she has 7 pets and adds her point to the dot plot. how will this new point affect the mean number of pets?
Step1: Count original data points
Number of pets: 0(2),1(3),2(4),3(5),4(2),5(2); total=2+3+4+5+2+2=18 students
Step2: Calculate original total pets
Total = (0×2)+(1×3)+(2×4)+(3×5)+(4×2)+(5×2) = 0+3+8+15+8+10=44
Step3: Add new student's pets
New total = 44 + 7 = 51; new count=19
Step4: Compare means
Original mean = 44/18 ≈2.44; new mean=51/19≈2.68. So mean increases.
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The mean number of pets will increase.