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6. a class of 18 students recorded how many pets they have at home. the…

Question

  1. 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?

Explanation:

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.

Answer:

The mean number of pets will increase.