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Aaliyah has the following data:\newline14,16,k,19,20,2014, 16, k, 19, 20, 20\newlineIf the mean is 1818, which number could kk be?\newlineChoices:\newline(A)(A) 11\newline(B)(B) 1919

Full solution

Q. Aaliyah has the following data:\newline14,16,k,19,20,2014, 16, k, 19, 20, 20\newlineIf the mean is 1818, which number could kk be?\newlineChoices:\newline(A)(A) 11\newline(B)(B) 1919
  1. Calculate sum excluding kk: First, calculate the sum of the given numbers excluding kk: 14+16+19+20+20=8914 + 16 + 19 + 20 + 20 = 89.
  2. Calculate total sum: Since the mean of all numbers is 1818 and there are 66 numbers, the total sum of all numbers should be 6×18=1086 \times 18 = 108.
  3. Find kk: To find kk, subtract the sum of the other numbers from the total sum required. So, k=10889=19k = 108 - 89 = 19.
  4. Check options: Check the choices given to see if 1919 is an option. Yes, 1919 is option (B).

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