for which set of numbers do the mean, median, and mode all have the same value?\n1, 1, 2, 5, 6\n2, 2, 2, 2…
for which set of numbers do the mean, median, and mode all have the same value?\n1, 1, 2, 5, 6\n2, 2, 2, 2, 4\n1, 3, 3, 3, 5\n1, 1, 1, 2, 5
Answer
Explanation:
Step1: Recall definitions
Mean is sum of numbers divided by count. Median is middle - number when ordered. Mode is most frequent number.
Step2: Check set 1,1,2,5,6
Mean: $\frac{1 + 1+2 + 5+6}{5}=\frac{15}{5}=3$. Median: 2. Mode: 1. They are not equal.
Step3: Check set 2,2,2,2,4
Mean: $\frac{2 + 2+2 + 2+4}{5}=\frac{12}{5}=2.4$. Median: 2. Mode: 2. They are not equal.
Step4: Check set 1,3,3,3,5
Mean: $\frac{1+3 + 3+3+5}{5}=\frac{15}{5}=3$. Median: 3. Mode: 3. They are equal.
Step5: Check set 1,1,1,2,5
Mean: $\frac{1+1 + 1+2+5}{5}=\frac{10}{5}=2$. Median: 1. Mode: 1. They are not equal.
Answer:
1,3,3,3,5