There are five math teachers at Nate Elementary. The ages of four of the teachers are 32, 26, 35, and 27. If the mean of the ages is 31, what is the mode?
Mode will be a 35.
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To find the mode of a set of numbers, we need to determine which number appears most frequently. In this case, we have four ages: 32, 26, 35, and 27. We are looking for the number that appears most often. Since the mean of the ages is given as 31, the sum of the ages is 31 multiplied by the total number of teachers, which is 5.
To determine the fifth age, we can subtract the sum of the other four ages from the total sum. The total sum is 31 multiplied by 5, which equals 155. Subtracting the sum of the other four ages, which is 32 + 26 + 35 + 27 = 120, we get 155 - 120 = 35.
Therefore, the fifth age is 35. Now, we compare the frequency of each age: 32 appears once, 26 appears once, 35 appears twice(32, 26, 35, 35), and 27 appears once.
Since the age 35 appears most frequently (twice), the mode of the ages is 35.