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QuestionFind the mean, median, and mode for the data set: 14, 10, 16, 14, 11.

Studdy Solution

STEP 1

Assumptions1. The data set is14,10,16,14,11. The mean is the average of all the numbers in the data set3. The median is the middle number when the data set is arranged in ascending order4. The mode is the number that appears most frequently in the data set

STEP 2

First, we need to find the mean. We can do this by adding all the numbers in the data set and then dividing by the number of items in the set.
Mean=Sum of all numbersNumber of itemsMean = \frac{Sum\, of\, all\, numbers}{Number\, of\, items}

STEP 3

Now, plug in the given values for the numbers in the data set and the number of items to calculate the mean.
Mean=14+10+16+14+115Mean = \frac{14 +10 +16 +14 +11}{5}

STEP 4

Calculate the mean.
Mean=14+10+16+14+11=65=13Mean = \frac{14 +10 +16 +14 +11}{} = \frac{65}{} =13

STEP 5

Next, we need to find the median. To do this, we first arrange the numbers in the data set in ascending order.
10,11,14,14,1610,11,14,14,16

STEP 6

The median is the middle number in the ordered data set. In this case, the median is14.

STEP 7

Finally, we need to find the mode. The mode is the number that appears most frequently in the data set. In this case, the mode is also14.
So, the mean, median, and mode for the given data set are13,14, and14 respectively.

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