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Find the mean, median, and mode of the data below.

15, 14, 13, 19, 15, 13, 12, 13, 11, 8, 14, 18
Mean: 13.75
Median:
Mode: 2

User Niel
by
7.8k points

1 Answer

1 vote

Answer:

The answer to your problem is down below:

Mean: 16.75

Median: 15.5

Mode: 13

What is Mean, Mode, and Median??

We need to know that mean, median and mode are all measures of central tendency in statistics. In different ways they each tell us what value in a data set is typical or representative of the data set.

MEAN: The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.

MEDIAN: The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.

MODE: The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set. The mode is the number with the highest tally. It's ok if there is more than one mode. And if all numbers occur the same number of times there is no mode.

How do you find Mean, Median, and Mode?

How to Find the Mean

  • Add up all data values to get the sum
  • Count the number of values in your data set
  • Divide the sum by the count

Remember: The mean is the same as the average value in a data set.

The mean x of a data set is the sum of all the data divided by the count n.

Formula for Mean: First Image.

How to Find the Median

The median x is the data value separating the upper half of a data set from the lower half.

  • Arrange data values from lowest to highest value
  • The median is the data value in the middle of the set
  • If there are 2 data values in the middle the median is the mean of those 2 values.

How to Find the Mode

  • Mode is the value or values in the data set that occur most frequently.
  • For the data set 1, 1, 2, 5, 6, 6, 9 the mode is 1 and also 6.

Thus the answer to your problem is:

Mean: 16.75

Median: 15.5

Mode: 13

User Eduardo Reveles
by
7.7k points