Which measure of central tendency best represents the data? Justify your answer. Then find the measure.

Jason conducts a survey about the number of pets his friends have. He wants to best represent the number of pets: 0, 2, 1, 2, 4, 0, 2, 3, 1, 2, 1, 2, 3, 2, 4, 3, 10.

A measure of central tendency is a summary statistic that represents the center point or typical value of a datasheet.

The 3 most common measures of central tendency are the mean, median and mode.

The mean is equal to the sum of all data values divided by the number of data values.

The number of pets are: 0, 2, 1, 2, 4, 0, 2, 3, 1, 2, 1, 2, 3, 2, 4, 3, 10

Observe the data.

The number of data$=17$

Some friends of Jason have same number of pets and some friends of Jason have different number of pets.

So, the combined number of pets can be represented by the average of their number of pets.

Since, average is denoted by mean.

So, mean would best represent the data.

To find the mean value, add all the data values and divide by the number of data.

Mean$=\frac{0+2+1+2+4+0+2+3+1+2+1+2+3+2+4+3+10}{17}$

Mean$=\frac{42}{17}$

Use calculator.

Mean$=2.470588235$

Therefore, the best measure of central tendency to represent the data is mean of the data and the value of mean is 2.470588235.