Question

2,3,1,4,4,3,4,12,15,1,4 find mean,median, and mode

Answer 1

Mean is 4.818

Mode is 4

Median is 4

Solution:

Given data set is:

2,3,1,4,4,3,4,12,15,1,4

Find Mean:

The average of all the data in a set is mean

$Mean = \frac{\text{sum of all data}}{\text{number of data}}\\\\Mean = \frac{2+3+1+4+4+3+4+12+15+1+4}{11}\\\\Mean = \frac{53}{11}\\\\Mean = 4.818$

Find mode:

The value which occures most frequently in a data set is mode

In given data set,

4 occurs frequently ( 4 times )

Thus mode of data set is 4

Find median

The value in a set which is most close to the middle of a range.

Order the number in ascending order

1, 1, 2, 3, 3, 4, 4, 4, 4, 12, 15

Here, 4 is the middle number in set

Thus medain is 4

Answer 2

Arrange the data set from least to greatest (or the listed numbers)

1, 1, 2, 3, 3, 4, 4, 4, 4, 12, 15

Mode: 4

Mean: 1 + 1 + 2 + 3 + 3 + 4 + 4 + 4 + 4 + 12 + 15 = 4.81 or 4.8

Median: 4