Las notas de un alumno a lo largo del curso fueron las siguientes: 3, 5, 4, 8, 8, 6, 7, 9, 5, 7, 4, y 4 Calcula la media aritmética, la mediana y la moda

The arithmetic mean  is 5.83.

The median is 5.5.

The mode of the data is 4.

Step-by-step explanation:

The question is:

A student's grades throughout the course were as follows: 3, 5, 4, 8, 8, 6, 7, 9, 5, 7, 4, and 4 Calculate the arithmetic mean, median, and mode

Solution:

The arithmetic mean is the average value of the data set.

The formula to compute the arithmetic mean is:

Compute the arithmetic mean of the data provided:

The arithmetic mean  is 5.83.

The median is the middle value of the data. For an even set of numbers the median is mean of the middle two values, when arranges in ascending or descending order.

The arranged data is:

S = {3 , 4 , 4 , 4 , 5 , 5 , 6 , 7 , 7 , 8 , 8 , 9}

There are 12 values in the data set.

The median will be the mean of the 5th and 6th value.

5th value = 5

6th value = 6

Compute the median as follows:

The median is 5.5.

The mode of the data is the value with highest frequency.

The arranged data set is:

S = {3 , 4 , 4 , 4 , 5 , 5 , 6 , 7 , 7 , 8 , 8 , 9}

Number     Frequency

    3                   1

    4                   3

    5                   2

    6                   1

    7                   2

    8                   2

    9                   1

The value 4 has the highest frequency.

The mode of the data is 4.

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