Describe about the Mean, Mode and Median

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Assignment: Mean, Mode, and Median

1. Introduction

In statistics, mean, mode, and median are measures of central tendency. They are used to summarize a set of data with a single representative value and help us understand the general trend of the data.

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2. Definitions

Mean

The mean is the average of all values in a dataset. It is calculated by adding all the numbers together and then dividing by the total number of values.

Formula:

$$\text{Mean} = \frac{\text{Sum of all values}}{\text{Total number of values}}$$

Median

The median is the middle value when the data is arranged in ascending or descending order. If there is an even number of values, the median is the average of the two middle numbers.

Mode

The mode is the value that appears most frequently in a dataset. A set may have one mode, more than one mode, or no mode at all if all values are unique.

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3. Given Data

• Number of Students: 5, 8, 10, 25

• Heights (in cm): 110, 115, 125, 130

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4. Calculations

We are asked to calculate the mean, mode, and median for the heights.

Step 1: Arrange the heights

Heights (already in ascending order):
110, 115, 125, 130

A. Mean

$$\text{Mean} = \frac{110 + 115 + 125 + 130}{4} = \frac{480}{4} = 120$$

Mean = 120 cm

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B. Median

Since there are 4 values (even number), the median is the average of the two middle numbers (115 and 125):

$$\text{Median} = \frac{115 + 125}{2} = \frac{240}{2} = 120$$

Median = 120 cm

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C. Mode

Each value appears only once:
110, 115, 125, 130

There is no repeating value, so no mode exists.

Mode = No mode

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5. Conclusion

In this assignment, we learned the meaning of mean, median, and mode. After calculating the statistical values for the given heights of students:

• Mean = 120 cm

• Median = 120 cm

• Mode = No mode

These measures help us understand the central height value in the given data.

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