Define the following 1. Mean 2. Median 3. Mode 4. Standard Deviation
- Mean: The mean, also known as the average, is the sum of all values divided by the total number of values. It gives us an idea of the typical value in a dataset. For instance, if we have test scores of 10 students: 75, 80, 85, 90, 95, 70, 75, 80, 85, 90, the mean score would be (75 + 80 + 85 + 90 + 95 + 70 + 75 + 80 + 85 + 90) / 10 = 82.5.
- Median: The median is the middle value in a dataset when it’s arranged in ascending or descending order. It’s useful to avoid the influence of extreme values. If we take the same test scores as above, the median would be the middle score, which is 85.
- Mode: The mode is the value that appears most frequently in a dataset. If we consider the same test scores, the mode would be 85 since it appears twice, more than any other score.
- Standard Deviation: The standard deviation measures the dispersion or spread of values around the mean. A higher standard deviation indicates greater variability. To calculate it, first find the mean, then subtract the mean from each value, square the result, and find the average of those squared differences. Finally, take the square root of that average. For example, if we have the following test scores: 75, 80, 85, 90, 95, the mean is 85. The squared differences from the mean are (75-85)^2, (80-85)^2, (85-85)^2, (90-85)^2, and (95-85)^2. After averaging these squared differences and taking the square root, we get the standard deviation.
[mediator_tech]
1. The __________ is the sum of all values divided by the total number of values.
a) Median
b) Mode
c) Mean
2. The __________ is the middle value in a dataset when arranged in ascending or descending order.
a) Mode
b) Mean
c) Median
3. The value that appears most frequently in a dataset is called the __________.
a) Mean
b) Median
c) Mode
4. The __________ measures the dispersion or spread of values around the mean.
a) Standard Deviation
b) Median
c) Mean
5. If a dataset has an even number of values, the median is the __________ of the two middle values.
a) Average
b) Sum
c) Difference
6. The formula for calculating the standard deviation involves squaring the differences from the __________.
a) Mode
b) Median
c) Mean
7. In a dataset, if the mean is significantly higher than the median, it indicates the presence of __________ values.
a) Outlier
b) Mode
c) Standard Deviation
8. The __________ is less affected by outliers compared to the mean.
a) Standard Deviation
b) Median
c) Mode
9. If a dataset has two values that appear most frequently, it is called a __________ distribution.
a) Bimodal
b) Unimodal
c) Multimodal
10. The measure of __________ gives us an idea of the central value in a dataset.
a) Standard Deviation
b) Spread
c) Central Tendency
11. The __________ is calculated by finding the sum of squared differences between each value and the mean.
a) Mode
b) Median
c) Variance
12. The middle value of the dataset that separates it into two equal halves is the __________.
a) Mean
b) Median
c) Mode
13. The __________ gives us an idea of the typical value in a dataset.
a) Spread
b) Variability
c) Mean
14. A higher __________ indicates greater variability in the dataset.
a) Median
b) Mean
c) Standard Deviation
15. If a dataset has three values that appear most frequently, it is called a __________ distribution.
a) Unimodal
b) Trimodal
c) Multimodal
[mediator_tech]
Explain five (5) main objectives of indigenous or traditional education in Nigeria.