0 added
0 removed
Original
2026-01-01
Modified
2026-02-28
1
<p>When we use mean, median, or mode, the right choice depends on how the data is spread out. This spread is called a distribution.</p>
1
<p>When we use mean, median, or mode, the right choice depends on how the data is spread out. This spread is called a distribution.</p>
2
<p><strong>Types of Data Distribution</strong></p>
2
<p><strong>Types of Data Distribution</strong></p>
3
<p>When we look at numbers, they can be arranged in different ways. These arrangements are called distributions. The two common types are:</p>
3
<p>When we look at numbers, they can be arranged in different ways. These arrangements are called distributions. The two common types are:</p>
4
<p><strong>Normal Distribution:</strong>Numbers are spread evenly on both sides. Most values are close to the middle, with only a few very high or very low numbers. For example, if most students score around 70 on a test, only a few might score much higher or lower.</p>
4
<p><strong>Normal Distribution:</strong>Numbers are spread evenly on both sides. Most values are close to the middle, with only a few very high or very low numbers. For example, if most students score around 70 on a test, only a few might score much higher or lower.</p>
5
<p><strong>Skewed Distribution:</strong> Numbers are not evenly spread. Most values are on one side, while a few are far away on the other.</p>
5
<p><strong>Skewed Distribution:</strong> Numbers are not evenly spread. Most values are on one side, while a few are far away on the other.</p>
6
<p><strong>Right-skewed:</strong>Most numbers are small, and only a few are very large.</p>
6
<p><strong>Right-skewed:</strong>Most numbers are small, and only a few are very large.</p>
7
<p><strong>Left-skewed:</strong>Most numbers are significant, and only a few are very small.</p>
7
<p><strong>Left-skewed:</strong>Most numbers are significant, and only a few are very small.</p>
8
<p><strong>Measures of Central Tendency for Normal Distribution</strong></p>
8
<p><strong>Measures of Central Tendency for Normal Distribution</strong></p>
9
<p>In a normal distribution, most numbers are near the middle, so the mean, median, and mode are usually the same or very close. This makes it easy to find a “typical” value for the data.</p>
9
<p>In a normal distribution, most numbers are near the middle, so the mean, median, and mode are usually the same or very close. This makes it easy to find a “typical” value for the data.</p>
10
<p><strong>Examples of Skewed Distribution</strong></p>
10
<p><strong>Examples of Skewed Distribution</strong></p>
11
<p><strong>Right-skewed (most low scores, few high scores):</strong></p>
11
<p><strong>Right-skewed (most low scores, few high scores):</strong></p>
12
<p> Marks of 7 students: 40, 45, 50, 55, 60, 90, 95</p>
12
<p> Marks of 7 students: 40, 45, 50, 55, 60, 90, 95</p>
13
<p> Most students scored between 40 and 60, but a few scored very high. In this case, the mean is<a>greater than</a>the median, which is greater than the mode.</p>
13
<p> Most students scored between 40 and 60, but a few scored very high. In this case, the mean is<a>greater than</a>the median, which is greater than the mode.</p>
14
<p><strong>Left-skewed (most high scores, few low scores):</strong></p>
14
<p><strong>Left-skewed (most high scores, few low scores):</strong></p>
15
<p> Marks: 40, 80, 85, 90, 92, 95, 98</p>
15
<p> Marks: 40, 80, 85, 90, 92, 95, 98</p>
16
<p> Most students scored high, but one scored low. Here, the mean is<a>less than</a>the median, which is less than the mode.</p>
16
<p> Most students scored high, but one scored low. Here, the mean is<a>less than</a>the median, which is less than the mode.</p>
17
<p>Tip: In skewed distributions, the median is usually a better measure of the middle value because the mean can be affected by extreme values.</p>
17
<p>Tip: In skewed distributions, the median is usually a better measure of the middle value because the mean can be affected by extreme values.</p>