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Original
2026-01-01
Modified
2026-02-28
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<p>To find class intervals of datasets accurately, we follow these steps:</p>
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<p>To find class intervals of datasets accurately, we follow these steps:</p>
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<p><strong>Step 1:</strong>Find the<a>range</a>. To find the range of the dataset, subtract the minimum value from the maximum value. Range = maximum value - minimum value.</p>
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<p><strong>Step 1:</strong>Find the<a>range</a>. To find the range of the dataset, subtract the minimum value from the maximum value. Range = maximum value - minimum value.</p>
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<p><strong>Step 2:</strong>Decide the<a>number</a>of intervals. Choose how many class intervals you need, depending on the size of the data set and the level<a>of details</a>required. </p>
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<p><strong>Step 2:</strong>Decide the<a>number</a>of intervals. Choose how many class intervals you need, depending on the size of the data set and the level<a>of details</a>required. </p>
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<p><strong>Step 3:</strong>Calculate the class width. Determine the class width by dividing the range by the number of intervals selected. Class width = range ÷ number of intervals.</p>
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<p><strong>Step 3:</strong>Calculate the class width. Determine the class width by dividing the range by the number of intervals selected. Class width = range ÷ number of intervals.</p>
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<p><strong>Step 4:</strong>Set the class boundaries. Start from the minimum value, then repeatedly add the class width to maintain the lower and upper limits of each interval. </p>
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<p><strong>Step 4:</strong>Set the class boundaries. Start from the minimum value, then repeatedly add the class width to maintain the lower and upper limits of each interval. </p>
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<p><strong>Step 5:</strong>Organize the<a>data</a>. Place each data point into its appropriate class interval based on the boundaries you have defined.</p>
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<p><strong>Step 5:</strong>Organize the<a>data</a>. Place each data point into its appropriate class interval based on the boundaries you have defined.</p>
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<p>Let us practice through an example: </p>
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<p>Let us practice through an example: </p>
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<p>A teacher records the ages of 12 students in a class as 10, 12, 14, 15, 13, 17, 18, 16, 19, 11, 13, 15. Organize the data using class intervals.</p>
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<p>A teacher records the ages of 12 students in a class as 10, 12, 14, 15, 13, 17, 18, 16, 19, 11, 13, 15. Organize the data using class intervals.</p>
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<p>Solution: </p>
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<p>Solution: </p>
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<p><strong>Step 1:</strong>First, we can find the range. We know that the maximum value = 19, and the minimum value = 10. So, range \(= 19 - 10 = 9\).</p>
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<p><strong>Step 1:</strong>First, we can find the range. We know that the maximum value = 19, and the minimum value = 10. So, range \(= 19 - 10 = 9\).</p>
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<p><strong>Step 2:</strong>Since, we have 12 data points, we choose 4 intervals.</p>
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<p><strong>Step 2:</strong>Since, we have 12 data points, we choose 4 intervals.</p>
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<p><strong>Step 3:</strong>Now, we can calculate the class width. We know that, class width = range ÷ number of intervals. Then class width \(= 9 ÷ 4 = 2.25\). We can round it to the nearest<a></a><a>whole number</a>, 3. </p>
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<p><strong>Step 3:</strong>Now, we can calculate the class width. We know that, class width = range ÷ number of intervals. Then class width \(= 9 ÷ 4 = 2.25\). We can round it to the nearest<a></a><a>whole number</a>, 3. </p>
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<p><strong>Step 4:</strong>We can set the class boundaries, starting from the minimum value 10, and by adding the class width 3. Hence, the classes will be: </p>
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<p><strong>Step 4:</strong>We can set the class boundaries, starting from the minimum value 10, and by adding the class width 3. Hence, the classes will be: </p>
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<ul><li>10 -13</li>
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<ul><li>10 -13</li>
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<li>13 -16</li>
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<li>13 -16</li>
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<li>16 -19</li>
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<li>16 -19</li>
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<li>19 -22</li>
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<li>19 -22</li>
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</ul><p>Here, we have added one extra interval to ensure that all values are covered. </p>
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</ul><p>Here, we have added one extra interval to ensure that all values are covered. </p>
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<p><strong>Step 5:</strong>Now we can organize the data into intervals. </p>
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<p><strong>Step 5:</strong>Now we can organize the data into intervals. </p>
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Class interval Data values Frequency 10 - 13 10, 12, 11, 13, 13 5 13- 16<p>14, 15, 15</p>
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Class interval Data values Frequency 10 - 13 10, 12, 11, 13, 13 5 13- 16<p>14, 15, 15</p>
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3 16 - 19 16, 17, 18, 19 4 19 - 22 _ 0
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3 16 - 19 16, 17, 18, 19 4 19 - 22 _ 0