⊂ Hey, rosedalphinis ⊃
Answer:
Mean: 6.9 hours; Median 7 hours
Step-by-step explanation:
<u><em>⇒ Given:</em></u>
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<em>Suppose these show number of hours each student in a class slept last night:</em>
<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>
<em>What is the mean of these numbers (rounded to the nearest tenth)?</em>
<em>What is the median?</em>
<em>Mean: 6.9 hours; Median 7 hours</em>
<em>Mean: 6.9 hours; Median 7.5 hours</em>
<em>Mean: 7 hours; Median 6.9 hours</em>
<em>Mean: 7.2 hours; Median 7 hours</em>
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<u><em>⇒ Solution~:</em></u>
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<em>Let's first define "Median".</em>
<em>You may be wondering "What is median/What is mean?".</em>
<em>When it asking for "Mean" It asking for the average.</em>
<em>When it asking for "Median" It asking for the middle number.</em>
<em>The formula for "Mean" is : M = sum of the terms/number of terms</em>
<em />
<em>According to the given we have;</em>
<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>
<em />
<em>Let's first find the "Mean":</em>
<em>First, add all the number together.</em>
<em>8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>
<em>12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>
<em>20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>
<em>27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>
<em>34 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>
<em>43+ 6 + 5 + 10 + 7 + 6 + 6</em>
<em>49+ 5 + 10 + 7 + 6 + 6</em>
<em>54+ 10 + 7 + 6 + 6</em>
<em>64 + 7 + 6 + 6</em>
<em>71+ 6 + 6</em>
<em>77 + 6</em>
<em>= 83</em>
<em>Now let's count how many numbers of hours each student in a class slept.</em>
<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12</em>
<em>Now 83 divide by 12:</em>
<em>83/12 = 6.9166666666667 {Round}</em>
<em>6.9166666666667 = 6.9</em>
<em>Therefore, Mean = 6.9</em>
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<em>Next, Let's find the "Median":</em>
<em>To find the Median, place the numbers in value order and find the middle.</em>
<em>⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>
<em>⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10</em>
<em>Now we have them in order:</em>
<em>4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10</em>
<em>Then, we find the middle number:</em>
<u><em>4,</em></u><em> 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, </em><u><em>10</em></u>
<u><em>4, 5,</em></u><em> 6, 6, 6, 7, 7, 7, 8, 8, </em><u><em>9, 10</em></u>
<u><em>4, 5, 6,</em></u><em> 6, 6, 7, 7, 7, 8, </em><u><em>8, 9, 10</em></u>
<u><em>4, 5, 6, 6, </em></u><em>6, 7, 7, 7, </em><u><em>8, 8, 9, 10</em></u>
<u><em>4, 5, 6, 6, 6, </em></u><em>7, 7,</em><u><em> 7, 8, 8, 9, 10</em></u>
<em />
<em>Now You see that there two's 7 left.</em>
<em> If there is an even number of numbers add the two middles and divide by 2</em>
<em>Thus,</em>
<em>7 + 7 = 14</em>
<em>14/2 = 7</em>
<em>Therefore, Median = 7.</em>
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<em>According to the solving above we can conclude that:</em>
<em>Mean: 6.9 hours; Median 7 hours</em>
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<em />
<u><em>xcookiex12</em></u>
<em>9/4/2022</em>
<em>#Learnwithxcookiex12</em>