document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171479>Question 1171479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. {2, 3, 6, 6, 2, 7, 2}<BR>\n" );
document.write( "mean = <BR>\n" );
document.write( "median = <BR>\n" );
document.write( "mode = <BR>\n" );
document.write( "sample variance = <BR>\n" );
document.write( "sample standard deviation = <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850908 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's calculate the mean, median, mode, sample variance, and sample standard deviation for the given data set: {2, 3, 6, 6, 2, 7, 2}.\r<BR>\n" );
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document.write( "**1. Mean:**\r<BR>\n" );
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document.write( "* Sum of the values: 2 + 3 + 6 + 6 + 2 + 7 + 2 = 28<BR>\n" );
document.write( "* Number of values: 7<BR>\n" );
document.write( "* Mean: 28 / 7 = 4\r<BR>\n" );
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document.write( "**2. Median:**\r<BR>\n" );
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document.write( "* First, arrange the data in ascending order: 2, 2, 2, 3, 6, 6, 7<BR>\n" );
document.write( "* The median is the middle value. Since there are 7 values, the median is the 4th value.<BR>\n" );
document.write( "* Median: 3\r<BR>\n" );
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document.write( "**3. Mode:**\r<BR>\n" );
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document.write( "* The mode is the value that appears most frequently.<BR>\n" );
document.write( "* In this data set, 2 appears 3 times, which is more than any other value.<BR>\n" );
document.write( "* Mode: 2\r<BR>\n" );
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document.write( "**4. Sample Variance (s²):**\r<BR>\n" );
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document.write( "* Calculate the squared differences from the mean:<BR>\n" );
document.write( "    * (2 - 4)² = 4<BR>\n" );
document.write( "    * (3 - 4)² = 1<BR>\n" );
document.write( "    * (6 - 4)² = 4<BR>\n" );
document.write( "    * (6 - 4)² = 4<BR>\n" );
document.write( "    * (2 - 4)² = 4<BR>\n" );
document.write( "    * (7 - 4)² = 9<BR>\n" );
document.write( "    * (2 - 4)² = 4<BR>\n" );
document.write( "* Sum of squared differences: 4 + 1 + 4 + 4 + 4 + 9 + 4 = 30<BR>\n" );
document.write( "* Divide by (n - 1), where n is the number of values (7 - 1 = 6):<BR>\n" );
document.write( "* Sample variance: 30 / 6 = 5\r<BR>\n" );
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document.write( "**5. Sample Standard Deviation (s):**\r<BR>\n" );
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document.write( "* The sample standard deviation is the square root of the sample variance.<BR>\n" );
document.write( "* Sample standard deviation: √5 ≈ 2.236\r<BR>\n" );
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document.write( "**Summary:**\r<BR>\n" );
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document.write( "* Mean = 4<BR>\n" );
document.write( "* Median = 3<BR>\n" );
document.write( "* Mode = 2<BR>\n" );
document.write( "* Sample Variance = 5<BR>\n" );
document.write( "* Sample Standard Deviation ≈ 2.236<BR>\n" );
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