document.write( "Question 1182259: Table 1 shows the scores made on an intelligence test by a group of children who participated in
\n" ); document.write( "the experiment.
\n" ); document.write( "(a) Construct a frequency distribution table (Hint: class width is 10).
\n" ); document.write( "(b) Find the mean and standard deviation for this grouped data.
\n" ); document.write( "114 115 113 112 113 132 130 128 122 121 126 117
\n" ); document.write( "115 88 113 90 89 106 104 126 127 115 116 109
\n" ); document.write( "108 122 123 149 140 121 137 120 138 111 100 116
\n" ); document.write( "101 110 137 119 115 83 109 117 118 110 108 134
\n" ); document.write( "118 114 142 120 119 143 133 85 117 147 102 117 \n" ); document.write( "

Algebra.Com's Answer #812252 by math_tutor2020(3817) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "I'll do part (a) to get you started.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Sort the data values from smallest to largest. I strongly recommend using spreadsheet software, though you can sort by hand if you want.
\n" ); document.write( "This is what the sorted list looks like (there are 12 rows and 5 columns to give 12*5 = 60 items total; the order is from left to right, top to bottom)
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "

83	85	88	89	90
100	101	102	104	106
108	108	109	109	110
110	111	112	113	113
113	114	114	115	115
115	115	116	116	117
117	117	117	118	118
119	119	120	120	121
121	122	122	123	126
126	127	128	130	132
133	134	137	137	138
140	142	143	147	149

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The smallest value in this list is 83. Let's say each class starts at a multiple of 10, meaning that the closest value is 80\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The range $\"80+%3C=+x+%3C+90\"$ represents a width of 10. We could also say $\"80+%3C=+x+%3C=+89\"$ where x is a whole number. I'll go with this second version.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Count how many values are between 80 and 89, inclusive of both endpoints. You should count out 4 values and they are: 83,85,88,89\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "That means 4 is the frequency for this first class.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The frequency for the class $\"90+%3C=+x+%3C=+99\"$ is 1 because there's only one value in this range (the value 90)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then for the class $\"100+%3C=+x+%3C=+109\"$ there are the values {100,101,102,104,106,108,108,109,109} which means the frequency for this class is 9.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Keep going with this process until you have this table
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "

Class	Frequency
80 to 89	4
90 to 99	1
100 to 109	9
110 to 119	23
120 to 129	11
130 to 139	7
140 to 149	5

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );