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- Different tables are possible
[latex]\begin{array}{|l|l|}
\hline \text { Score } & \text { Frequency } \\
\hline 30 & 1 \\
\hline 40 & 0 \\
\hline 50 & 4 \\
\hline 60 & 3 \\
\hline 70 & 6 \\
\hline 80 & 5 \\
\hline 90 & 2 \\
\hline 100 & 3 \\
\hline
\end{array}[/latex] - This is technically a bar graph, not a histogram:
- Different tables are possible
- [latex]5+3+4+2+12 = 15[/latex]
[latex]5/15 = 0.3333 = 33.33\%[/latex] - Bar is at [latex]25\%[/latex]. [latex]25\%[/latex] of [latex]20[/latex] = [latex]5[/latex] students earned an A
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- [latex](7.25+8.25+9.00+8.00+7.25+7.50+8.00+7.00)/8 = $7.781[/latex]
- In order, [latex]7.50 [/latex] and [latex]8.00[/latex] are in middle positions. Median = [latex]$7.75[/latex]
- [latex]0.25*8 = 2 Q1[/latex] is average of = [latex]2[/latex]nd and [latex]3[/latex]rd data values: [latex]$7.375 0.75*8 = 6[/latex]; [latex]Q3[/latex] is the average of [latex]6[/latex]th and [latex]7[/latex]th data values: [latex]$8.125[/latex]; 5 number summary: [latex]$7.00, $7.375, $7.75, $8.125, $9.00[/latex]
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- ([latex]5[/latex] x [latex]0[/latex] + [latex]3[/latex] x [latex]1[/latex] + [latex]4[/latex] x [latex]2[/latex] + [latex]2[/latex] x [latex]3[/latex] + [latex]1[/latex] x [latex]5[/latex])/[latex]15[/latex] = [latex]1.4667[/latex]
- Median is [latex]8[/latex]th data value: [latex]1[/latex] child
- [latex]0.25x15 = 3.75[/latex]. Q1 is 4th data value: [latex]0[/latex] children [latex]0.75*15 = 11.25[/latex]; Q3 is 12th data value: [latex]2[/latex]; 5-number summary: [latex]0,0 1,2,5[/latex]
- Kendra makes [latex]$90,000[/latex]. Kelsey makes [latex]$40,000[/latex]. Kendra makes [latex]$50,000[/latex] more.
Answers for questions 13-24 can be found in this Google Sheet: Data Organization: Get Stronger Solutions to Questions 13-24 .