The line plot shows the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the pre
vious week. Select from the drop-down menus to complete each statement. The range . The mean . Two line plots one above the other, both are labeled from zero to twelve by ones. The top line plot is labeled Boys with four Xs over five and one X over zero, two, three, four, ten, and twelve. The bottom line plot is labeled Girls with three Xs above eight, two Xs above three and four, and one X above two, six and seven.
Boys: <span>four Xs over five and one X over zero, two, three, four, ten, and twelve. 5, 5, 5, 5, 0, 2, 3, 4, 10, 12 </span>→ 0, 2, 3, 4, 5, 5, 5, 5, 10, 12<span> mean: 5.1 range: 12
</span><span>Girls: three Xs above eight, two Xs above three and four, and one X above two, six and seven. 8, 8, 8, 3, 3, 4, 4, 2, 6, 7 </span>→ 2, 3, 3, 4, 4, 6, 7, 8, 8, 8 <span>mean: 5.3 range: 6
The boys have the higher range while the girls have the higher mean value.
1) Rewrite it in the form {a}^{2}-2ab+{b}^{2}, where a={d}^{2} and b=4 {({d}^{2})}^{2}-2({d}^{2})(4)+{4}^{2}
2) Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2} {({d}^{2}-4)}^{2}
3) Rewrite {d}^{2}-4 in the form {a}^{2}-{b}^{2} , where a=d and b=2 {({d}^{2}-{2}^{2})}^{2} 4) Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b) {((d+2)(d-2))}^{2}
5) Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a} {(d+2)}^{2}{(d-2)}^{2}