(06.05) Families were surveyed to see how they spent summer vacation. The results are as follows: One or more children below age
16—Camping: 30; Traveling out of state: 16; Activities in local area: 44 All children 16 or older—Camping: 22; Traveling out of state: 60; Activities in local area: 28 Which of the following is a correct two-way relative frequency table for the data? Summer vacation Camping Traveling out of state Activities in local area Row totals At least one child under 16 0.15 0.08 0.22 0.45 All children 16 or older 0.11 0.30 0.14 0.55 Column totals 0.26 0.38 0.36 1 Summer vacation Camping Traveling out of state Activities in local area Row totals At least one child under 16 30 16 44 90 All children 16 or older 22 60 28 110 Column totals 52 76 72 200 Summer vacation Camping Traveling out of state Activities in local area Row totals At least one child under 16 0.58 0.21 0.61 0.45 All children 16 or older 0.42 0.79 0.39 0.55 Column totals 1 1 1 1 Summer vacation Camping Traveling out of state Activities in local area Row totals At least one child under 16 0.33 0.18 0.49 1 All children 16 or older 0.20 0.55 0.25 1 Column totals 0.26 0.38 0.36
<span>Families were surveyed to see how they spent summer vacation. The results are as follows: Camping Traveling out of state Activities in local area 1 or more children < 16 30 16 44 All children 16 or older 22 60 28
I'll just make my own two-way relative frequency table. A two-way relative frequency table is called such because each value is computed based on the total of the number of the whole table. I'll just use codes to make the table fit in this screen.
A B C TOTAL 1 </span>30 16 <span>44 90</span><span> 2 </span>22 60 <span>28 110 </span><span> TOTAL 52 76 72 200
Two-way relative frequency table:
</span><span> A B C TOTAL 1 </span>30/200=0.15 16/200=0.08 44/200=0.22 90/200=0.45<span> 2 </span>22/200=0.11 60/200=0.30 28/200=0.14 110/200=0.55 <span> TOTAL 52/200=0.26 76/200=0.38 72/200=0.36 200/200=1.00 </span><span> Among the given choices, my answer would be the 1st choice.
</span><span>Summer vacation Camping Traveling out of state Activities in local area Row totals At least one child under 16 0.15 0.08 0.22 0.45 All children 16 or older 0.11 0.30 0.14 0.55 Column totals 0.26 0.38 0.36 1 </span>
