Question

stem (hundred thousands) | leaf (ten thousands)
0 | 667778999
1 | 03447778889999
2 | 0011234445667889
3 | 00011223
the stem-and-leaf plot above shows house sale prices over the last week in tacoma. what was the most expensive house sold? give your answer in dollars
$

Explanation:

Step1: Identify the largest stem

The stem represents hundred thousands. The largest stem is 3 (since stems are 0, 1, 2, 3 and 3 is the biggest).

Step2: Identify the largest leaf for stem 3

The leaf for stem 3 (representing ten thousands) is 00011223. The largest digit in the leaf is 3.

Step3: Combine stem and leaf to get the price

The stem is 3 (hundred thousands place, so 300000) and the leaf is 3 (ten thousands place? Wait, no: stem is hundred thousands, leaf is ten thousands? Wait, actually, stem (hundred thousands) and leaf (ten thousands, thousands, etc.? Wait, no, let's parse the stem - leaf plot correctly.

Wait, the stem is labeled as "hundred thousands" and leaf as "ten thousands"? Wait, no, maybe the stem is the hundreds of thousands digit, and the leaf is the ten - thousands digit? Wait, no, actually, in a stem - leaf plot, the stem is the leading digit(s) and the leaf is the trailing digit(s). So if stem is hundred thousands (so the digit in the hundred - thousands place) and leaf is the ten - thousands place? Wait, no, let's think about place values.

Wait, the stem is 3 (hundred thousands place: 3×100000 = 300000), and the leaf is the digits in the ten - thousands, thousands, hundreds, tens, ones? Wait, no, the leaf is labeled as "ten thousands", but that might be a mislabel. Wait, actually, in a stem - leaf plot, each leaf is a digit. So for stem 3, the leaves are 0,0,0,1,1,2,2,3. Wait, no, the leaf is a single digit? Wait, no, maybe the leaf is the ten - thousands digit? Wait, no, let's re - examine.

Wait, the stem is the hundred - thousands place. So the number is formed as: stem×100000+leaf×10000? Wait, no, that can't be. Wait, maybe the stem is the digit in the hundred - thousands place, and the leaf is the digit in the ten - thousands place, and the rest of the digits (thousands, hundreds, tens, ones) are zero? No, that doesn't make sense. Wait, no, actually, the stem - leaf plot for house prices: let's assume that the stem is the hundred - thousands digit, and the leaf is the ten - thousands digit, and the thousands, hundreds, tens, and ones digits are zero? No, that's not right. Wait, maybe the stem is the number of hundred - thousands, and the leaf is the number of ten - thousands, and the rest (thousands, etc.) are zero? No, that can't be. Wait, no, let's look at the largest number.

Wait, the stem is 3 (hundred thousands: 3×100000 = 300000), and the leaf is the digits. Wait, the leaf for stem 3 is "00011223". Wait, no, maybe each leaf is a single digit. Wait, the leaf is a single digit, so for stem 3, the leaves are 0,0,0,1,1,2,2,3. Wait, no, the leaf is written as "00011223", which is 8 digits. Wait, maybe the stem is the hundred - thousands digit, and the leaf is the ten - thousands, thousands, hundreds, tens, and ones digits? No, that would be too many digits. Wait, no, maybe the stem is the number of hundred - thousands, and the leaf is the number of ten - thousands, and the thousands, hundreds, tens, and ones are zero. But that would make the numbers like stem×100000 + leaf×10000. But then for stem 3 and leaf 3, the number would be 3×100000+3×10000 = 330000? Wait, no, let's check the stem - leaf plot again.

Wait, the stem is labeled "Stem (hundred thousands)" and leaf "Leaf (ten thousands)". So stem is the digit in the hundred - thousands place (100000s place), and leaf is the digit in the ten - thousands place (10000s place). Wait, but then what about the thousands, hundreds, tens, and ones places? Are they zero? That seems odd. Wait, no, maybe the stem - leaf plot is representing the number as stem×100000+leaf×10000 + 0×1000+0×100+0×10+0×1? No, that can't be. Wait, maybe the leaf is a single digit, and the stem is the hundred - thousands digit, and the number is stem×100000+leaf×10000+0×1000+0×100+0×10+0×1? No, that's not right. Wait, I think I made a mistake. Let's re - interpret the stem - leaf plot.

Actually, in a stem - leaf plot, the stem is the leading digit(s) and the leaf is the trailing digit(s). So if the stem is 3 (hundred thousands place: 3×100000 = 300000) and the leaf is the digits that come after. Wait, the leaf for stem 3 is "00011223". Wait, maybe each leaf is a single digit, so the leaves for stem 3 are 0,0,0,1,1,2,2,3. But we need the largest number, so we take the largest stem (3) and the largest leaf digit for that stem. The largest leaf digit for stem 3 is 3. Wait, no, that can't be. Wait, maybe the stem is the number of hundred - thousands, and the leaf is the number of ten - thousands, and the thousands, hundreds, tens, and ones are all zero? No, that would make the number 3 (hundred thousands) + 3 (ten thousands)=330000? But that seems low for a house price. Wait, no, maybe the stem is the hundred - thousands digit, and the leaf is the ten - thousands, thousands, hundreds, tens, and ones digits. Wait, no, the leaf is labeled as "ten thousands", but that's probably a mislabel. Let's think differently.

Wait, the stem is the digit in the hundred - thousands place (so 0,1,2,3 represent 000000,100000,200000,300000 in hundred - thousands place). The leaf is the digits in the ten - thousands, thousands, hundreds, tens, and ones places? No, that would be too many digits. Wait, no, maybe the leaf is a single digit, representing the ten - thousands place, and the thousands, hundreds, tens, and ones places are zero. But then the number would be stem×100000+leaf×10000.

Wait, let's check the stem 3. The leaves for stem 3 are 0,0,0,1,1,2,2,3. So the numbers for stem 3 would be:

3×100000+0×10000 = 300000

3×100000+0×10000 = 300000

3×100000+0×10000 = 300000

3×100000+1×10000 = 310000

3×100000+1×10000 = 310000

3×100000+2×10000 = 320000

3×100000+2×10000 = 320000

3×100000+3×10000 = 330000

Ah! So the largest number in the stem - leaf plot is when stem is 3 (300000) and leaf is 3 (30000), so 300000 + 30000=330000? Wait, no, wait, if the leaf is ten - thousands place, then 3 (hundred thousands) is 300000, and 3 (ten thousands) is 30000, so total is 330000? But that seems low. Wait, maybe the stem is the hundred - thousands digit, and the leaf is the thousands digit? No, the label says leaf is ten thousands. Wait, maybe the problem has a typo, and the leaf is the thousands, hundreds, tens, and ones? No, let's re - read the problem.

The stem - and - leaf plot shows house sale prices. The stem is hundred thousands, leaf is ten thousands. So to get the price, we have: stem×100000+leaf×10000. Wait, but then for stem 3 and leaf 3, it's 3×100000 + 3×10000=330000. But let's check the other stems. For stem 2, the largest leaf is 9 (from the leaf "0011234445667889"), so 2×100000+9×10000 = 290000, which is less than 330000. For stem 1, largest leaf is 9 (from "02447778889999"), 1×100000+9×10000 = 190000. For stem 0, largest leaf is 9 (from "667778999"), 0×100000+9×10000 = 90000. So the largest number is 3×100000+3×10000 = 330000? Wait, no, wait the leaf for stem 3 is "00011223", which are 8 digits. Wait, maybe each leaf is a single digit, and the stem is the hundred - thousands digit, and the number is stem×100000+leaf×10000+0×1000+0×100+0×10+0×1? No, that can't be. Wait, maybe the leaf is a two - digit number? No, the leaf is written as single digits. Wait, I think I misinterpreted the leaf. Maybe the leaf is the ten - thousands, thousands, hundreds, tens, and ones digits. Wait, no, the label says "Leaf (ten thousands)".

Wait, another approach: the stem is the hundred - thousands place, and the leaf is the ten - thousands place, and the thousands, hundreds, tens, and ones places are all zero. So the number is (stem×10 + leaf)×10000? Wait, no, stem is hundred thousands, so stem is the digit in the 100000s place. So stem = 3 means 3×100000, leaf = 3 means 3×10000, so total is 3×100000+3×10000 = 330000.

Yes, that makes sense. So the largest stem is 3, and the largest leaf in stem 3 is 3. So the most expensive house sold is 3×100000+3×10000 = 330000.

Answer:

330000