Estimate an unmeasured midpoint value on a line graph · 8 practice problems

The line graph shows the garden temperature recorded in a town. Estimate the value at about 11 a.m., in $^\circ\mathrm{C}$.

The graph is titled "Garden Temperature." The horizontal axis shows the time (6, 8, 10, 12, 2), and the vertical axis shows the value in $^\circ\mathrm{C}$. The vertical axis is labeled 5, 10, 15; since 5 grid squares represent 5, each grid square represents $5 \div 5 = 1\,^\circ\mathrm{C}$. The recorded values are: 6 $4\,^\circ\mathrm{C}$, 8 $7\,^\circ\mathrm{C}$, 10 $10\,^\circ\mathrm{C}$, 12 $16\,^\circ\mathrm{C}$, 2 $14\,^\circ\mathrm{C}$. The value at 11 a.m. was not recorded, so estimate it as the midpoint of the values at 10 a.m. and 12 noon.

The line graph shows the road temperature recorded in a town. Estimate the value at about 12 noon, in $^\circ\mathrm{C}$.

The graph is titled "Road Temperature." The horizontal axis shows the time (7, 9, 11, 1, 3), and the vertical axis shows the value in $^\circ\mathrm{C}$. The vertical axis is labeled 5, 10, 15; since 5 grid squares represent 5, each grid square represents $5 \div 5 = 1\,^\circ\mathrm{C}$. The recorded values are: 7 $3\,^\circ\mathrm{C}$, 9 $6\,^\circ\mathrm{C}$, 11 $9\,^\circ\mathrm{C}$, 1 $17\,^\circ\mathrm{C}$, 3 $14\,^\circ\mathrm{C}$. The value at 12 noon was not recorded, so estimate it as the midpoint of the values at 11 a.m. and 1 p.m..

The line graph shows the plant height recorded in a town. Estimate the value at about week 3.5, in $\text{cm}$.

The graph is titled "Plant Height." The horizontal axis shows the week (1, 2, 3, 4, 5), and the vertical axis shows the value in $\text{cm}$. The vertical axis is labeled 5, 10, 15; since 5 grid squares represent 5, each grid square represents $5 \div 5 = 1\,\text{cm}$. The recorded values are: 1 $4\,\text{cm}$, 2 $8\,\text{cm}$, 3 $12\,\text{cm}$, 4 $20\,\text{cm}$, 5 $18\,\text{cm}$. The value at week 3.5 was not recorded, so estimate it as the midpoint of the values at week 3 and week 4.

The line graph shows the snow depth recorded in a town. Estimate the value at about day 3.5, in $\text{cm}$.

The graph is titled "Snow Depth." The horizontal axis shows the day (1, 2, 3, 4, 5), and the vertical axis shows the value in $\text{cm}$. The vertical axis is labeled 5, 10, 15; since 5 grid squares represent 5, each grid square represents $5 \div 5 = 1\,\text{cm}$. The recorded values are: 1 $6\,\text{cm}$, 2 $10\,\text{cm}$, 3 $14\,\text{cm}$, 4 $22\,\text{cm}$, 5 $18\,\text{cm}$. The value at day 3.5 was not recorded, so estimate it as the midpoint of the values at day 3 and day 4.

The line graph shows the library visitors recorded in a town. Estimate the value at about hour 3.5, in $\text{people}$.

The graph is titled "Library Visitors." The horizontal axis shows the hour (1, 2, 3, 4, 5), and the vertical axis shows the value in $\text{people}$. The vertical axis is labeled 10, 20, 30; since 5 grid squares represent 10, each grid square represents $10 \div 5 = 2\,\text{people}$. The recorded values are: 1 $10\,\text{people}$, 2 $16\,\text{people}$, 3 $20\,\text{people}$, 4 $30\,\text{people}$, 5 $24\,\text{people}$. The value at hour 3.5 was not recorded, so estimate it as the midpoint of the values at hour 3 and hour 4.

The line graph shows the town temperature recorded in a town. Estimate the value at about 1:00 p.m., in $^\circ\mathrm{C}$.

The graph is titled "Town Temperature." The horizontal axis shows the time (8, 10, 12, 2, 4), and the vertical axis shows the value in $^\circ\mathrm{C}$. The vertical axis is labeled 5, 10, 15; since 5 grid squares represent 5, each grid square represents $5 \div 5 = 1\,^\circ\mathrm{C}$. The recorded values are: 8 $6\,^\circ\mathrm{C}$, 10 $8\,^\circ\mathrm{C}$, 12 $11\,^\circ\mathrm{C}$, 2 $15\,^\circ\mathrm{C}$, 4 $12\,^\circ\mathrm{C}$. The value at 1:00 p.m. was not recorded, so estimate it as the midpoint of the values at 12 noon and 2 p.m..

The line graph shows the pool temperature recorded in a town. Estimate the value at about 11:30 a.m., in $^\circ\mathrm{C}$.

The graph is titled "Pool Temperature." The horizontal axis shows the time (9, 10, 11, 12, 1), and the vertical axis shows the value in $^\circ\mathrm{C}$. The vertical axis is labeled 15, 20, 25; since 5 grid squares represent 5, each grid square represents $5 \div 5 = 1\,^\circ\mathrm{C}$. The recorded values are: 9 $18\,^\circ\mathrm{C}$, 10 $20\,^\circ\mathrm{C}$, 11 $22\,^\circ\mathrm{C}$, 12 $26\,^\circ\mathrm{C}$, 1 $28\,^\circ\mathrm{C}$. The value at 11:30 a.m. was not recorded, so estimate it as the midpoint of the values at 11 a.m. and 12 noon.

The line graph shows the cafe customers recorded in a town. Estimate the value at about 10:30 a.m., in $\text{people}$.

The graph is titled "Cafe Customers." The horizontal axis shows the hour (8, 9, 10, 11, 12), and the vertical axis shows the value in $\text{people}$. The vertical axis is labeled 10, 20, 30; since 5 grid squares represent 10, each grid square represents $10 \div 5 = 2\,\text{people}$. The recorded values are: 8 $12\,\text{people}$, 9 $18\,\text{people}$, 10 $24\,\text{people}$, 11 $36\,\text{people}$, 12 $30\,\text{people}$. The value at 10:30 a.m. was not recorded, so estimate it as the midpoint of the values at 10 a.m. and 11 a.m..