SAT-53: Interpreting Tables, Graphs, and Bar Charts

SAT-53: Interpreting Tables, Graphs, and Bar Charts

Description: A large part of the SAT is just reading data correctly from a table or chart and doing a small calculation. No hard algebra — the points are lost mostly to careless reading. This lesson trains you to read carefully and answer exactly what is asked.

Always read the labels first

Before touching the numbers, check three things:

• The title — what is this data about?
• The axis labels and units — dollars? thousands? percent?
• The scale — does each gridline mean 1, 5, 10, or 100?

(Oʻzbekcha: avval sarlavha, oʻq nomlari va birliklarni, hamda shkalani tekshiring — keyin sonlarga qarang.)

Reading a table

Find the correct row and column and read where they meet. For totals, add a full row or column. Watch for a "Total" row/column that already does this for you.

Worked Example 1 — table lookup and total

A table lists books sold: Mon 12, Tue 8, Wed 15, Thu 10. How many over the four days, and what was the daily average?

• Total = 12 + 8 + 15 + 10 = 45 books.
• Average = 45 ÷ 4 = 11.25 books per day.

Reading a bar chart

The height (or length) of each bar is its value. Compare bars by comparing heights; find "how many more" by subtracting two heights. (Oʻzbekcha: ustun balandligi — uning qiymati; farqni topish uchun ikki balandlikni ayiramiz.)

Worked Example 2 — bar chart comparison

A bar chart shows revenue: Store A = $30k, Store B = $45k, Store C = $25k. How much more did B make than C, and what percent of the three-store total is that difference? B − C = 45 − 25 = $20k more.

Reading a line graph (trends)

A line that goes up means the quantity is increasing; down means decreasing; flat means no change. The steepness shows how fast it changes.

Worked Example 3 — line graph trend

A temperature line reads 10°, 14°, 14°, 9° at 1pm, 2pm, 3pm, 4pm. When did it rise the fastest, and when did it fall?

• 1→2pm: +4° (the only rise, and the steepest segment) — fastest rise here.
• 2→3pm: flat (no change). 3→4pm: −5° — that is the fall.

Common mistake: confusing a steep line with a "high" value. Steepness = rate of change; height = the actual value. (Oʻzbekcha: chiziqning tikligi — oʻzgarish tezligi, balandligi esa — qiymatning oʻzi.)

A few reading traps to avoid

Charts are designed to be misread under time pressure. Three traps show up again and again:

• Broken scales: a y-axis that starts at 50 instead of 0 makes small differences look huge. Always check where the axis begins before judging "how much bigger."
• Units in the title: if a chart is "sales (in thousands)," a bar at 30 means 30,000, not 30.
• Part vs whole: "what percent of the total" needs you to divide by the full total, not by a neighbouring bar.

Reading the question twice and the labels once will catch nearly all of these. (Oʻzbekcha: shoshqaloqlikda eng koʻp xato shkalaning 0 dan boshlanmasligida va sarlavhadagi birliklarda boʻladi.)

Practice 1

From the books table above, what percent of the 45 books were sold on Wednesday?

Practice 2

In the revenue chart, Store A wants to match Store B. By what percent must A increase?

Key words — Kalit soʻzlar

• Table — jadval
• Bar chart — ustunli diagramma
• Line graph — chiziqli grafik
• Axis — oʻq
• Scale — shkala (miqyos)
• Label — yorliq (nom)
• Row / Column — qator / ustun
• Trend — yoʻnalish (tendensiya)
• Total / Average — jami / oʻrtacha

Summary

• Read the title, units, and scale before the numbers.
• Table: find the row × column; add a row/column for totals.
• Bar height = value; line direction = trend, line steepness = rate of change.
• Answer exactly what is asked (value vs. difference vs. percent).