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Lesson 10 of 13

Connecting the Dots... · Lesson 10 of 13

All it Takes is a Minute

“Read sports and real-world graphs while separating quantities, changes, ratios, and evidence limits.”

Learning Objectives

• Read runs-per-over bars and wicket symbols. • Distinguish per-category values from totals. • Compare animal speeds using differences and ratios. • Interpret annual registrations without confusing them with increases. • Evaluate claims from a selected-city infographic.

All it Takes is a Minute

A sports graph can tell a match’s story much faster than a long commentary, but only if we understand its symbols. We will read runs-per-over bars, then apply the same careful approach to animal speeds and electric-vehicle registrations. In each case, identify the quantity first and test conclusions second.

Runs shown in each overRuns shown in each overBlue teamRed team: 18 shown overs051015201234567891011121314151617181920Runs in the over; circles indicate wickets for blue
Runs shown in each over— Read the axis unit and legend before comparing bars. The numerical axis uses equally spaced intervals.
Reading the last overs

The source shows blue-team bars through over 20 and red-team bars through over 18. In this recreation, no red bar is drawn for overs 19 and 20. Their absence does not establish two zero-run overs or why the red series ends. Do not add invented values or infer a match result without the completion context.

A bar gives the runs in one over, not the accumulated total by that over. A circle above a bar indicates a wicket in that over. It is a separate kind of information: the circle is not an extra run, and its height should not be read as the top of the bar. Gridlines five runs apart help us read intermediate whole values.

Example — Reading one over

Problem
How many runs did the blue team make in over 12?

  1. 1.Find category 12 on the horizontal axis.
  2. 2.Follow its blue bar to the numerical axis. It ends at 15.
  3. 3.The blue team made 15 runs in that over; this is not the total after twelve overs.
Example — The smallest red bar

Problem
Which shown over has the fewest red-team runs?

  1. 1.Compare the heights of the red bars actually shown.
  2. 2.Over 4 has the shortest red bar, at 2 runs.
  3. 3.Missing terminal bars must not be treated as evidence of zero-run overs.
Example — What can we infer about the target?

Problem
Can the target be read directly from the tallest bar?

  1. 1.No. The tallest bar gives only one over’s runs.
  2. 2.To calculate an innings total from a complete display, add the runs for all its overs. The displayed blue-over values total 159.
  3. 3.A target and winner also require knowing who batted first and whether the innings shown are complete. The colour legend alone does not supply that information.

Reading an animal-speed infographic

The source compares maximum speeds in air, on land, and in water. Although animals and explanatory pictures make it look different from a plain classroom graph, its bar lengths still represent numerical speeds. Read the legend, speed labels, and shared unit before comparing them.

AnimalEnvironment in sourceMaximum speed (km/h)
Peregrine falconAir322
Spine-tailed swiftAir170
Free-tailed batAir96
Green darner dragonflyAir64
Flying fishAir56
CheetahLand103
Pronghorn antelopeLand88
OstrichLand64
HumanLand37
Australian tiger beetleLand8
SailfishWater109
DolphinWater40
California sea lionWater40
Gentoo penguinWater35
Humpback whaleWater26
Maximum speeds listed in the sourceMaximum speeds listed in the sourceSpeed (km/h)04080120160200240280320Peregrine falconSpine-tailed swiftFree-tailed batGreen darner dragonflyFlying fishCheetahPronghorn antelopeOstrichHumanAustralian tiger beetleSailfishDolphinCalifornia sea lionGentoo penguinHumpback whaleMaximum speed in kilometres per hour
Maximum speeds listed in the source— Read the axis unit and legend before comparing bars. The numerical axis uses equally spaced intervals.

The original infographic groups creatures by movement environment and uses numerical steps of about 16 km/h. Its falcon value refers to a diving speed. These are maximum-speed comparisons, not equal-duration races under identical conditions. Preserve those descriptions when interpreting the ratios.

Example — A ratio rather than a difference

Problem
Is the sailfish about four times as fast as the humpback whale in the listed values?

  1. 1.Read the speeds: sailfish 109 km/h and humpback whale 26 km/h.
  2. 2.For “times as fast”, divide: 109 ÷ 26 ≈ 4.19.
  3. 3.So about four times is a reasonable comparison of the listed speeds. The difference, 109 − 26 = 83 km/h, answers another question.

The sailfish has the highest listed aquatic speed, but a display of a few animals does not establish that it is fastest among every aquatic species. The source also notes a beetle moving many body lengths per second. That compares speed with body size; it does not make the beetle the fastest in kilometres per hour.

Electric-vehicle registrations

The next graph compares states over 2022, 2023, and 2024. Here each bar counts registrations during that year. It is not a graph of the increase from the previous year. A small difference between two tall bars can still mean many registrations in both years.

Exact supplied values and approximate readings

Gujarat and Delhi values are supplied numerically in the source. The other five states’ values below are approximate readings from its bars, rounded for the graph-reading activity.

State202220232024Precision
Uttarakhand150001600019000Approximate graph reading
West Bengal100002100043000Approximate graph reading
Andhra Pradesh290003400055000Approximate graph reading
Odisha270004400063000Approximate graph reading
Assam400006000065000Approximate graph reading
Gujarat690008900078000Supplied, rounded to thousands
Delhi620007400081000Supplied, rounded to thousands
Annual electric-vehicle registrationsAnnual electric-vehicle registrations2022202320240250005000075000100000UttarakhandWest BengalAndhra PradeshOdishaAssamGujaratDelhiNumber of registrations in the year
Annual electric-vehicle registrations— Read the axis unit and legend before comparing bars. The numerical axis uses equally spaced intervals.

Gujarat rises from 69,000 to 89,000, then falls to 78,000. Delhi rises from 62,000 to 74,000 to 81,000. Among the approximate readings, Assam increases by about 20,000 between 2022 and 2023. West Bengal’s 2024 count is roughly four times its 2022 count; it is not merely four more registrations.

Common mistake

Do not confuse the annual number with its year-to-year increase. Also, a quantity such as number of buildings does not reveal another quantity such as the height of the tallest building.

Standing tall in the storm

The source infographic ranks selected cities by their counts of buildings taller than 150 metres. Several bar-end numbers are omitted so readers can estimate them from neighbouring labelled bars. Keep the comparison restricted to the displayed cities.

Selected cities: buildings taller than 150 mSelected cities: buildings taller than 150 mCount; some values estimated0100200300400500600Hong KongShenzhenNew YorkDubaiGuangzhouShanghaiTokyoKuala LumpurChongqingJakartaBangkokSingaporeMumbaiSeoulTorontoMelbourneMiamiIstanbulMoscowLondonBuilding count; New York, Tokyo, and London are approximate
Selected cities: buildings taller than 150 m— Read the axis unit and legend before comparing bars. The numerical axis uses equally spaced intervals.

New York is about 315–320, Tokyo about 165, and London about 30 in the source bar lengths. Twelve displayed cities have more than Mumbai’s 86 and seven displayed cities have fewer. The chart is a selected list, so “only twelve cities in the world” would go beyond it. Building counts also cannot identify the world’s tallest individual building.

Quiz

Quick check

A runs-per-over bar describes:

Quick check

The source cricket graph shows blue runs in over 12 as:

Quick check

What operation answers “How many times as fast”?

Quick check

Annual registrations rise from 69,000 to 89,000. The increase is:

Quick check

A city has the largest skyscraper count in a selected chart. What follows?

Quick check

A missing final bar establishes which conclusion?

Practice Problems

Practice Problems
  1. What does a circle above a cricket bar mean, and why should its top not be read as runs?
  2. Identify a pair of animals with a listed speed ratio close to two.
  3. Can the animal infographic prove the sailfish is fastest among every aquatic animal?
  4. Place the Gujarat and Delhi 2022–2024 bars using the supplied numerical values.
  5. Is “There were very few registrations in Uttarakhand in 2023 and 2024 because the bars barely grew” justified?
  6. Estimate New York, Tokyo, and London skyscraper counts, and explain two limits of the chart.

It indicates a wicket during the over. Runs are represented by the bar height, while the circle communicates a different event.

Key Takeaways

Key Takeaways

• Different symbols can communicate different quantities in one graph. • One over’s runs differ from an innings total. • Distinguish numerical difference from multiplicative ratio. • Annual quantity and year-to-year change are different. • Keep approximate readings labelled as estimates. • A selected chart cannot establish claims about every unlisted case.