Data Handling • Topic 7 of 8

Reading Data

Reading data is the literal first level of interpretation: looking at a table, tally chart, pictograph or bar graph and accurately pulling out the information it holds. Before a child can compare, analyse or conclude anything, they must read what is in front of them, the title for context, the labels and headings for what the rows, columns or bars mean, and crucially the key or scale for the unit. Each representation has its own reading routine. From a table you read the title, the column headings and the row labels, then find the cell where a chosen row and column meet to get a value. From a tally chart you recognise each complete gate as five, count the gates, multiply by five and add the leftover strokes, so two gates and three strokes are (2 x 5) + 3 = 13. From a pictograph you read the key, count full symbols, multiply by the key, then add any half symbol; if a key says one apple = 4 children and a row shows four apples and a half, that is (4 x 4) + 2 = 18. From a bar graph you read the scale, then trace from the top of the bar across to the value axis and read the number. The errors CTET likes to catch are predictable: ignoring the key and assuming one picture means one item, miscounting tally gates, reading the wrong axis, or overlooking a partial symbol. The teaching message is that reading is a prerequisite, master direct reading before any comparison or inference, and a routine like “I see, I think, I wonder” keeps the literal reading (I see) clearly ahead of interpretation (I think).

✅ Solved examples

1. A tally chart shows two complete gates and four single strokes for “Bus”. How many children come by bus?
(2 x 5) + 4 = 10 + 4 = 14 children. Count the gates in fives, then add the leftover single strokes.
2. A pictograph has the key “1 apple = 4 children”. The Mango row shows 4 full apples and 1 half apple. How many children like mango?
Full: 4 x 4 = 16. Half: half of 4 = 2. Total = 16 + 2 = 18 children.
3. Before reading any value from a pictograph or bar graph, which part must you check first to avoid a wrong answer?
The key (in a pictograph) or the scale (on a bar graph). It tells you what one symbol or one unit of length represents; skipping it is the most common reading error.
4. To find a single value in a table, such as how many children like banana, you locate the:
The cell where the “banana” row meets the “number” column. Reading a table is about finding the right row-and-column intersection.

✏️ Practice — try these, take hints as needed

1. A tally chart shows three complete gates and two strokes. The frequency is:
Gates count in fives.
(3 x 5) + 2.
17
2. With the key “1 book = 5 children”, a row of 3 full books represents:
Multiply symbols by the key.
3 x 5.
15 children
3. Reading the wrong axis, miscounting gates, or ignoring the key are all errors made while:
The literal first step.
Comes before comparing.
Reading data
4. On a bar graph, to find a bar’s value you trace from the top of the bar across to the:
The side axis with numbers.
It carries the scale.
Value (vertical) axis

📝 Topic test — 8 questions

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