Data Handling
About 6 min · Mathematics · English
Time worked out from the lesson's 402 words at 150 words a minute, plus a minute for each question.
Data Handling is a foundational topic in AP TET Mathematics that tests your ability to organise, represent, and interpret numerical information. This topic connects mathematics to real-world applications—something primary teachers must convey effectively to young learners.
Key ideas
- Data is a collection of facts, numbers, or observations gathered for a specific purpose. Raw data is unorganised; organised data is arranged systematically.
- Frequency tells how many times a particular value or category appears in a data set. A frequency distribution table groups data with their frequencies.
- Pictographs use symbols or pictures to represent data, where each symbol stands for a fixed number of items. They are ideal for primary classes due to visual appeal.
- Bar graphs use rectangular bars of equal width but varying heights (or lengths) to represent data. The height of each bar corresponds to the frequency or value.
- Mean (arithmetic average) is the sum of all observations divided by the number of observations. It uses every data point and is sensitive to extreme values.
Watch out for
- Forgetting to arrange data before finding median → Always sort data in ascending or descending order first. The median is positional, not computational like mean.
- Confusing the pictograph scale → Students often count symbols without multiplying by the key value. Always check: "1 symbol = ? units" before answering.
- Assuming every data set has exactly one mode → Data can be bimodal (two modes), multimodal, or have no mode if all values appear equally. Don't force a single answer.
Quick reference
- Mean = Total sum ÷ Count (uses all values, affected by outliers)
- Median = Middle value after sorting (robust to outliers)
- Mode = Most frequent value (can be none, one, or many)
- Pictograph key tells how many units each symbol represents—always multiply
- Bar graph bars must have equal width; only height varies
Check yourself: 3 questions
1. A pictograph shows the number of books read by five students in a month. Each book symbol represents 4 books. If Ravi's row has 3 book symbols, how many books did Ravi read?
2. The marks obtained by 7 students in a test are: 15, 18, 12, 15, 20, 15, 19. What is the mode of these marks?
3. A bar graph shows the favorite fruits of 40 students. Apple: 12 students, Banana: 8 students, Mango: 15 students, Orange: 5 students. How many more students like Mango than Banana?
This lesson is cut from the topic's note, not rewritten. Fact-checked on 18 Oct 2026: an AI-assisted check of this note against cited sources; the errors it found were corrected that day. Some errors may remain. The questions are from Shishya's validated question bank.
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