One measurement, or many
Two kinds of question
How tall the classroom door is takes one measurement, and anybody measuring again gets the same answer.
📚 Chapter Learning Kit
Connecting the Dots · Class 7 Mathematics · Ganita Prakash
English 3 topics 105 leveled MCQs 51 flashcards 5 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
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It expects variety in its answers
A statistical question
A question answered only by collecting many values and looking at them together is a statistical question.
Far is not a measurement
A vague question answers nothing
Asking whether pupils travel far to school settles nothing, because far has no definite meaning.
Easier to use than a whole list
One number for many
Five pupils read 4, 7, 7, 9 and 13 books, and somebody asks how much the class read.
Total divided by how many
The mean
Four and 7 and 7 and 9 and 13 make 40, and 40 divided by 5 is 8.
The middle value, once in order
The median
In order the values read 4, 7, 7, 9, 13, and the middle of five is the third.
📖 Smart notes
What you'll study, topic by topic
1
Which questions need data, and how to collect it
A statistical question is one whose answers vary, so it needs data rather than a single measurement. A vague question must be sharpened first. Decide who to ask, taking a fair sample if not everybody, record answers as t…
- A question with one fixed answer needs no data at all.
- A statistical question is one whose answers vary.
- A vague question cannot be settled, since far is not a measurement.
~35 min · full explanation, examples & memory tricks in the app
2
Mean, median and mode, and when each misleads
The mean is the total over the count, the median is the middle of the ordered values, and the mode is the commonest value. A set may have no mode. An outlier pulls the mean badly while the median barely notices, so the m…
- The mean is the total divided by how many values there are.
- For 4, 7, 7, 9 and 13 the mean is 8 and the median and mode are 7.
- The median is the middle of the ORDERED values.
~40 min · full explanation, examples & memory tricks in the app
3
Showing data, and reading a chart critically
A bar chart compares amounts, with equal widths, equal gaps and a scale in equal steps. A pie chart shows shares of a whole, each slice being its fraction of 360 degrees, and the slices must total 360. An axis starting a…
- A table is exact but shows nothing at a glance.
- In a bar chart the height of each bar matches its count.
- Every bar must share one width, and the gaps must be equal.
~40 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
105 questions laddered from warm-up to topper-level, each with an explanation. A taste:
A question is asked whose answer is the same whoever is asked and however often, so one measurement settles it. Such a question has answers that
Beginner
A vary a great deal
B are all wrong
C do not vary
D cannot be collected
Show answer & explanation
do not vary
Like the height of a door.
A question can only be answered by collecting many values and looking at them together. Such a question is called
Beginner
A geometric
B arithmetical
C vague
D statistical
Show answer & explanation
statistical
It expects variety in its answers.
The test for a statistical question is whether the answers
Intermediate
A vary from one answer to the next
B are whole numbers in every case
C can all be measured out in metres
D come from a whole class of pupils
Show answer & explanation
vary from one answer to the next
Identical answers mean it is not one.
A teacher asks how tall the pupils in one class are, and the answers differ from pupil to pupil. That question is
Beginner
A settled by one measurement
B a statistical question
C too vague to answer
D not a question about data
Show answer & explanation
a statistical question
They differ from one another.
🃏 Flashcards
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🎮 Learning games
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Memory Match
Categorization
Fact Or Myth
Sequence Builder
Word Match
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