☰ Contents · Mathematics

Powers and working with data

Lessons 19–20 · 2 lessons · B.Q. Khaydarov. Mathematics Grade 5, Parts 1–2. Revised and expanded third edition. Tashkent, 2020
20

Working with data

Textbook: Part 1, lesson 20, pp. 78–85
GoalRead and make tables and diagrams; show survey results in bar and line charts.
New words
table · jadvalbar chart · ustunli diagrammaline chart · chiziqli diagrammasurvey · so‘rov
Explanation

A table presents data in an orderly, visual way. In a survey we mark a tally stroke for each answer and then write the number of strokes in the table. If we show data as columns whose heights equal the values, we get a bar chart. Names go on the horizontal axis; amounts go on the vertical axis with a chosen unit of scale. The columns have the same width and equal gaps. Using segments instead of columns gives a line chart; in a strip diagram the strips lie horizontally. From a diagram we can find the greatest and smallest values, differences and how many times larger one value is.

Worked examples
Books read: Aziz 6, Malika 9, Sardor 4, Dilnoza 9. In total 6 + 9 + 4 + 9 = 28. Malika and Dilnoza read the most.
Table: notebooks 1 200 so‘m × 10 = 12 000; pens 2 000 × 4 = 8 000; rulers 3 000 × 2 = 6 000. Total paid: 12 000 + 8 000 + 6 000 = 26 000 so‘m.
Class activity

“Class survey”: pupils ask “Which sport do you like?”, fill a tally table and draw a bar chart in their notebooks.

Practice
1
In the example above, how many books did the four children read in total?
2
How many more books did Malika read than Sardor (9 and 4)?
3
In a chart one square stands for 2 books. A column is 7 squares high. How many books?
4
Why must the columns of a bar chart have the same width?