MathsFreePrintable

Data Analysis & Scale Drawing

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Data Analysis & Scale Drawing

A history museum is planning a new exhibit. Analyse visitor data, describe relationships, and use scale to plan the exhibit space. Show calculations and include units. For the scatter plot, plot each data pair from the table, then sketch a line of best fit.

Visitor data

The museum recorded the number of school groups visiting and the number of activity booklets handed out on six days.

Day

School groups

Booklets handed out

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Draw a scatter plot here. Label the horizontal axis “School groups” and mark it from 0 to 8 in steps of 1. Label the vertical axis “Booklets handed out” and mark it from 0 to 90 in steps of 10. Plot each data pair from the table and sketch a line of best fit.

1.Describe the overall association between the number of school groups and the number of booklets handed out. Is it positive, negative or no association?

2.Use your plotted points to identify the day that is furthest from the general upward pattern. Give its pair of values and explain briefly.

3.Which statement best describes a suitable line of best fit for these data?

It must pass through every point.
It should follow the general upward trend, with points reasonably balanced above and below it.
It should join the points in day order with a zigzag line.
It must be horizontal.

4.A trend line for the data is approximately y = 9x + 16, where x is school groups and y is booklets. Estimate the number of booklets for 8 school groups. Show your substitution.

5.Amira says, “More school groups cause every student to take a booklet.” Is this conclusion justified by the data? Explain one limitation of the data.

Scale drawing: exhibit floor plan

The museum has a rectangular exhibit room measuring 12 m by 8 m. Use the stated scale of 1 cm : 2 m and the room dimensions given here to answer the questions; no floor plan is needed.

6.Using the stated scale of 1 cm : 2 m and the room dimensions given above, calculate the plan length of the 12 m room in centimetres.

7.The room is 8 m wide. How wide should it appear on the plan, in centimetres?

8.A display case is 3 m long. How long should it be drawn on this plan?

9.The museum wants to place a 2.5 m-long bench along the 8 m wall. On the plan, what fraction of that wall’s drawn length will the bench use?

10.A second room measures 15 m by 10 m. Grace wants to draw it at the same scale. State its plan dimensions and explain why the drawing can still represent the real room accurately.