MathsFreePrintable

Statistics Data Analysis Worksheet

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.

Statistics Data Analysis Worksheet worksheet preview
Name:Date:

Statistics Data Analysis Worksheet

Analyse the hardware-store data, show your working, and use the spaces provided for your displays.

Reading and Analysing Data

At a hardware store, Ngaio measured the lengths in millimetres of 20 small fasteners from a display tray. The measurements were: 12, 13, 14, 14, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 20, 20, 21, 22, 38.

1.Which measurement is an outlier? Explain why it stands apart from the rest of the fastener lengths.
2.Which description best fits the shape of the length distribution?
  • Approximately symmetrical
  • Positively skewed, with a tail towards larger values
  • Negatively skewed, with a tail towards smaller values
  • Evenly spread, with no tail
3.Find the range of the fastener lengths. Show how you worked it out.
4.Calculate the mean length of the 20 fasteners. Give your answer to the nearest millimetre.

Organising and Displaying Data

Use the fastener measurements given above for each task.

5.Complete the frequency table for the fastener lengths using the intervals in the table below.

Length interval (mm)

Frequency

10–14

15–19

20–24

25–29

30–34

35–39

6.Make a dot plot of all 20 fastener lengths. Label the horizontal axis in millimetres and include every measurement.
1216202428323638
7.Draw a column graph showing the frequency in each interval: 10–14, 15–19, 20–24, 25–29, 30–34 and 35–39 mm. Label both axes and give the graph a title.

Interpreting the Results

Refer to the fastener measurements listed in the first section.

8.Describe the main cluster of fastener lengths. Give the approximate range of values in that cluster.
9.Are there any gaps in the measurements? Identify the stretch of whole-number lengths with no recorded fasteners.
10.Write a short summary of this data. Include its centre, spread, overall shape and any unusual feature.

3 printable pages

  • Statistics Data Analysis Worksheet, page 1 of 3: Reading and Analysing Data

    Page 1

  • Statistics Data Analysis Worksheet, page 2 of 3: Organising and Displaying Data

    Page 2

  • Statistics Data Analysis Worksheet, page 3 of 3: Interpreting the Results

    Page 3

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds