National 5 Applications of Maths: Statistics Examples and IQR
In this educational material, you will find examples of constructing Five Figure Summaries, calculating Inter-Quartile Ranges (IQR), and Semi-Interquartile Ranges (SIQR). The content provides detailed instructions and visual aids to help you understand and apply these statistical concepts effectively. Explore various datasets and learn how to interpret and analyze the data using box plots and measure the spread and central tendency of the data.
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National 5 Applications of Maths Statistics Five Figure Summary IQR and SIQR Box Plots Exam Style Questions
National 5 Applications of Maths Statistics Five Figure Summary These contain the following information. The numbers MUST be written in order from smallest to largest. L Lowest value Q1 Q2 Q3 H Lower Quartile Median Upper Quartile Highest Number
National 5 Applications of Maths Statistics Five Figure Summary Example 1: Construct a Five Figure Summary of the following information. 13 12 9 14 12 18 20 L Lowest value Q1 Q2 Q3 H Lower Quartile Median Upper Quartile Highest Number
National 5 Applications of Maths Statistics Five Figure Summary Example 2: Construct a Five Figure Summary of the following information. 36 28 31 26 33 29 38 25 30 31
National 5 Applications of Maths Statistics Five Figure Summary Example 3: Construct a Five Figure Summary of the following information. 40 42 46 48 48 49 51 53 56
National 5 Applications of Maths Statistics IQR and SIQR (Semi) Interquartile Range: It is a measure of the spread of results, in the middle two quartiles of a set of data. Formula ??? = ?3 ?1 ?3 ?1 2 ???? = *Remember that the set of results must be in order.
National 5 Applications of Maths Statistics IQR and SIQR Example 1: State the median and Inter-Quartile Range of the following set of data. 4.5 2.6 1.9 3.3 4.8 4.9 5.4 5.6 4.8 4.3
National 5 Applications of Maths Statistics IQR and SIQR Example 2: State the median and SIQR of the following set of data. 23 25 21 26 25 27 29 30 32
National 5 Applications of Maths Statistics IQR and SIQR Example 3 a) State the median and SIQR of the following scores from Mr Miller s class. 88 90 90 92 94 96 98 99 b) Miss McDonald s class had a median of 97 and an SIQR of 6. Make two valid comparisons of the two classes results.
National 5 Applications of Maths Statistics Box Plot Example 1: State the five-figure summary and construct a box plot to represent the following data. 14 18 18 19 20 22 26 28 30 12 14 16 18 20 22 24 26 28 30 32
National 5 Applications of Maths Statistics Box Plot Example 2: State the five-figure summary and construct a box plot to represent the following data. 88 65 41 55 91 40 62 70 82 86 79 12 14 16 18 20 22 24 26 28 30 32
National 5 Applications of Maths Statistics Exam Questions Example 1: From the following Stem and Leaf Diagram, draw a Box Plot to represent the information. 15 20 25 30 35 40 45 50 55 60
National 5 Applications of Maths Statistics Exam Questions Example 2: The following data is from the amount of pupils in classes in a maths department on a Monday afternoon 24 30 21 24 25 33 18 25 29 a) b) Draw a Box Plot of this information. State the SIQR of the data. 16 18 20 22 24 26 28 30 32 34
National 5 Applications of Maths Statistics Exam Questions Example 2: The following data is from the amount of pupils in classes in a maths department on a Monday afternoon 24 30 21 24 25 33 18 25 29 c) On a Thursday morning the median class side is 23 and the SQR is 2.5. Make two valid comparisons about Monday afternoons and Thursday mornings. 16 18 20 22 24 26 28 30 32 34
