Statistics www mathsrevision com Level 4 Mean Median

Statistics www. mathsrevision. com Level 4+ Mean, Median, Mode and Range of Data Set Mean, Median and Mode from a Frequency Tables Cumulative Frequency Tables and Median 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ 4 cm 8 cm 5 cm 2 cm 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Different Averages www. mathsrevision. com Level 4+ Learning Intention Success Criteria 1. We are learning the terms Mean Median, Mode and Range for a set of data. 1. Understand the differences between the terms Mean, Median, Mode and Range. 2. Calculate values for the Mean, Median, Mode and Range in a context. 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Different Averages www. mathsrevision. com Level 4+ An average should indicate a “measure of central tendency” but should also indicate what the distribution of data looks like. This is why we have 3 different types of averages to consider 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Different Averages www. mathsrevision. com Level 4+ Find the mean of the set of data 1, 1, 2, 3, 26 Can you see that this is not the most suitable of averages since five out of the six numbers are all below the mean of 5 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Range, Mode & Median www. mathsrevision. com Level 4+ Range : The difference between highest and Lowest values. It is a measure of spread. Median : The middle value of a set of data. When they are two middle values the median is half way between them. Mode : The value that occurs the most in a set of data. Can be more than one value. 15 -Sep-21 Created by Mr Lafferty Maths Dept

Different Averages Level 4+ www. mathsrevision. com Example : Find the median and mode for the set of data. 10, 2, 14, 1, 14, 7 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Mean Median Mode www. mathsrevision. com Level 4+ Now try TJ 4+ Ex 22. 1 Ch 22 (page 188) 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ 2 a 6 h 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Mean Median Mode www. mathsrevision. com Level 4+ Now try TJ 4+ Ex 22. 2 Ch 22 (page 188) 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Frequency Tables Range, Mode & Median www. mathsrevision. com Level 4+ Learning Intention 1. We are learning how to work out the range , mode & median from a frequency table. Success Criteria 1. Understand be able to work out the range, mode and median from a frequency table. 2. Solve problems using a frequency Table. 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Median. Mode Range = High – Low Middlevaluethat =5– 1 th and th Between occurs 10 the 11 most =4 =2 =1 Mean Median Mode & Range Frequency Tables www. mathsrevision. com Level 4+ Example : This table shows the number of light bulbs used in people’s living rooms No of Bulbs (c ) Freq. (f) x (B) 1 7 7 x 1=7 2 5 5 x 2 = 10 3 5 5 x 3 = 15 4 2 2 x 4=8 5 1 1 x 5=5 Totals 20 45 Adding a third column to this table will help us find the total number of bulbs and the ‘Mean’. 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Range = High – Low Median. Mode =5– 0 Middlevaluethat the 16 most th =5 Betweenoccurs 15 th and =1 =1 Mean Median Mode & Range Frequency Tables www. mathsrevision. com Level 4+ Example : Here are the results of a S 3 survey of the number of siblings In their family. Adding a third column to this table will help us find the total number of siblings and the ‘Mean’. No of Sibling s (S) Created by Mr. Lafferty Maths Dept. Sxf 0 9 1 13 1 x 13 = 13 2 6 2 x 6 = 12 3 1 3 x 1=3 5 1 5 x 1=5 Totals 15 -Sep-21 Freq. (f) 30 0 x 9 =0 33

Mean Median Mode From a Frequency Table www. mathsrevision. com Level 4+ Now try TJ 4+ Ex 22. 2 Ch 22 (page 191) 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Cumulative Frequency Tables Working Out The Median www. mathsrevision. com Level 4+ Learning Intention Success Criteria 1. We are learning how to calculate the median Frequency Table. 1. Be able to add a third cumulative column to a frequency table. 2. Be able to calculate the median from a Cumulative Frequency Table. 15 -Sep-21 Created by Mr. Lafferty Maths Dept.

Cumulative Frequency Tables Working Out The Median www. mathsrevision. com Level 4+ Example : This table shows the number of eggs laid by a clutch of chickens each day over a seven day period. A third column is added to keep a running total. This makes it easier to get the total number of items. You have 1 minute to come up with a question you can easily answer from the table. When was the Median egg collected. Collected on Day 5 15 -Sep-21 Created by Mr. Lafferty Maths Dept. Day Freq. (f) C. Freq. Total so far 1 2 2 2 3 5 3 1 6 4 6 12 5 5 17 6 8 25 7 4 29

Mean Median Mode www. mathsrevision. com Level 4+ Now try TJ 4+ Ex 22. 3 Ch 22 (page 193) 15 -Sep-21 Created by Mr. Lafferty Maths Dept.