Free Statistics 2 Tutorial
Form 4 Mathematics Statistics 2 Tutorial
Summary of the Lessons
Lesson 1
In form 2, 3 statistical measures were discussed these are median, mode and mean. However, median was emphasized because of the three, it is the most technical measure and most leaners do not easily master it fully. In this lesson, we shall remind ourselves about median and especially in grouped data.
Median
This is the middle value in a set of ungrouped data or the value that divides a set of data into 2 equal parts. Examples are given in all the lessons
Example: Determine the median in the following set of data:
- 5,10,6,5,8,7,3,2,7,8,9
- 2,3,5,5,6,7,7,8,8,9,10
Lesson 2
In this we are going to look at median for non-grouped data whose important entities are frequency above the median class ( C ) , the class size/class internal ( i) lower class limit of the median (L) and the frequency of the median class (f).
The lesson discusses the mean of grouped data that involves diving the total sum of product of frequency and mid-point by the total frequency
Lesson 3
The objective of lesson 3 is to enable the leaner to calculate mean of a set data using ASSUMED MEAN or working mean.
In form 2 you learnt how to find the name of a given set of values especially for non-grouped data e.g.
35,43,45,48,49,52,54,62,64
We add all the values and divide by the total number of elements(n). Like in the above values the sum of the values is 500/10=50
Lesson 4
This lesson helps the leaner to use an assumed mean to calculate the mean. The lesson starts by solving the example that was given in lesson 3.
Lesson 5
In this lesson, finding of quartiles is discussed, i.e. lower and upper quartiles for non-grouped data.
Lesson 6
By the end of this lesson a learner should be able to calculate the quartiles (lower and upper quartiles) for grouped data.
Lesson 7
Drawing of a cumulative frequency curve-ogive and use of the same to identify the median is demonstrated in lesson 7
Lesson 8
In this lesson drawing of an ogive and using of the same to find the lower quartile, median and upper quartile of a given data is taught
Lesson 9
Three measures of dispersion are discussed in this lesson, i.e.;
- Range
- Inter-quartile range
- Semi inter-quartile range (quartile deviation)
Lesson 10
By the end of this lesson a learner should be able to calculate the Mean Absolute Deviation of non-grouped data.
Lesson 11
Calculation of the mean deviation (variance) of non-grouped data using the mean absolute deviation concept is demonstrated in this lesson.
Lesson 12
In this lesson calculation of the variance and standard deviation for grouped data is demonstrated.
Lesson 13
More formulae for calculation of variance and standard deviation is demonstrated.
Lesson 1
In form 2, 3 statistical measures were discussed these are median, mode and mean. However, median was emphasized because of the three it is the most technical measure and most leaners do not easily master it fully. In this lesson, we shall remind ourselves about median and especially in grouped data.
Median
This is the middle value in a set of ungrouped data or the value that divides a set of data into 2 equal parts. Examples are given in all the lessons
Example: Determine the median in the following set of data:
- 5,10,6,5,8,7,3,2,7,8,9
- 2,3,5,5,6,7,7,8,8,9,10
Lesson 2
In this we are going to look at median for non-grouped data whose important entities are frequency above the median class ( C ), the class size/class internal ( i) lower class limit of the median (L) and the frequency of the median class (f).
The lesson discusses the mean of grouped data that involves diving the total sum of product of frequency and mid-point by the total frequency
Lesson 3
The objective of lesson 3 is to enable the learner to calculate mean of a set data using ASSUMED MEAN or working mean.
In form 2 you learned how to find the name of a given set of values especially for non-grouped data e.g.
35,43,45,48,49,52,54,62,64
We add all the values and divide by the total number of elements(n). Like in the above values the sum of the values is 500/10=50
Lesson 4
This lesson helps the learner to use an assumed mean to calculate the mean. The lesson starts by solving the example that was given in lesson 3.
Lesson 5
In this lesson, the finding of quartiles is discussed, i.e. lower and upper quartiles for non-grouped data.
Lesson 6
By the end of this lesson, a learner should be able to calculate the quartiles (lower and upper quartiles) for grouped data.
Lesson 7
Drawing of a cumulative frequency curve-ogive and use of the same to identify the median is demonstrated in lesson 7
Lesson 8
In this lesson drawing of an ogive and using of the same to find the lower quartile, median and upper quartile of a given data is taught
Lesson 9
Three measures of dispersion are discussed in this lesson, i.e.;
- RangeInter-quartile range
- Semi inter-quartile range (quartile deviation)
Lesson 10
By the end of this lesson, a learner should be able to calculate the Mean Absolute Deviation of non-grouped data.
Lesson 11
Calculation of the mean deviation (variance) of non-grouped data using the mean absolute deviation concept is demonstrated in this lesson.
Lesson 12
In this lesson calculation of the variance and standard deviation for grouped data is demonstrated.
Lesson 13
More formulae for calculation of variance and standard deviation are demonstrated.
You can get more free content by clicking the links below :
Video Tutorial Form 4 Mathematics Matrices and Transformation Lesson 3