STATISTICS
In earlier classes you have studied measures of central tendency such as mean
Class Notes
Arithmetic Mean for Ungrouped Data . 2. Arithmetic Mean for Grouped Data. 1. Arithmetic Mean for Ungrouped Data (Individual series). Direct Method. Arithmetic
STATISTICS AND PROBABILITY
3 May 2018 (a) Mean of Grouped Data. (i) To find the mean of grouped data it is assumed that the frequency of each class interval is centred around its ...
Business Statistics Unit 4 Correlation and Regression.pdf
Let us assume that Average Salary is variable X and Expenditure on. Entertainment is variable Y. In case of grouped data we need to follow the assumed mean
MEASURES OF CENTRAL TENDENCY
This method of calculate of the mean of grouped data is Direct Method. We can also find the mean of grouped data by using Formula III i.e.
Kandaris Formula: a short and easy way to calculate mean of
13 Jul 2021 ... grouped data Direct method
BLOCK 2 MEASURES OF CENTRAL TENDENCY AND VARIABILITY
3.5.3 Computation of Mean by Shortcut Method (with Assumed mean). 3.5.4 The steps followed for computation of mean with grouped data are as follows:.
Measures of Central Tendency
For ungrouped and grouped data the methods for calculating mean are necessarily the midpoint of the assumed mean group (90 – 110). (iii) The sixth column ...
Unit 14 Measures of Central Tendency
Mean can be calculated both in ungrouped data as well as grouped data. 14.5.1 Calculation of Mean for Ungrouped Data. When only raw data is given Mean can
Lecture 2 – Grouped Data Calculation
Calculate the mean. Solution: X is the midpoint of the class. It is adding the class limits and divide by 2.
STATISTICS
(iii) Mean deviation for continuous frequency distribution (Grouped data). and A is the assumed mean. 15.1.2 Coefficient of variation It is sometimes ...
Chapter # 03 Measures of Central Tendency
Using formula of direct method of arithmetic mean for grouped data: and A is the provisional or assumed mean. Weight (grams) Frequency. 65----84.
9 Data Analysis - 9.1 Mean Median
https://www.cimt.org.uk/projects/mepres/allgcse/bkb9.pdf
Measures of Central Tendency
Data. 2. Arithmetic Mean for Grouped Data. Arithmetic Mean for Series of deviations of the said assumed mean ... the sum of the assumed mean and the.
Measures of Central Tendency
Data. 2. Arithmetic Mean for Grouped Data. Arithmetic Mean for Series of deviations of the said assumed mean ... the sum of the assumed mean and the.
Chapter # 04 Measures of Dispersion Moments
http://www.uop.edu.pk/ocontents/Chapter%204.pdf
Kandaris Formula: a short and easy way to calculate mean of
13 Jul 2021 multiplication easier than the Assumed mean method does. But
NCERT Exemplar Solutions For Class 10 Maths Chapter 13
While computing mean of grouped data we assume that the frequencies are. (A) Evenly distributed over all the classes. (B) Centred at the class marks of the
The Assumption(s) of Normality
that the data inside each of the samples are normal not just that the means of the samples are normal. This is a very strong assumption and it probably
Mean, Median and Mode
2.First Quantile, third Quantile
andInterquantile
Range.
Lecture 2 - Grouped Data
Calculation
Mean - Grouped Data
Number
of orderf10 - 12
13 - 15
16 - 18
19 - 214
12 20 14 n = 50Number
of orderfxfx10 - 12
13 - 15
16 - 18
19 - 214
12 20141114
17 2044168
340
280
n = 50= 832 fx832 x = = =16.64 n50 Example: The following table gives the frequency distribution of the nu mber of orders received each day during the past 50 days at the office of a m ail-order company. Calculate the mean.
Solution:
X is the midpoint of the
class. It is adding the class limits and divide by 2.Median and Interquartile Range -Grouped Data
Step 1:
Construct the cumulative frequency distribution.
Step 2:
Decide the class that contain the median.
Class Median
is the first class with the value of cumulative frequency equal at least n/2.Step 3:
Find the median by using the following formula:
Median
m m n-F2=L +if m L m fWhere:
n = the total frequency F = the cumulative frequency before class median i = the class width = the lower boundary of the class median= the frequency of the class medianTime to travel to workFrequency
1 - 10
11 - 20
21 - 30
31 - 40
41 - 508
14 12 9 7 Example: Based on the grouped data below, find the median:Solution:
Time to travel
to workFrequencyCumulativeFrequency
1 - 10
11 - 20
21 - 30
31 - 40
41 - 508
14 12 9 7822
34
43
50
25250
2n m f m L 1 st Step: Construct the cumulative frequency distribution class median is the 3 rd class So,
F = 22, = 12, = 20.5 and i = 10
Therefore,
2 25 222151012
24Median
m m n-F =L if Thus, 25 persons take less than 24 minutes to travel to work and another 25 persons take more than 24 minutes to travel to work. 1 1 1Q Q n-F4QL+ if 3 3 3Q Q3n-F4QL+ if
QuartilesUsing the same method of calculation as in the Median, we can get Q 1 and Q 3 equation as follows:Time to travel to workFrequency
1 - 10
11 - 20
21 - 30
31 - 40
41 - 508
14 12 9 7 Example: Based on the grouped data below, find the Interquartile RangeTime to travel
to workFrequencyCumulativeFrequency
1 - 10
11 - 20
21 - 30
31 - 40
41 - 508
14 12 9 7822
34
43
50
1 n50Class Q12 544. 1 1 1 4 125 8
105 1014
137143
Q Q n-F QL ifSolution:
1 st Step: Construct the cumulative frequency distributionClass Q
1 is the 2 nd classTherefore,2
ndStep: Determine the Q
1 and Q 3 33503nClass Q37 544.
3 3 3 4375 34
305109
343889
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