1. BUSINESS MATHEMATICS
&
STATISTICS

2. LECTURE 25 Statistical Representation Measures of Central Tendency
Part 2

3. GRAPHING NUMERICAL DATA: THE HISTOGRAM
Data in ordered array
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
No Gaps Between Bars
Class Midpoints

4. MEASURES OF CENTRAL TENDENCY
Arithmetic Mean
Arithmetic Mean for Grouped Data
Weighted Mean
Median
Median for Grouped Data
Median for Discrete Data
Graphic Location of Median

5. MEASURES OF CENTRAL TENDENCY
Quantiles( Quartiles, Deciles, Percentiles)
Quantiles from Grouped Data
Quantiles from Discrete Data
Graphic Location of Quantiles
Mode
Mode from Grouped Data
Mode from Discrete Data
Empirical Relation Between mean, Median and Mode

6. AVERAGE & AVERAGEA AVERAGE(number1,number2, ...)
Number1, number2, ...   are 1 to 30 numeric arguments for which you want the average.
Calculates the average (arithmetic mean) of the values in the list of arguments. In addition to numbers, text and logical values such as TRUE and FALSE are included in the calculation.
AVERAGEA(value1,value2,...)

8. MEDIAN(number1,number2, ...)
Returns the median of the given numbers. The median is the number in the middle of a set of numbers; that is, half the numbers have values that are greater than the median, and half have values that are less.
Syntax
MEDIAN(number1,number2, ...)
Number1, number2,...   are 1 to 30 numbers for which you want the median.

9. =MEDIAN(A14:A19)

10. MODE MODE(number1,number2, ...)
Number1, number2, ...   are 1 to 30 arguments for which you want to calculate the mode. You can also use a single array or a reference to an array instead of arguments separated by commas.

12. COUNT FUNCTION
Counts the number of cells that contain numbers and numbers within the list of arguments. Use COUNT to get the number of entries in a number field in a range or array of numbers
Syntax
COUNT(value1,value2, ...)
Value1, value2, ...   are 1 to 30 arguments that can contain or refer to a variety of different types of data, but only numbers are counted

13. FREQUENCY
Calculates how often values occur within a range of values, and then returns a vertical array of numbers. For example, use FREQUENCY to count the number of test scores that fall within ranges of scores. Because FREQUENCY returns an array, it must be entered as an array formula.

14. FREQUENCY(data_array,bins_array)
Syntax
FREQUENCY(data_array,bins_array)
Data_array   is an array of or reference to a set of values for which you want to count frequencies. If data_array contains no values, FREQUENCY returns an array of zeros.
Bins_array   is an array of or reference to intervals into which you want to group the values in data_array. If bins_array contains no values, FREQUENCY returns the number of elements in data_array.

15. ARITHMETIC MEAN GROUPED DATA
Marks Frequency Class Marks fX
TOTAL
n=50; Sum(fX)=1950;Mean =1950/50= 39 Marks

17. BUSINESS MATHEMATICS
&
STATISTICS