section 2.3 Flashcards
particular values ( observations )
of a variable x can be denoted by subscripts x1, x2,etc
when do we use the greek capital letter sigma Σ ?
with a a variable next to it show which one is being summed
Σ x
stands for the sum of the values of the variable x `
the round off rule
round all calculations to one more decimal place than is present in the data . round only , the final answer , not the steps along the way
measures of center ( or measures of central tendency )
are descriptive measures that indicate where the center or most typical value of a data set lies
mean
is sum of all values of the observations divided by the number of observations . the means is also called the average
the sample mean x̄
is represented by the symbol , which is called ‘x-bar’ =Σx/N , where N is the number of values in the population
median
is the value that divides the booth 50% of the data from the top 50% . Its the middle value when the values are placed in size order
mode
is the value that has the most number of observations (frequency ) but must occur more than once .
mean of frequency table formula
the formula Σ x^f/f where x^f is the product of f each class midpoint x^ , times the class frequency f
weight mean
another special case of finding average is when we know the values but they are not all equally weighted
x̄ =Σxw/ Σw
xw
is the product of each data value x multiplied y its weighted w