In a moderately a symmetrical distribution. The mode and median are 75 and 60 respectively, find mean.
In a moderately a symmetrical distribution. The mode and median are 75 and 60 respectively, find mean.
The correct option is C 52.5
Mean refers to the average amount in a given group of data. In
this measure of central tendency, all the data are added up and then divided by
the number of figures in the data in order to ascertain the mean.
Median is the middle most value of a series.
Mode is the highest occurring figure in a series. It is the value
in a series of observation that repeats maximum number of times and which
represents the whole series as most of the values in the series revolves around
this value.
The relationship between mean, median and mode is described
as
Mode = 3 Median - 2 Mean
=> mean = ( 3 median - mode)/2
Given: median = 60 and mode = 75
Mean = { 3(60) - 75}/2
= (180-75)/2
= 105 /2 = 52.5
Mean refers to the average amount in a given group of data. In
this measure of central tendency, all the data are added up and then divided by
the number of figures in the data in order to ascertain the mean.
Median is the middle most value of a series.
Mode is the highest occurring figure in a series. It is the value in a series of observation that repeats maximum number of times and which represents the whole series as most of the values in the series revolves around this value.
The relationship between mean, median and mode is described as
Mode = 3 Median - 2 Mean
=> mean = ( 3 median - mode)/2
Given: median = 60 and mode = 75
Mean = { 3(60) - 75}/2
= (180-75)/2
= 105 /2 = 52.5
