When the mean is is 3.57 and mode is 2.13 then find median?
Answers
2.13= 3median -2(3.57)
2.13= 3median - 7.14
2.13+7.14= 3median
Median = 9.27/3
Median = 3.09.
Answer: 3.09
Step-by-step explanation:
'Measure of central tendency' denotes that this representative value is one around which the data is centred. The mean, median, and mode are these central trends.
Given: Mean = 3.57 Mode = 2.13
The following formula describes the relationship between mean, median, and mode, or the three measures of central tendency for a moderately skewed distribution:
Median - Mean - Mode = 3
This relation between the three measures of central tendency is termed as an empirical relationship. When we know the other two measures for a given set of data, we utilise this to determine one of the measures. By switching the LHS and RHS, this connection is recast in several ways.
Hence putting the formula we get,
Mode = 3median - 2mean
2.13 = 3median -2(3.57)
2.13= 3median - 7.14
2.13+7.14= 3median
Median = 9.27/3
Answer : Median = 3.09
#SPJ2