Question

Find the mean ,mode ,meadian ,and range of the following group (a) 57 ,75, 50,34,45,60,45,44 solved​

Answer 1

Answer:

first ascending order :34,44,45,45,50,57,60,75

MEAN :

mean = sumof all observations/ no.of observations

here total observations = 8

sum of all observations = 34+44+45+45+50+57+60+75 = 410

so mean = 410/8

therefore mean = 51.25

MODE :

more occurring observations

in the observations 34,44,45,45,50,57,60,75

mode is 45 because it occurs two times than others

therefore mode is 45

MEDIAN :

middle of observations

total observations: 8 ( even)(n)

so we use the formula (n/2)th and (n/2 +1) th observations divided by 2

observations = 34,44,45,45,50,57,60,75

so median = n/2 and n/2 +1 divided by 2 (here n= 8 total observations)

= (8/2)th and (8/2 +1) th observations/2

= 4 th and 4+1 th observations /2

= 4th and 5 observations /2

here 4th observation is 45 and 5th observation is 50

so = 45+50/2

= 95/2

= 47.5

therefore median is 47.5

RANGE :

range = highest value - lowest value

in observations 34,44,45,45,50,57,60,75

here highest value = 75

lowest value = 34

so range = 75 - 34

= 41

therefore range = 41

Mean = 51.25

Mode = 45

Median = 47.5

Range = 41

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