Find the mean , median and range of the following data
32,16,25,40,46,29,18,22
Answers
solution:
mean = sum of observations / no.of observations
mean = 32+16+25+40+46+29+18+22 / 8
mean = 288/8
mean = 36........ ( we got the mean)
median :
the numbers are 32,16,25,40,46,29,18,22
let's arrange in ascending order
16,18,22,25,29,32,40,46
here n= 8
so , we know formula for even number the formula is
1/2{ n/2 + n/2 +1}
1/2{8/2+8/2+1}
1/2{4 term + 5 term }
1/2{25+29}
1/2 {54 }
54/2=27
so 27 is our median and 36 is our mean
HOPE IT HELPS TO YOU ☺️☺️
Answer:
1) Mean = Sum of observation
No of observation
= 32+16+25+40+46+29+18+22
8
=228 = 28.5
8
2) Median = Arranging data in ascending order
= 16,18,22,25,29,32,40,46
There are 8 total number, so the 4th and 5th number are used to figure out the median
median = 1 × ( n) th term + ( n + 1) th term
2 2 2
= 1 × ( 4 th term + 5th term)
2
= 1 × ( 25+29)
2
= 54 = 27
2
3) Range = highest term - lowest term
= 46 - 16
= 30