Question

Find the mean, median, mode and range of the following groups:
a.4, 6, 7, 6, 3, 6, 4, 2, 8, 6, 6, 2, 6
b.57, 75, 40, 34, 45, 60, 45, 44, 45
c.32,40, 29, 54, 35, 26, 23, 33, 38

Answer 1

Answer:

as shown below

Step-by-step explanation:

a.4, 6, 7, 6, 3, 6, 4, 2, 8, 6, 6, 2, 6

• mean = $\frac{4+6+7+6+3+6+4+2+8+6+6+2+6}{13}$ = 5.O8

• median write the data in ascending or descending order

 2, 2, 3, 4, 4, 6, 6, 6, 6, 6, 6, 7, 8 number of elements n is an odd number

[ $\frac{n}{2} +1$ ] th element = 6 is the median

• mode = the highest appeared  = 6
• range = highest element - small element = 8-2= 6      

b.57, 75, 40, 34, 45, 60, 45, 44, 45

• mean = $\frac{57+ 75+ 40+ 34+ 45+60+ 45+ 44+ 45}{9}$ =49.44
• median= 34, 40, 44, 45, 45, 45, 57, 60, 75 number of elements is 9

$[\frac{n}{2} +1]$ th element = 45

• highest appeared number 45

• range = highest element - small element  = 75-34= 41

   c .32,40, 29, 54, 35, 26, 23, 33, 38

• mean = $\frac{32+ 40+29+ 54+ 35+ 26+ 23+ 33+ 38}{9}$ = 34.44
• median = 23, 26, 29, 32, 33, 35, 38, 40, 54 number of elements is 9 $[\frac{n}{2} +1]$ th element = 33
• mode = highest appeared number  = in this case no mode

• range = highest element - small element = 54 - 23= 31