Question

What is the value of mean and median for the following
Marks:
5-14 15-24 25-34
No. of Students: 10
18.
32
(a) 30 and 28
(b) 29 and 30 (0) 33.68 and​

Answer 1

Answer:

32.94

Step-by-step explanation:

Median is the middle most value of a given series that represents the whole class of the series. For a group data, 

Median = L +  [{(n/2) – B}/G] × w where 

L is the lower class boundary of the group containing the median

n is the total number of values

B is the cumulative frequency of the groups before the median group

G is the frequency of the median group

w is the group width

Since the median is the middle value, which in this case is the 55th one, which is in the 24.5 −34.5 group. Therefore , 24.5 −34.5 is the median group so 

L = 24.5

n = 110

B = 10 +18 = 28

G = 32

w = 10

Median= 24.5  + [{(110/2) – 28}/32] × 10

 = 24.5 + 8.44

 = 32.94