Question

what is the mean and median for the following data Marks: 5-14,15-24,25-34,35-44,45-54,55-64
No. of students: 10,18,32,26,14,10​

Answer 1

Answer:

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STATISTICS

Asked on December 26, 2019 by

Ambika Rudhrapati

What is the value of median for the following data:

Marks No. of Students

5−14 10

15−24 18

25−34 32

35−44 26

45−54 14

55−64 10

A

28

B

30

C

32.94

D

33.18

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ANSWER

Marks

No. of Students

4.5 −14.5

10

14.5 −24.5

18

24.5 −34.5

32

34.5 −44.5

26

44.5−54.5

14

54.5−64.5

10

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

Answer 2

Answer:

Mean is 18.32 whereas the median is 18

Step-by-step explanation:

(10+18+32+26+14+10)/6 = 18.32

Median means is the value in the middle such that all values are equally on the left and right side of the median value. 10 is taken only once.