Question

Please explain part C. I get how you get the median by it being even you go to position n/2 & n/2+1 and take the average of those positions but how do you 2+2/2 when putting it increasing order ? I would think it would be 22+27/2.

10. A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows: Children 0 1 2 3 45 Number of Women 27 22 30 12 7 2 a. Find the sample mean number of children. b. Find the sample standard deviation of the number of children. c. Find the sample median of the number of children.

Answer 1

c) there are 100 total data

	f	cumulative f
0	27	27
1	22	49
2	30	79
3	12	91
4	7	98
5	2	100

since 100 is even

median will be average of 50th and 51 th

both 50th and 51th data is 2

hence

median = (2 +2 )/2

= 2

{why do you think it will be 22+27/2. , 22 and 27 are frequency , how can this be median }