Question

7. Find the number of observations between 250 and 300 from the following data :
Value
: More than 200 More than 250 More than 300 More than 350
No. of observations:
56
38
15
0
(a) 56
(b) 23
(c) 15
(d) 8​

Answer 1

Step-by-step explanation:

Find the number of observation between 250 and 300

from the following data:

More More More More

than 200 than 250 than 300 than 350

No. of 96 69 51 0

To find: Number of observation between 250 and 300

Solution:

To find Number of observation between 250 and 300

First make frequency distribution table from more than cumulative frequency distribution.

How to make frequency table from more than cumulative frequency:

Take the last Cumulative frequency as it is.

Subtract last CF from second last CF,resultant will be put in frequency of that class.

Subtract second CF from third last CF,resultant will be put in frequency of that class.and so on...

For that tabulate the given data

$$\begin{lgathered}\begin{tabular}{|c|c|c|c|}\cline{1-3}Class\:Interval& Number\:of\: students(CF)&\:frequency(f)\\\cline{1-3}200-250&96&27\\\cline{1-3}250-300&69&18\\\cline{1-3}300-350&51&51\\\cline{1-3}350-400&0&0\\\cline{1-3}Total& &96\\\cline{1-3}\end{tabular}\end{lgathered}$$

*Scroll screen to right to see the full table.

It is clear that,

No. of observation in between 250-300 are 18.