### The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is 18. Find the missing frequency k.

 Daily Pocket allowance  (in rupees) 11 − 13 13 − 15 15 - 17 17 − 19 19 − 21 21 − 23 23 − 25 Number of Students 3 6 9 13 k 5 4

### The following frequency distribution shows the distance (in metres) thrown by 68 students in a Javelin throw competition.

 Distance 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60 60 − 70 Number of Students 4 5 13 20 14 8 4

### Draw a less than type Ogive for the given data and find the median distance thrown using this curve.

This is a question of CBSE Sample Paper - Class 10 - 2017/18.      1. Class 10
2. Solutions of Sample Papers for Class 10 Boards
3. CBSE Class 10 Sample Paper for 2018 Boards

Transcript

Question 30 The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is 18. Find the missing frequency k. Daily Pocket allowance (in rupees) 11 − 13 13 − 15 15 - 17 17 − 19 19 − 21 21 − 23 23 − 25 Number of Students 3 6 9 13 k 5 4 Daily pocket allowance (in Rs) Number of workers 11 – 13 3 13 – 15 6 15 – 17 9 17 – 19 13 19 – 21 k 21 – 23 5 23 – 25 4 Class mark (xi) 12 14 16 18 20 22 24 Fixi 36 84 144 234 20k 110 96 704+20k 18(40 + k) = 704 + 20k 18(40)+ 18(k) = 704 + 20k 720 + 18k = 704 + 20k 720 – 704 = 20k – 18k 16 = 2k k = 16/2 k = 8 Distance 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60 60 − 70 Number of Students 4 5 13 20 14 8 4 Distance (in m) Number of workers( fi ) Cumulative frequency 0 – 10 4 4 10 – 20 5 4 + 5 = 9 20 – 30 13 9 + 13 = 22 30 – 40 20 22 + 20 = 42 40 – 50 14 42 + 14 = 56 50 – 60 8 56 + 8 = 64 60 – 70 4 64 = 4 = 68 ∑▒𝑓𝑖 = 68 Distance (in m) Number of workers( fi ) Less than 10 4 Less than 20 9 Less than 30 22 Less than 40 42 Less than 50 56 Less than 60 64 Less than 70 68 ∑▒𝑓𝑖 = 68 So, N = 68 ∴ 𝑁/2 = 68/2 = 34 We draw a line parallel to x-axis where Number of students = 34 Where the line intersects the curve at x-axis, it is the median ∴ Median distance = 36 m

CBSE Class 10 Sample Paper for 2018 Boards

Class 10
Solutions of Sample Papers for Class 10 Boards 