NCERT Solutions Class 9th Maths Statistics Ex 14.4

Chapter 14 Ex 14.4

Question 1
The following number of goals was scored by a team in a series of 10 matches:
2, 3, 4, 5, 0, 1, 3, 3, 4, 3
Find the mean, median and mode of these scores.
Solution:
Mean:
Mean= (Sum of all 10 matches) /10
=(2+3+4+5+0+1+3+3+4+3)/10 =2.8
Median:
We need to arrange the goals in increasing order
0,1,2,3,3,3,3,4,4,5
Since the number of terms is 10 (even)

Mode:
We need to arrange the goals in increasing order
0,1,2,3,3,3,3,4,4,5
Since 3 occurs becomes maximum times. It is the mode

Question 2.
In a mathematics test given to 15 students, the following marks (out of 100) are recorded:
41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
Find the mean, median and mode of this data.
Solution :
Mean= (Sum of all 15 students) /15
=(41+39+48+52+46+62+54+40+96+52+98+40+42+52+60)/10 =54.8
Median:
We need to arrange the data in increasing order
39,40,40,41,42,46,48,52,52,52,54,60,62,96,98
Since the number of terms is 15(odd)
edian= (n+1)/2=8 term=52
Mode:
52 occurs maximum times.So mode is 52

Question 3.
The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x + 2, 72, 78, 84, 95
Solution:
The number of term is even
So,

2x+2=126
x=62


Question 4.
Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.
Solution:
14 occurs maximum time,so mode is 14

Question 5.
Find the mean salary of 60 workers of a factory from the following table

Solution

Mean = fx/f= 305000/60=5083.33

Summary

1. NCERT solutions for class 9 maths chapter 14 Ex 14.4 has been prepared by Expert with utmost care. If you find any mistake.Please do provide feedback on mail. You can download the solutions as PDF in the below Link also
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2. This chapter 14 has total 4 Exercise 14.1 ,14.2 ,14.3 and 14.4. This is the last exercise in the chapter.

• Notes
  • Statistics Class9 Notes
• Ncert Solutions
  • Statistics Class9 NCERT Solution Ex 14.1
  • Statistics Class9 NCERT Solution Ex 14.2
  • Statistics Class9 NCERT Solution Ex 14.3
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