Respuesta :
Answer: There are 95 students who scored between 35 and 61.
Step-by-step explanation:
Since we have given that
The following data : 11,35,61,70,79.
So, the median of this data would be = 61
First two data belongs to "First Quartile " i.e. Q₁
and the second quartile is the median i.e. 61.
The last two quartile belongs to "Third Quartile" i.e. Q₃
And we know that each quartile is the 25th percentile.
And we need "Number of students who scored between 35 and 61."
So, between 35 and 61 is 25% of total number of students.
So, Number of students who scored between 35 and 61 is given by
[tex]\dfrac{25}{100}\times 380\\\\=\dfrac{1}{4}\times 380\\\\=95[/tex]
Hence, There are 95 students who scored between 35 and 61.
The number of students who scored between 35 and 61 is 95
The 5 number summary is the value of the ;
- Minimum
- Lower quartile
- Median
- Upper quartile and
- Maximum values of a distribution.
The total Number of students = 380
The lower quartile (Lower 25%) = 35
The median (50%) = 61
- The Number of students who scored between 35 and 61 :
- 50% - 25% = 25%
This means that 25% of the total students scored between 35 and 61.
- 25% of 380 = 0.25 × 380 = 95
Hence, 95 students scored between 35 and 61.
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