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.

fichoh

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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