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Byju's Answer

Standard X

Mathematics

Finding Mean for Grouped Data When Class Intervals Are Not Given

Joshua's mark...

Question

Joshua's mark obtained for each subject is given below. Find the average mark

90

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91

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94

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92

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Solution

The correct option is D $92$
Answer:- Using direct method

Marks obtained
$x_{i}$ No. of students
$f_{i}$ $f_{i} x_{i}$
90 3 270
92 1 92
95 2 190
86 4 344
96 5 480

$Σ f_{i} = 15$ $Σ f_{i} x_{i} = 1376$
Mean = $\frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{1376}{15} = 92$
D) 92

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Question 88

Study the pie chart given below depicting the marks scored by a student in an examination out of 54. Find the marks obtained by him in each subject. ?

Subjects	English	Hindi	Maths	Science	Social Science
Marks	67	76	88	85	78

(i) What is the total marks?
(ii) Find the average marks.
(iii) In which subject the student has scored highest marks?
(iv) In which subject the student has scored lowest marks?
(v) What is the range of the marks obtained?

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Marks obtained $x_{i}$	No. of students $f_{i}$	$f_{i} x_{i}$
90	3	270
92	1	92
95	2	190
86	4	344
96	5	480

	$Σ f_{i} = 15$	$Σ f_{i} x_{i} = 1376$

Joshua's mark obtained for each subject is given below. Find the average mark

The correct option is D 92Answer:- Using direct methodMarks obtained xiNo. of studentsfi fixi 903 270 921 92 952 190 86 4 34496 5480 Σfi=15Σfixi=1376 Mean = ΣfixiΣfi=137615=92D) 92

The correct option is D $92$
Answer:- Using direct method

Marks obtained
$x_{i}$ No. of students
$f_{i}$ $f_{i} x_{i}$
90 3 270
92 1 92
95 2 190
86 4 344
96 5 480

$Σ f_{i} = 15$ $Σ f_{i} x_{i} = 1376$
Mean = $\frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{1376}{15} = 92$
D) 92