The marks obtained out of $50$ , by $102$ students in a Physics test are given in the frequency table below:
Marks ( $x$ ) $15$ $20$ $22$ $24$ $25$ $30$ $33$ $28$ $45$
Frequency ( $f$ ) $5$ $8$ $11$ $20$ $23$ $18$ $13$ $3$ $1$
Find the average mark.

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Solution

Answer:-

Marks (x) Frequency (f) fx
15 5 75
20 8 160
22 11 242
24 20 480
25 23 575
30 18 540
33 13 429
28 3 84
45 1 45
$Σ f = 5 + 8 + 11 + 20 + 23 + 18 + 13 + 3 + 1 = 102$ $Σ f x = 75 + 160 + 242 + 480 + 575 + 540 + 429 + 84 + 45 = 2630$
$A v e r a g e m a r k (¯ x) = \frac{Σ f x}{Σ f} = \frac{2630}{102} = 25.78$

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Q. The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below:
Marks (x) : 15 20 22 24 25 30 33 38 45
Frequency (f) : 5 8 11 20 23 18 13 3 1
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Q. The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below:

Marks (x):	15	20	22	24	25	30	33	38	45
Frequency (f):	5	8	11	20	23	18	13	3	1

Find the average number of marks.

The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below:
Marks (x) : 15 20 22 24 15 30 33 38 45
Frequency (f) : 5 8 11 20 23 18 13 3 1
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Q. The marks obtained by

36

students in a test in statistics (out of

50

) are as below.

3511535452331402113152047484234434533371113271812373938161318

5414743

Construct a frequency distribution table with equal class intervals, one of them being

10 - 20

(

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is not included)

Q. Given below are the marks obtained by

30

students in an examination:

$08$	$17$	$33$	$41$	$47$	$23$	$20$	$34$
$09$	$18$	$42$	$14$	$30$	$19$	$29$	$11$
$36$	$48$	$40$	$24$	$22$	$02$	$16$	$21$
$15$	$32$	$47$	$44$	$33$	$01$

Taking class intervals

1 - 10, 11 - 20 . . . . . . . . . . . . .41 - 50;

make a frequency table for the above distribution.

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Marks ( $x$ )	$15$	$20$	$22$	$24$	$25$	$30$	$33$	$28$	$45$
Frequency ( $f$ )	$5$	$8$	$11$	$20$	$23$	$18$	$13$	$3$	$1$

Marks (x)	Frequency (f)	fx
15	5	75
20	8	160
22	11	242
24	20	480
25	23	575
30	18	540
33	13	429
28	3	84
45	1	45
	$Σ f = 5 + 8 + 11 + 20 + 23 + 18 + 13 + 3 + 1 = 102$	$Σ f x = 75 + 160 + 242 + 480 + 575 + 540 + 429 + 84 + 45 = 2630$

The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below:Marks (x)152022242530332845Frequency (f)58112023181331Find the average mark.

Answer:-Marks (x) Frequency (f) fx 155 75 208 160 2211 242 2420 480 2523575 3018 540 3313 429 283 84 45145 Σf=5+8+11+20+23+18+13+3+1 =102 Σfx=75+160+242+480+575+540+429+84+45 =2630Average mark(¯x)=ΣfxΣf=2630102=25.78

The marks obtained out of $50$ , by $102$ students in a Physics test are given in the frequency table below:
Marks ( $x$ ) $15$ $20$ $22$ $24$ $25$ $30$ $33$ $28$ $45$
Frequency ( $f$ ) $5$ $8$ $11$ $20$ $23$ $18$ $13$ $3$ $1$
Find the average mark.