Calculate the mode of the following data.
Size of shoe $4$ $5$ $6$ $7$ $8$ $9$ $10$
No. of pairs sold $15$ $17$ $13$ $21$ $18$ $16$ $11$

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Solution

From the given data, frequency of size $7$ shoe $= 21$
Number of pairs of $7$ size shoe are sold more
Therefore, mode of the given data $= 7$ size shoe pair
modal size $= 7$

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Similar questions

Q. Calculate the mode of the following sizes of shoes sold out by a shopkeeper: 6, 7, 6, 5, 10, 11, 10, 12, 6, 13, 13, 5, 11, 11, 10, 9, 8, 11, 8, 9, 11, 13.
A) 11
B) 10
C) 12
D) 13

Q. Calculate the mode of the following data.

Size of item	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$
No. of items	$4$	$8$	$18$	$30$	$20$	$10$	$5$	$2$

Q. Calculate the mode using tally marks for the following sizes of shoes sold out by a shopkeeper: 6, 7, 6, 5, 9, 11, 10, 7, 6, 9, 11, 9, 11, 11, 10, 9, 8, 11, 8, 9, 11, 9.

Shoe Size	Tally Marks	Frequency
5
6
7
8
9
10
11

Q. Find the mode of:

$x$	$15$	$16$	$17$	$18$	$19$	$20$	$21$	$22$	$23$
$f$	$6$	$7$	$9$	$13$	$10$	$12$	$8$	$0$	$4$

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

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Size of shoe	$4$	$5$	$6$	$7$	$8$	$9$	$10$
No. of pairs sold	$15$	$17$	$13$	$21$	$18$	$16$	$11$

Calculate the mode of the following data.Size of shoe45678910No. of pairs sold15171321181611

From the given data, frequency of size 7 shoe=21Number of pairs of 7 size shoe are sold moreTherefore, mode of the given data =7 size shoe pairmodal size =7

Calculate the mode of the following data.
Size of shoe $4$ $5$ $6$ $7$ $8$ $9$ $10$
No. of pairs sold $15$ $17$ $13$ $21$ $18$ $16$ $11$

From the given data, frequency of size $7$ shoe $= 21$
Number of pairs of $7$ size shoe are sold more
Therefore, mode of the given data $= 7$ size shoe pair
modal size $= 7$