Calculate the range from the following data.
Marks $26$ $38$ $54$ $65$ $72$ $88$
No. of students $5$ $10$ $15$ $20$ $25$ $30$

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Solution

We observe that, highest score $H = 88$ and lowest score $L = 26$ .
Therefore, range $= H - L = 88 - 26 = 62$ marks

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Marks	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$
No. of students	$5$	$12$	$23$	$8$	$2$

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
No. of student	$4$	$6$	$10$	$20$	$10$

Marks	$0 - 10$	$10 - 30$	$30 - 60$	$60 - 80$	$80 - 90$
No. of students	$5$	$15$	$30$	$8$	$2$

Marks	$20$	$9$	$25$	$50$	$40$	$80$
No. of students	$6$	$4$	$16$	$7$	$8$	$2$

Calculate mode from the following data:

Income	$15 - 24$	$25 - 34$	$35 - 44$	$45 - 54$	$55 - 64$	$65 - 74$
No. of workers	$8$	$10$	$15$	$25$	$25$	$20$

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Marks	$26$	$38$	$54$	$65$	$72$	$88$
No. of students	$5$	$10$	$15$	$20$	$25$	$30$