Mean of Grouped Data

Author:Nagaland Board Of School Education

10th Nagaland Board

IMPORTANT

Important Questions on Mean of Grouped Data

HARD

IMPORTANT

Mathematics For Class X>Statistics>Mean of Grouped Data> Q 1

The following table gives the literacy rate (in percentage) of $35$ cities. Find the mean literacy rate.

Literacy rate (in %)	$45 - 55$	$55 - 65$	$65 - 75$	$75 - 85$	$85 - 95$
Number of cities	$3$	$10$	$11$	$8$	$3$

HARD

IMPORTANT

Mathematics For Class X>Statistics>Mean of Grouped Data> Q 2

A class teacher has the following absentee record of $40$ students of a class for the whole term. Find the mean number of days a student was absent.

Number of days	$0 - 6$	$6 - 10$	$10 - 14$	$14 - 20$	$20 - 28$	$28 - 38$	$38 - 40$
Number of students	$11$	$10$	$7$	$4$	$4$	$3$	$1$

HARD

IMPORTANT

Mathematics For Class X>Statistics>Mean of Grouped Data> Q 3

To find out the concentration of $S O_{2}$ in the air (in parts per million, i.e., ppm), the data was collected for $30$ localities in a certain city and is presented below:

Concentration of $S O_{2}$ (in pmm)	Frequency
$0.00 - 0.04$	$4$
$0.04 - 0.08$	$9$
$0.08 - 0.12$	$9$
$0.12 - 0.16$	$2$
$0.16 - 0.20$	$4$
$0.20 - 0.24$	$2$

Find the mean concentration of

S O_{2}

in the air.

HARD

IMPORTANT

Mathematics For Class X>Statistics>Mean of Grouped Data> Q 4

The table below shows the daily expenditure on food of $25$ households in a locality.

Daily expenditure (in ₹)	$100 - 150$	$150 - 200$	$200 - 250$	$250 - 300$	$300 - 350$
Number of households	$4$	$5$	$12$	$2$	$2$

Find the mean daily expenditure on food by a suitable method.

HARD

IMPORTANT

Mathematics For Class X>Statistics>Mean of Grouped Data> Q 5

In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Number of mangoes	$50 - 52$	$53 - 55$	$56 - 58$	$59 - 61$	$62 - 64$
Number of boxes	$15$	$110$	$135$	$115$	$25$

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

HARD

IMPORTANT

Mathematics For Class X>Statistics>Mean of Grouped Data> Q 6

Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarized as follows. Find the mean heart beats per minute for these women, choosing a suitable method.

Number of heart beats per minute	$65 - 68$	$68 - 71$	$71 - 74$	$74 - 77$	$77 - 80$	$80 - 83$	$83 - 86$
Number of women	$2$	$4$	$3$	$8$	$7$	$4$	$2$

HARD

IMPORTANT

Mathematics For Class X>Statistics>Mean of Grouped Data> Q 7

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is ₹ $18 .$ Find the missing frequency $f .$

Daily pocket allowance (in ₹)	$11 - 13$	$13 - 15$	$15 - 17$	$17 - 19$	$19 - 21$	$21 - 23$	$23 - 25$
Number of workers	$7$	$6$	$9$	$13$	$f$	$5$	$4$

HARD

IMPORTANT

Mathematics For Class X>Statistics>Mean of Grouped Data> Q 8

Consider the following distribution of daily wages of $50$ workers of a factory.

Daily wages (in $₹$ )	*$500 - 520$*	*$520 - 540$*	*$540 - 560$*	*$560 - 580$*	*$580 - 600$*
Number of workers	*$12$*	*$14$*	*$8$*	*$6$*	*$10$*

Find the mean daily wages of the workers of the factory by using an appropriate method.

MEDIUM

IMPORTANT

Mathematics For Class X>Statistics>Mean of Grouped Data> Q 9

A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in $20$ houses in a locality. Find the mean number of plants per house.

Number of plants	$0 - 2$	$2 - 4$	$4 - 6$	$6 - 8$	$8 - 10$	$10 - 12$	$12 - 14$
Number of houses	$1$	$2$	$1$	$5$	$6$	$2$	$3$

Which method did you use for finding the mean, and why?

Mean of Grouped Data

Important Questions on Mean of Grouped Data

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