Methods to Find Arithmetic Mean for Different Data

IMPORTANT

Methods to Find Arithmetic Mean for Different Data: Overview

In this topic, we will study the methods of finding arithmetic mean for different types of data. It comprises the definition of arithmetic mean. It consists of different types of methods such as step deviation, shortcut and direct method in brief.

Important Questions on Methods to Find Arithmetic Mean for Different Data

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 1

Find the A.M for the following

CI	350-369	370-389	390-409	410-429	430-449	450-469	470-489
f	23	38	58	82	65	31	11

EASY

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 2

Find the mean for the given frequency distribution table.

Class interval	Frequency $(f_{i})$
$2 - 4$	$1$
$4 - 6$	$5$
$6 - 8$	$3$
$8 - 10$	$2$
$10 - 12$	$4$

EASY

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 3

Find the mean for the given frequency distribution table.

Class interval	Frequency $(f)$
$2 - 4$	$2$
$4 - 6$	$5$
$6 - 8$	$6$
$8 - 10$	$2$
$10 - 12$	$4$

EASY

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 4

Find the mean for the given frequency distribution table.

Class interval	Frequency $(f)$
$2 - 4$	$2$
$4 - 6$	$3$
$6 - 8$	$6$
$8 - 10$	$2$
$10 - 12$	$1$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 5

Calculate the arithmetic mean from the following given data:

$x$	$4$	$8$	$12$	$16$	$20$
$f$	$6$	$12$	$18$	$15$	$9$

What are the merits and demerits of mean?

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 6

Calculate the arithmetic mean from the following given data:

$x$	$1$	$2$	$3$	$4$
$f$	$5$	$10$	$15$	$20$

What are the merits and demerits of mean?

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 7

Calculate the arithmetic mean from the following given data:

Items $(x)$	$4$	$6$	$8$	$10$	$12$	$14$
Frequency $(f)$	$5$	$9$	$11$	$8$	$4$	$3$

What are the merits and demerits of mean?

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 8

Calculate the arithmetic mean from the following given data: (Using direct method)

Class interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$9$	$12$	$15$	$10$	$14$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 9

Calculate the arithmetic mean from the following given data: (Using direct method)

Class interval	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
Frequency	$4$	$8$	$10$	$12$	$10$	$4$	$2$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 10

Calculate the arithmetic mean from the following given data: (Using direct method)

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Number of persons	$5$	$10$	$25$	$30$	$20$	$10$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 11

Calculate the arithmetic mean from the following given data: (Using direct method)

Income	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$
Number of persons	$4$	$7$	$16$	$20$	$15$	$8$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 12

Apply the step-deviation method to find the $A M$ of the following frequency distribution.

Variate $(x)$ :	$5$	$10$	$15$	$20$	$25$	$30$	$35$	$40$	$45$	$50$
Frequency $(f)$ :	$20$	$43$	$75$	$67$	$72$	$45$	$39$	$9$	$8$	$6$

[Write the answer up to two decimal places.]

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 13

The following table shows the weights of $12$ students.

Weight (in $kg$ ):	$67$	$70$	$72$	$73$	$75$
Number of students:	$4$	$3$	$2$	$2$	$1$

Find the mean weight by using short-cut method. [Write the answer up to two decimal places and in $kg$ ]

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 14

Calculate the arithmetic mean from the following given data: (Using direct method)

Obtained marks	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$
Number of students	$4$	$12$	$14$	$8$	$7$	$5$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 15

Calculate the arithmetic mean from the following given data using assumed mean method:

$x$	$10$	$20$	$30$	$40$	$50$
$f$	$5$	$12$	$38$	$22$	$23$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 16

Calculate the arithmetic mean from the following given data using assumed mean method:

$x$	$5$	$15$	$25$	$35$	$45$
$f$	$4$	$7$	$12$	$4$	$3$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 17

Calculate the arithmetic mean from the following given data using assumed mean method:

$x_{i}$	$10$	$20$	$30$	$40$
$f_{i}$	$2$	$3$	$4$	$1$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 18

Calculate the arithmetic mean from the following given data using assumed mean method:

Marks $(x)$	$4$	$8$	$12$	$16$	$20$
Number of students $(f)$	$6$	$12$	$18$	$15$	$9$

HARD

IMPORTANT

Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 19

Calculate the arithmetic mean from the following given data using assumed mean method:

Items $(x)$	$4$	$6$	$8$	$10$	$12$	$14$
Frequency $(f)$	$5$	$9$	$11$	$8$	$4$	$3$

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Mathematics>Measures of Central Tendency>Methods to Find Arithmetic Mean for Different Data> Q 20

Calculate the weighted mean of the following data:

Marks	$60$	$80$	$90$	$75$
Weights	$4$	$3$	$1$	$2$

Methods to Find Arithmetic Mean for Different Data

Methods to Find Arithmetic Mean for Different Data: Overview

Important Questions on Methods to Find Arithmetic Mean for Different Data

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