Moving Averages

IMPORTANT

Moving Averages: Overview

This topic enhances our knowledge on the concept of moving averages in brief. We will understand it by various types of data from the different observations. We will also discuss its purpose and the concept of period of cycle.

Important Questions on Moving Averages

EASY

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 1

The number of road accidents in the city due to rash driving, over a period of $3$ years, is given in the following table:

Year	Jan-Mar	April-June	July-Sept.	Oct-Dec.
$2010$	$92$	$64$	$105$	$72$
$2011$	$86$	$54$	$42$	$81$
$2012$	$97$	$65$	$105$	$88$

Calculate four quarterly moving averages.

EASY

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 2

Assuming a four yearly cycle, calculate the trend by the method of moving averages from the following data:

Year	$1984$	$1985$	$1986$	$1987$	$1988$	$1989$	$1990$	$1991$	$1992$	$1993$
Value	$23$	$62$	$93$	$72$	$105$	$200$	$215$	$240$	$214$	$91$

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IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 3

The number of letters, in hundreds, posted in a certain city on each day of a week is given as follows: $99, 62, 73, 82, 76, 85 and 120$ . Calculate the three-day moving averages and display these graphically.

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IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 4

The table given below shows that the daily attendance in thousands at a certain exhibition over a period of two weeks:

Week $1$	$91$	$41$	$95$	$86$	$83$	$94$	$82$
Week $2$	$51$	$56$	$68$	$97$	$73$	$76$	$47$

Calculate seven day moving averages.

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IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 5

Calculate five yearly moving averages of the number of students who have studied in a school given below:

Year	Production (in tonnes)
$1986$	$355$
$1987$	$370$
$1988$	$375$
$1989$	$380$
$1990$	$415$
$1991$	$430$
$1992$	$470$
$1993$	$480$
$1994$	$440$
$1995$	$460$

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IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 6

Calculate five yearly moving averages of the number of students who have studied in a school given below:

Year	Production (in tonnes)
$1986$	$265$
$1987$	$324$
$1988$	$360$
$1989$	$285$
$1990$	$394$
$1991$	$338$
$1992$	$372$
$1993$	$296$
$1994$	$350$
$1995$	$310$

HARD

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 7

Calculate five yearly moving averages of the number of students who have studied in a school given below:

Year	Production (in tonnes)
$1986$	$380$
$1987$	$424$
$1988$	$340$
$1989$	$323$
$1990$	$484$
$1991$	$435$
$1992$	$460$
$1993$	$320$
$1994$	$472$
$1995$	$396$

EASY

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 8

Calculate five yearly moving averages of the number of students who have studied in a school given below:

Year	Production (in tonnes)
$1986$	$550$
$1987$	$546$
$1988$	$520$
$1989$	$423$
$1990$	$258$
$1991$	$474$
$1992$	$482$
$1993$	$380$
$1994$	$515$
$1995$	$364$

EASY

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 9

Calculate five yearly moving averages of the number of students who have studied in a school given below:

Year	Production (in tonnes)
$1986$	$355$
$1987$	$365$
$1988$	$370$
$1989$	$375$
$1990$	$405$
$1991$	$425$
$1992$	$415$
$1993$	$430$
$1994$	$455$
$1995$	$515$

EASY

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 10

Moving averages help technical traders to generate trading signals.

EASY

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 11

A moving average is a technical indicator that market analysts and investors may use to determine the direction of a trend.

HARD

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 12

What is a moving average?

HARD

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 13

Calculate five yearly moving averages of the number of students who have studied in a school given below:

Year	Production (in tonnes)
$1986$	$351$
$1987$	$366$
$1988$	$361$
$1989$	$362$
$1990$	$400$
$1991$	$419$
$1992$	$410$
$1993$	$420$
$1994$	$450$
$1995$	$510$

MEDIUM

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 14

Calculate the $3$ -yearly moving averages for the following data:

Year	$1$	$2$	$3$	$4$	$5$	$6$	$7$
Value	$2$	$4$	$5$	$7$	$8$	$10$	$14$

EASY

IMPORTANT

Mathematics>Moving Average>Moving Averages> Q 15

Cotyledons are also called-

Moving Averages

Moving Averages: Overview

Important Questions on Moving Averages

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