Measures of Central Tendency Test

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Measures of Central Tendency Test - 44

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Weekly Quiz Competition

Question 1
1 / -0

"An average is an attempt to find one single figure to describe the whole of figures". This definition is given by ________________.

A
Croxton and Cowden

B
Simpson and Kafka

C
Clark and Sekkade

D
Murry R. Spiegal

Solution

Clarke and Sekkade defined average as a method which ascertain a certain value by the use of observations from the data that represents the whole set of the data. According to them, average is a single figure that represent the whole series.
Question 2
1 / -0

If the 2nd term of a GM series is 25, the first and 3rd terms will be _____.

A
5,125

B
105,5

C
5,105

D
25,125

Solution

Geometric mean between two numbers is the mean proportion of the series.
Therefore, let the two numbers be a and b
a/25 = 25/b
=>ab= 25 x 25

Also , a/b = 1/25

b = 25a

so, a (25a) = 25 x 25

=>a²= 25

=> a = 5

Now, b = 25(5)
b = 125
Therefore, the first and the 3rd terms are 5 and 125 respectively.
Question 3
1 / -0

"A measure of central tendency is a typical value around which other figure congregate". This definition is given by ________________.

A
Croxton and Cowden

B
Simpson and Kafka

C
Clark and Sekkade

D
Murry R. Spiegal

Solution

Simpson and Kafka proposed a very universally accepted definition of measure of central tendency where they defined it as a typical value that represents the whole series of observation where the other observations in the series revolves around the typical value.
Question 4
1 / -0

"An average is a value which is typical or representative of a set of data". This definition is given by _______________.

A
Croxton and Cowden

B
Simpson and Kafka

C
Clark and Sekkade

D
Murry R. Spiegal

Solution

Murray R. Spiegal was an author of technical books on applied mathematics from Brooklyn who defined average as the central most value of a given series which can represent the whole set of the series. In the given series, the central location of the observation is measured through different tools in order to ascertain the most efficient value that can represent the series which are know as average of the series.
Question 5
1 / -0

A measure of central tendency tries to estimate the ______________ of the data set.

A
central value

B
lower value

C
upper value

D
extreme value

Solution

Measures of central tendency is a mathematical concept that measures the central most value of a given series which can represent the whole set of the series. In the given series, the central location of the observation is measured through different tools in order to ascertain the most efficient value that can represent the series.
Question 6
1 / -0

The value of all the items are taken into consideration in the calculation of ____________.

A
mode

B
mean

C
median

D
None of above

Solution

Mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data. It is the most commonly used measure of central tendency because it includes all the observation in a given data.
Question 7
1 / -0

_________ of a distribution is that value of the variant which divides it into two equal parts.

A
Mode

B
Mean

C
Median

D
Harmonic mean

Solution

Median is the middle most value of a series. So it divides a series of observations into two equal parts where 50% of the observations are below the median value and other 50% are above the median value.
Question 8
1 / -0

Which of the following is "Mathematical Average"?

A
Arithmetic Mean

B
Geometric Mean

C
Harmonic Mean

D
All of above

Solution

Mathematical average refers to all such average where a figure is taken out through mathematical methods from the a given series that represents the whole series. These average includes arithmetic mean, geometric mean and harmonic mean.
Question 9
1 / -0

$$50$$% of actual value will be below and $$50$$% of will be above for ______________.

A
the mode

B
the median

C
the mean

D
None of above

Solution

Median is the middle most value of a series. So it divides a series of observations into two equal parts where 50% of the observations are below the median value and other 50% are above the median value.
Question 10
1 / -0

If there are $$N$$ individual observations $$X1, X2, ....Xn$$, Arithmetic mean $$=$$?

A
$$\overline {X} = \dfrac {X_{1}\times X_{2} \times X_{3}\times ......X_{n}}{N}$$

B
$$\overline {X} = \dfrac {X_{1} + X_{2} + X_{3} +......X_{n}}{N}$$

C
$$\overline {X} \dfrac {\sum X_{i}}{N}$$

D
(B) or (C)

Solution

$$\overline {X} = \dfrac {X_{1} + X_{2} + X_{3} +......X_{n}}{N}=\dfrac{\sum{X}}{N}$$
This is the direct method of calculating arithmetic mean.

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Re-Attempt Weekly Quiz Competition

Measures of Central Tendency Test - 44

Result

Measures of Central Tendency Test - 44

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SHARING IS CARING

Question 1

Croxton and Cowden

Simpson and Kafka

Clark and Sekkade

Murry R. Spiegal

Solution

Question 2

5,125

105,5

5,105

25,125

Solution

Question 3

Croxton and Cowden

Simpson and Kafka

Clark and Sekkade

Murry R. Spiegal

Solution

Question 4

Croxton and Cowden

Simpson and Kafka

Clark and Sekkade

Murry R. Spiegal

Solution

Question 5

central value

lower value

upper value

extreme value

Solution

Question 6

mode

mean

median

None of above

Solution

Question 7

Mode

Mean

Median

Harmonic mean

Solution

Question 8

Arithmetic Mean

Geometric Mean

Harmonic Mean

All of above

Solution

Question 9

the mode

the median

the mean

None of above

Solution

Question 10

$$\overline {X} = \dfrac {X_{1}\times X_{2} \times X_{3}\times ......X_{n}}{N}$$

$$\overline {X} = \dfrac {X_{1} + X_{2} + X_{3} +......X_{n}}{N}$$

$$\overline {X} \dfrac {\sum X_{i}}{N}$$

(B) or (C)

Solution

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