Measures of Central Tendency Test

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Measures of Central Tendency Test - 3

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Question 1
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Which partition value divides the total set of values into four equal Parts

A
Deciles

B
Mode

C
Quartile

D
Percentile

Solution

Quartiles are the measures which divide the data into four equal parts, each portion contains equal number of observations.
Question 2
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The most frequently occurring number in a set of values is called the ____.

A
Mode

B
Median

C
Mean

D
Range

Solution

The mode of a set of data values that appears most often or The most frequently occurring.
Question 3
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MODE

A
The value in the data set that occurs most Number occurs most frequently

B
Observations which has been arranged in an

C
Ascending or descending order of magnitude

D
The value of the middle item in a set of

Solution

Mode is the most fashionable values of a distribution, because it is repeated the highest number of times in the series. It is denoted by Mo.
Question 4
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Shoes manufacturing company only manufactures shoes for adults. Company wants to know the most popular size. Which type of central tendency will be the most appropriate?

A
Median

B
Mean

C
Mode

D
Range

Solution

Mode is the value that is, most populer or most likely to be sampled.
Question 5
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There are two methods of finding mode in discrete series

A
Descending method and grouping method

B
Inspection method and grouping method

C
Ascending method and grouping method

D
Mid point method and table method

Solution

The value of mode can be determined by the both methods of inspection method & grouping method in discrete series.
Question 6
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combined mean is

A
When mean of two or more than two series is computed collectively

B
When mean of only two series is computed collectively

C
When mean of One or more than two series is computed collectively

D
When mean of three or more than two series is computed collectively

Solution

Combined mean can be computed if we know the mean and number of items in each groups of the data.
Question 7
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Following are the disadvantages of Mean except

A
Easily affected by extreme values

B
In grouped data with open-ended class intervals, the mean cannot be computed

C
Does not possess the desired algebraic property

D
Cannot be computed if there are missing values due to omission or non-response.

Solution

The mean does not possess the desired algebraic property ,the mean has several properties and by virtue of them it can be readily manipulated in varied situation.
Question 8
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The value of the middle item in a set of observations which has been arranged in an ascending or descending order of magnitude

A
Mean

B
Median

C
Mode

D
Range

Solution

To find the median, you must first order the numbers from smallest to largest.
Question 9
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In case of symmetrical distribution, mean median and mode are

A
None

B
Skewed to the right

C
Identical

D
Are not equal

Solution

A symmetric distribution is a type of distribution where the left side of the distribution mirrors the right side. In a symmetric distribution, the mean, mode and median all fall at the same point.
Question 10
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Below mention formula is used for calculating

A
Median

B
Range

C
Mode

D
Mean

Solution

In case of continuous series the median can locate the median class where N/2th item [not (N+1)/2th item] lies. The median can then be obtained as given formula.
Question 11
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Percentiles divide the series into

A
Four equal parts

B
None of these

C
Hundred equal parts

D
Two equal parts

Solution

Percentiles divide the distribution into hundred equal parts, so you can get 99 dividing positions denoted by P1, P2, P3, ..., P99.
Question 12
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The ______ is the value you calculate when you want the arithmetic average.

A
Mode

B
Median

C
Mean

D
All of these

Solution

The arithmetic mean, also called the arithmetic average.
Question 13
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______ is not capable of algebraic treatment

A
Arithmetic mean

B
Median

C
None

D
Both

Solution

Beside algebraic approach, the median value can be estimated also through graphic presentation of data.
Question 14
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The mean is

A
The value that occurs most frequently

B
The midpoint in a set of scores

C
The sum of all the values in a group, divided by the number of values in that group

D
The highest value

Solution

The sum of the values of all observations divided by the number of observations. Mean = ∑X / N
Question 15
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Which of the following is NOT a common measure of central tendency?

A
Mode

B
Mean

C
Range

D
Median

Solution

The Range is the difference between the lowest and highest values of the data.
Question 16
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There are three Quartiles

A
Q₁, Q₃, Q₅

B
Q₁, Q₁, Q₂

C
Q₀, Q₁, Q₂

D
Q₁, Q₂, Q₃

Solution

Quartiles are the measures which divide the data into four equal parts, each portion contains equal number of observations. Thus, there are three quartiles, Q1,Q2and Q3.
Question 17
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Relationship between mode is

A
Mode = 4Median – 2Mean

B
Mode = 3Median – 2Mean

C
Mode = 2Median – 1Mean

D
Mode = 2Median – 3Mean

Solution

In a normal distribution in which the values of mean, median and mode coincide, (i.e. mean = median = mode) is known as asymmetrical distribution. Mode=3 Median-2 Mean
Question 18
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Following are the partition values except

A
Quartile

B
Percentile

C
Mode

D
Deciles

Solution

The mode of a set of data is the value in the set that occurs most often.
Question 19
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Which diagram is used for finding the value of mode graphically?

A
None

B
Pie Char

C
Bar graph

D
Histogram

Solution

The hight of the rectangles in the histogram is marked by the frequencies of the class interval as shown in the graph .Identify the highest rectangle. This corresponds to the modal class of the series.
Question 20
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______ divides the data into 4 equal parts

A
Median

B
Quartiles

C
Mean

D
Range

Solution

Quartiles in statistics are values that divide your data into quarters
Question 21
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The _______ is often the preferred measure of central tendency if the data are severely skewed.

A
Mean

B
Mode

C
Median

D
Range

Solution

The median is usually preferred to other measures of central tendency when your data set is skewed.
Question 22
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Which of the Following statement is false regarding Mode

A
Like the median, observations from different data sets have to be merged to obtain a new mode, whether group or ungrouped data are involved

B
Can be easily identified through ocular inspection

C
Does not possess the desired algebraic property of the mean that allows further manipulations

D
Affected by extreme values

Solution

Mode is not affected by the presence of extreme items.
Question 23
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The median is ______.

A
Affected by extreme scores

B
The average

C
The highest number

D
The middle point

Solution

Median is that positional value of the variable which divides the distribution into two equal parts.
Question 24
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As a general rule, the _______ is the best measure of central tendency because it is more precise.

A
Range

B
Median

C
Mean

D
Mode

Solution

The mean is usually the best measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data is normally distributed.
Question 25
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When the distribution is negatively skewed

A
X > M > Z

B
X > M < Z

C
X < M < Z

D
X < M > Z

Solution

A distribution is negatively skewed the mean is usually lesser than the median and Median is lesser than Mode.

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Re-Attempt Weekly Quiz Competition

Measures of Central Tendency Test - 3

Result

Measures of Central Tendency Test - 3

Score

-

Rank

-

SHARING IS CARING

Question 1

Deciles

Mode

Quartile

Percentile

Solution

Question 2

Mode

Median

Mean

Range

Solution

Question 3

The value in the data set that occurs most Number occurs most frequently

Observations which has been arranged in an

Ascending or descending order of magnitude

The value of the middle item in a set of

Solution

Question 4

Median

Mean

Mode

Range

Solution

Question 5

Descending method and grouping method

Inspection method and grouping method

Ascending method and grouping method

Mid point method and table method

Solution

Question 6

When mean of two or more than two series is computed collectively

When mean of only two series is computed collectively

When mean of One or more than two series is computed collectively

When mean of three or more than two series is computed collectively

Solution

Question 7

Easily affected by extreme values

In grouped data with open-ended class intervals, the mean cannot be computed

Does not possess the desired algebraic property

Cannot be computed if there are missing values due to omission or non-response.

Solution

Question 8

Mean

Median

Mode

Range

Solution

Question 9

None

Skewed to the right

Identical

Are not equal

Solution

Question 10

Median

Range

Mode

Mean

Solution

Question 11

Four equal parts

None of these

Hundred equal parts

Two equal parts

Solution

Question 12

Mode

Median

Mean

All of these

Solution

Q₁, Q₃, Q₅

Q₁, Q₁, Q₂

Q₀, Q₁, Q₂

Q₁, Q₂, Q₃