Measures of Central Tendency Test

Result

Measures of Central Tendency Test - 4

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The ______________ is that value obtained by summing all elements in a set and dividing by the number of elements.

A
Mean

B
Mode

C
Maxima

D
Median

Solution

Mean is defined as the sum of the values of all observations divided by the number of observations.
Question 2
1 / -0

--- is the half distance between the third and first quartiles

A
M.D

B
Q.D

C
Variance

D
S.D

Solution

Quartile Deviation (QD) means the semi variation between the upper quartiles (Q3) and lower quartiles (Q1) in a distribution. The formula is Q3 - Q1/2.
Question 3
1 / -0

X > M > Z shows relationship

A
When the distribution is positively skewed

B
When the distribution is negatively skewed

C
mean median and mode are not equal

D
mean median and mode are identical

Solution

A distribution is positively skewed. When Mean> Median>Mode shows relationship.
Question 4
1 / -0

Approximately what percentage of scores falls within one standard deviation of the mean in a normal distribution?

A
0.34

B
0.95

C
0.99

D
68%

Solution

As per empirical rule, about 68% score falls in one standard deviation of mean.
Question 5
1 / -0

The mean of ten numbers is 58. If one of the numbers is 40, what is the mean of the other nine?

A
60

B
540

C
162

D
162

Solution

Mean is calculated as the sum of the values of all observations divided by the number of observations
Mean = 58, N= 10
sum of the values of all observations = 58 x 10 = 580
Corrected sum of the values of all observations = 580 - 40 = 540
Corrected number of observations = 10 – 1 = 9
Correct Mean = 540/9 = 60
Question 6
1 / -0

What is the mean of this set of numbers: 4, 6, 7, 9, and 2000000?

A
400005.2

B
7.5

C
4

D
7

Solution

Arithmetic mean by direct method isthe sum of all observations in a seriesdivided by the total number ofobservations. Mean = 4+6+7+9+2000000 = 2000026/5= 400005.2
Question 7
1 / -0

Which of the following is not a characteristic of the mean?

A
It is best used with ordinal data.

B
The sum of the deviations about the mean is 0.

C
It is affected by extreme scores.

D
It minimizes the sum of squared deviations.

Solution

Mean commonly used measure of central tendency not a number that tells the position of something in a list.
Question 8
1 / -0

The ______________ of a sample is the middle value when the data are arranged in ascending or descending rank order.

A
Mode

B
Range

C
Median

D
Mean

Solution

The Median is the “middle” element when the data set is arranged either ascending or descending.
Question 9
1 / -0

Measures of central tendency are

A
Descriptive statistics that identify the spread of the scores in a data set.

B
Inferential statistics that identify the spread of the scores in a data set.

C
Descriptive statistics that identify the best single value for representing a set of data

D
Inferential statistics that identify the best single value for representing a set of data

Solution

Inferential statistics allows us to draw conclusions from data that identify the best single value for representing a set of data.
Question 10
1 / -0

A measure of central tendency, given as the value above which half of the values fall and below which half of the values fall is called the ______________.

A
Mean

B
Median

C
Maxima

D
Mode

Solution

Median is that positional value of the variable which divides the distribution into two equal parts, one part comprises all values greater than or equal to the median value and the other comprises all values less than or equal to it.
Question 11
1 / -0

If the mean of five observations x, x + 2, x + 4, x + 6, x + 8 is 11. Find the mean of 1st three observations

A
10

B
9

C
7

D
8

Solution

Mean is calculated as the sum of the values of all observations divided by the number of observations
N= 3
Sum of the values of 1st. three observations = 11+9+7= 27
Mean = 27/3 = 9
Question 12
1 / -0

The median of an ordered set of data is the value that represents

A
The most frequently observed value

B
The mean of the squared deviations of the values from the mean

C
The arithmetic average of the data values

D
The middle or approximate middle of the data set

Solution

The median can be easily computed by sorting the data from smallest to largest and counting the middle value.
Question 13
1 / -0

The ______________ should be used as a measure of location if the distribution is asymmetric and the variable is measured on an ordinal scale.

A
Maxima

B
Mode

C
Median

D
Mean

Solution

If the data is quantitative in nature (ordinal or interval/ratio) then the median, can be used to describe the data. Therefore, in skewed distributions, the median will tend to be the more accurate measure to represent the data than the mean because the median can never have more than one half
Question 14
1 / -0

When the distribution is of open end classes which average may appropriate

A
Median

B
Median

C
None

D
Mean

Solution

An open ended distribution means that one or more of your classes are open-ended. In other words, it doesn’t have a boundary. In this frequency distribution table only find median from this data.
Question 15
1 / -0

According to the text, which of the following represents the highest peak of the distribution?

A
Mean

B
Median

C
Maxima

D
Mode

Solution

The mode is the most frequent score in our data set. It represents the highest peak of the distribution.
Question 16
1 / -0

What is the median of the following set of scores? 19, 5, 12, 10, 14?

A
19

B
10

C
14

D
12

Solution

Arranging the data, in ascending order, Median = size of (N+1)/2 item i.e. 12 .
Question 17
1 / -0

Suppose a researcher is concerned with a nominal scale that identifies users versus nonusers of bank credit cards. The measure of central tendency appropriate to this scale is the

A
Mode

B
Median

C
average

D
Mean

Solution

Here, Mode is the most appropriate measure. Mode is the most frequently observed data value.
Question 18
1 / -0

A batsman scores the following number of runs in 6 innings: 36, 35, 50, 46, 60, and 55. Calculate the mean runs scored in an inning.

A
48

B
47

C
46

D
45

Solution

Mean is calculated as the sum of the values of all observations divided by the number of observations
N= 6
Sum of the values of all observations = 36+35+50+46+60+55 = 282
Mean = 282/6 = 47
Question 19
1 / -0

The mean of 40 observations was 160. It was detected on re-checking that the value 165 was wrongly copied as 125 for computation of mean. Find the correct mean.

A
4

B
650

C
161

D
151

Solution

Mean is calculated as the sum of the values of all observations divided by the number of observations
N= 40 , Mean = 160
Sum of the values of all observations = 40 x 160 = 6400
Sum of the values of all observations after correction= 6400 -125 = 6275+165 = 6440
Correct Mean = 6440/40 = 161
Question 20
1 / -0

The mean of 11 numbers is 7. One of the numbers, 13, is deleted. What is the mean of the remaining 10 numbers?

A
6

B
6.4

C
5.8

D
7.7

Solution

Given Sum of all observations = 11x7=77

Correct Sum of all observations = 77-13 = 64

Correct total number of observations= 11-1= 10

Correct Mean = Correct Sum of all observations/ Correct total number of observations= 64/10 = 6.4
Question 21
1 / -0

If the distribution is asymmetric, which measure of location is most appropriate if the data is in a nominal scale? If it is in an ordinal scale? If it is in an interval or ratio scale?

A
Median, mean, mode

B
Mode, median, mean

C
Mode, mode, median

D
Median, median, median

Solution

A situation in which the values of variables occur at irregular frequencies and the mean, median and mode occur at different points. An asymmetric distribution is said to exhibit skewness. In contrast, a symmetric or normal distribution, when depicted on a graph, is shaped like a bell curve and the two sides of the graph are symmetrical.
Question 22
1 / -0

Which measure of central tendency takes into account the magnitude of scores?

A
Median

B
Mean

C
Mode

D
Range

Solution

Measures of central tendency describe the distribution of scores around a midpoint. The mean is the most commonly used measure of central tendency
Question 23
1 / -0

If the distribution is asymmetric and the variable is measured on a nominal scale, the ______________ should be used as a measure of location.

A
Median

B
Mean

C
Mode

D
Maxima

Solution

In an asymmetrical distribution the two sides will not be mirror images of each other. The values to be more frequent around the high or low ends.
Question 24
1 / -0

A distribution is skewed if Mean , Median , Mode are

A
None

B
Equal

C
Not equal

D
Symmetric

Solution

This is common for a distribution that is skewed to the similarly, a distribution that is skewed to the typically has a mean smaller than its median and median is smaller than Mode.
Question 25
1 / -0

Find the median

A
45

B
35

C
40

D
30

Solution

In case of discrete series the position of median i.e. (N+1)/2th item can be located through cumulative frequency. The corresponding value at this position is the value of median.

Value: 20   29   30   39   44

Frequency: 2 4    4 3 2

Cumulative frequency 2 6 10   13   15

M= 15+1/2 = 8th place which is located in 30

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Measures of Central Tendency Test - 4

Result

Measures of Central Tendency Test - 4

Score

-

Rank

-

SHARING IS CARING

Question 1

Mean

Mode

Maxima

Median

Solution

Question 2

M.D

Q.D

Variance

S.D

Solution

Question 3

When the distribution is positively skewed

When the distribution is negatively skewed

mean median and mode are not equal

mean median and mode are identical

Solution

Question 4

0.34

0.95

0.99

68%

Solution

Question 5

60

540

162

162

Solution

Question 6

400005.2

7.5

4

7

Solution

Question 7

It is best used with ordinal data.

The sum of the deviations about the mean is 0.

It is affected by extreme scores.

It minimizes the sum of squared deviations.

Solution

Question 8

Mode

Range

Median

Mean

Solution

Question 9

Descriptive statistics that identify the spread of the scores in a data set.

Inferential statistics that identify the spread of the scores in a data set.

Descriptive statistics that identify the best single value for representing a set of data

Inferential statistics that identify the best single value for representing a set of data

Solution

Question 10

Mean

Median

Maxima

Mode

Solution

Question 11

10

9

7

8

Solution

Question 12

The most frequently observed value

The mean of the squared deviations of the values from the mean

The arithmetic average of the data values

The middle or approximate middle of the data set

Solution