Measure of Central tendency

Q. The number of people living in six houses is $3,8,4,x,y\text{and}z,$ where $x<y<z$.
What are the values of $x,y\text{and}z$?

Given:
The median is $7.5$.
The mode is $8$.
The mean is $7$.

1. $x=7.5,y=8,\text{and}z=7$
2. $x=7,y=8,\text{and}z=12$
3. $x=8,y=7,\text{and}z=12$
4. Cannot be determined

Q. Mean/average, median and mode are different measures of central tendency.

1. True
2. False

Q. Mean, Median and are the three measures of central tendency.

Q. In which of the following data set(s) all the measures of central tendency are same?

1. $\{1,6,6,11\}$
2. $\{2,3,3,3,4\}$
3. $\{0,6,6,6\}$
4. None of the above.

Q. Choose the correct option regarding the measure of central tendency.

Statement I: It provides information about the data set without listing all its values.

Statement II: It does not help in comparing multiple data sets.

1. Only Statement I is wrong.
2. Only Statement II is wrong.
3. Both the statements are wrong.
4. None of the above

Q. The following data depicts the modes of public transportation used by various groups of people between two cities:
Mode of Transportation Bus Rental Car Train Metro Tram Number of passengers

$650$	$550$	$4900$	$850$	$700$

Which measure of central tendency represents the best value for number of passengers in public transportation?

1. Mean
2. Median
3. Mode

Q. Consider the following data set:

$15$	$16$	$18$	$13$	$11$
$x$	$20$	$12$	$22$	$23$

If the median of the given data set is $16.5$, then $x$ = .

Q. The measures of central tendency of a data set (4, 2, 7, x, y, z) where, x < y < z; are as follows:

• Median = Mean = 5
• Mean = 5

Choose the correct values of x, y, and z

1. x = 2, y = 9, z = 6
2. x = 2, y = 6, z = 9
3. x = 3, y = 7, z = 10
4. x = 4, y = 2, z = 9

Q.

Which measure of central tendency best represents the data of the most popular politician after a debate?

1. Mean

2. Median

3. Mode

4. Any of the above

Q. In a firm, there are two manufacturers - Vicky and Noah. Vicky has $11$ machines, which are capable to produce $550$ finished goods in a day. Whereas, Noah has $18$ machines, which produce $720$ finished goods per day. Which manufacturer has more efficient machines?

1. Machines of Vicky are more efficient.
2. Machines of Noah are more efficient.
3. Machines of both Vicky and Noah are equally efficient.
4. Cannot be determined

Q. Average holds multiple values that can be used to represent an entire data set, and can be used to compare multiple data sets.

1. True
2. False

Q. Which measure of central tendency is better for a data set having outlier(s)?

1. Mean
2. Median
3. Mode
4. None of the above.