Question 1

Find the median of the set = { 11,22,33,55,66,99 }
A)55
B)44
C)33
D)22

Accepted Answer

The median is the middle value of a data set when it is ordered. For the set {11, 22, 33, 55, 66, 99}, the median is the average of the two middle numbers, 33 and 55, which is (33+55)/2 = 44.

Question 2

Find the mode of the Set = {1,3,3,6,9}
A)3
B)6
C)9
D)1

Accepted Answer

The mode is the number that appears most frequently in a data set. In the given set {1,3,3,6,9}, the number 3 appears twice, more than any other number, making it the mode.

Question 3

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
A)77
B)66
C)155
D)38

Accepted Answer

B

Question 4

Find the mode of the set (8, 5, 7, 10, 15, 21, 5, 7, 2, 5)
A)15
B)21
C)7
D)5

Accepted Answer

The mode is the number that appears most frequently in a data set. In this set, the number 5 appears three times, more than any other number, making it the mode.

Question 5

Find the median of the set of numbers: 100, 200, 450, 29, 1029, 300 and 2001.
A)300
B)29
C)7
D)4080

Accepted Answer

To find the median, first arrange the numbers in ascending order: 29, 100, 200, 300, 450, 1029, 2001. Since there is an odd number of values, the median is the middle number, which is 300.

Question 6

The median of the data 13, 15, 16, 17, 19, 20 is:
A)30/2
B)31/2
C)33/2
D)35/2

Accepted Answer

The answer of The median of the data 13, 15,...

Question 7

Find the mode of 8, 5, 7, 10, 15, 21, 5, 7, 2, 5
A)5
B)7
C)2
D)10

Accepted Answer

The mode is the number that appears most frequently in a data set. In this case, the number 5 appears three times, more than any other number, making it the mode.

Question 8

Find the median of the set of numbers: 21, 3, 7, 17, 19, 31, 46, 20 and 43.
A)19
B)20
C)3
D)16

Accepted Answer

To find the median, first, arrange the numbers in ascending order: 3, 7, 17, 19, 20, 21, 31, 43, 46. The median is the middle number, which is 20.

Question 9

The following numbers represent the ages of people on a bus: 3, 6, 27, 13, 6, 8, 12, 20, 5, 10. Calculate their mean of their ages.
A)11
B)6
C)9
D)110

Accepted Answer

To calculate the mean age, add all the ages together and then divide by the number of ages. The sum of the ages is 110 (3+6+27+13+6+8+12+20+5+10=110), and there are 10 people. So, 110 divided by 10 equals 11.

Question 10

If the mode is 14 and value of mean is 5 then the value of median is
A)12
B)18
C)8
D)14

Accepted Answer

In a moderately skewed distribution, the empirical relationship is: Mode = 3(Median) - 2(Mean). Plugging in the values: 14 = 3(Median) - 2(5), solving gives Median = 8.

Question 11

The sample mean is a
A)Parameter
B)statistics
C)variable
D)constant

Accepted Answer

The sample mean is a statistic because it is a measure that is calculated from sample data. Parameters are measures that describe a population, while statistics describe samples. A variable can change and a constant does not, but the sample mean specifically refers to a calculated statistic from a sample.

Question 12

The suitable average for qualitative data is
A)mean
B)median
C)mode
D)Geometric mean

Accepted Answer

The answer of The suitable average for qualitative data is
A)mean
B)median
C)mode
D)Geometric...

Question 13

. The average salary of a group of unskilled workers is 10,000 and for a group of skilled workers is 15,000. Combines salary is 12,000. What is the percent of skilled workers?
A)40%
B)50%
C)60%
D)None of these

Accepted Answer

To find the percentage of skilled workers, use the weighted average formula: (10,000x + 15,000y) / (x + y) = 12,000. Solving for the ratio y/(x+y) gives 40% skilled workers.

Question 14

The averages are affected by change of:
A)Origin
B)Scale
C)Origin and Scale
D)None of Above

Accepted Answer

The averages are affected by changes in both origin and scale because altering the origin or scale of the data changes the values of the data points, which in turn affects the calculation of the average.

Question 15

When the values in a series are not of equal importance, we calculate the:
A)Arithmetic mean
B)Geometric mean
C)Weighted mean
D)Mode

Accepted Answer

When the values in a series are not of equal importance, we calculate the weighted mean, as it allows for the assignment of different weights to different values, reflecting their varying levels of importance.

Question 16

A data set may have no mode, one mode, or multiple modes.
A)True
B)False
C)none
D)all

Accepted Answer

The statement is true because a mode is the value that appears most frequently in a data set. A data set may not have any repeated values, resulting in no mode. It can have one value that appears more frequently than others, resulting in one mode, or it can have multiple values that appear with the same highest frequency, resulting in multiple modes.

Question 17

Which partition value divides the series into two equal parts.
A)P10
B)P5
C)P50
D)P90

Accepted Answer

P50, or the 50th percentile, divides the series into two equal parts, with half of the data falling below this value and half above it.

Question 18

A furniture retail chain operates several stores across the country. A table is to be constructed to showing the number of employees in each region, organized into groups. Which of the following sets of categories would NOT be suitable for use in such a table?
A)0 - 10, 11-20
B)0 to less than 10, 10 to less than 20
C)0-10, 10-20
D)0 up to 10, 10 up to 20

Accepted Answer

Option C is not suitable because the categories overlap at the number 10, which could lead to confusion about where to categorize a store with exactly 10 employees.

Question 19

The cumulative frequency for a particular class is equal to 35. The cumulative frequency for the next class will be .
A)equal to 65.
B)35 minus the next class frequency.
C)less than 35.
D)35 plus the next class frequency.

Accepted Answer

The answer of The cumulative frequency for a particular class...

Question 20

What is the modal value for the numbers 4, 3, 8, 15, 4, 3, 6, 3, 15, 3, 4.
A)3
B)4
C)6
D)15

Accepted Answer

The modal value is the number that appears most frequently in a set of data. In this case, the number 3 appears the most frequently (4 times), making it the modal value.

Quiz 7: Average and Range Calculations

Find the median of the set = { 11,22,33,55,66,99 }

Find the mode of the Set = {1,3,3,6,9}

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

Find the mode of the set (8, 5, 7, 10, 15, 21, 5, 7, 2, 5)

Find the median of the set of numbers: 100, 200, 450, 29, 1029, 300 and 2001.

The median of the data 13, 15, 16, 17, 19, 20 is:

Find the mode of 8, 5, 7, 10, 15, 21, 5, 7, 2, 5

Find the median of the set of numbers: 21, 3, 7, 17, 19, 31, 46, 20 and 43.

The following numbers represent the ages of people on a bus: 3, 6, 27, 13, 6, 8, 12, 20, 5, 10. Calculate their mean of their ages.

If the mode is 14 and value of mean is 5 then the value of median is

The sample mean is a

The suitable average for qualitative data is

. The average salary of a group of unskilled workers is 10,000 and for a group of skilled workers is 15,000. Combines salary is 12,000. What is the percent of skilled workers?

The averages are affected by change of:

When the values in a series are not of equal importance, we calculate the:

A data set may have no mode, one mode, or multiple modes.

Which partition value divides the series into two equal parts.

A furniture retail chain operates several stores across the country. A table is to be constructed to showing the number of employees in each region, organized into groups. Which of the following sets of categories would NOT be suitable for use in such a table?

The cumulative frequency for a particular class is equal to 35. The cumulative frequency for the next class will be .

What is the modal value for the numbers 4, 3, 8, 15, 4, 3, 6, 3, 15, 3, 4.