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Measures of Position, Central Tendency, and Dispersion

Total questions: 20

Worksheet time: 13mins

Name
Class
Date
1.

We can divide the data set into four quartiles. Similarly, it can also be divided into ten deciles, as well as a hundred percentile.

a)

True

b)

False

c)

There is not enough inform to conclude.

d)

Sometimes true.

2.

Which among the following is the equivalent of 75th Percentile?

a)

D75

b)

D3

c)

Q3

d)

None is correct among the choices.

3.

Which of the following statistical tools identify the location of a certain data in a set?

a)

Measures of Position

b)

Measures of Central Tendency

c)

Measures of Dispersion

d)

None is correct among the choices.

4.

The following ratings were given by the judges to Group A's delicacy.

6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10

What is Q3 and its corresponding data (x3)?

a)

Q3 = 9 ; x3 = 9

b)

Q3 = 8 ; x3 = 8

c)

Q3 = 8 ; x3 = 9

d)

Q3 = 9 ; x3 = 8

5.

The following ratings were given by the judges to Group A's delicacy.

6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10

What is D4 and its corresponding data (x4)?

a)

D4 = 4 ; x4 = 7

b)

D4 = 4 ; x4 = 8

c)

D4 = 5 ; x4 = 7

d)

D4 = 5 ; x5 = 8

6.

When finding the measures of position, it is not necessary to arrange the data from lowest to highest.

a)

True

b)

False

c)

There is not enough information to conclude.

d)

Sometimes true.

7.

Which measure of central tendency is the most commonly used?

a)

Mean

b)

Median

c)

Mode

d)

None is correct among the choices.

8.

This measure of central tendency finds the most repeated data value.

a)

Mean

b)

Median

c)

Mode

d)

None is correct among the choices.

9.

We can also find the median by calculating the 50th percentile, 5th decile, or 3rd quartile.

a)

True

b)

False

c)

There is not enough information to conclude.

d)

Sometimes true.

10.

What type of mode is the set of data below?

0, 5, 4, 0, 4, 1, 7, 6, 4, 0

a)

Unimodal

b)

Bimodal

c)

Trimodal

d)

Modal

11.

The data below shows the ages of front-desk officers at Hotel X. Determine the mean and the median score.

20, 20, 21, 21, 23, 24, 25, 26, 27

a)

Mean = 23 ; Median = 24

b)

Mean = 23 ; Median = 23

c)

Mean = 24 ; Median = 24

d)

Mean = 24 ; Median = 23

12.

Which is not a property of the median?

a)

It is not affected by extreme values.

b)

It may or may not be an actual score in the distribution.

c)

Use median when exact midpoint is desired.

d)

All of the choices are properties of median.

13.

When there is no repeated value in a given data set, the mode is equal to zero.

a)

True

b)

False

c)

There is not enough information to conclude.

d)

Sometimes true.

14.

Find the GWA if you got the following grades:

Data Analytics (3.0 units): 1.50

Foreign Language (3.0 units): 1.75

Elective Subject (2.0 units): 2.00

a)

1.72

b)

1.75

c)

1.77

d)

None is correct among the choices.

15.

Which statistical tool is used to describe how spread out the data are?

a)

Measures of Position

b)

Measures of Central Tendency

c)

Measures of Dispersion

d)

None is correct among the choices.

16.

A restaurant clerk recorded the weight of boxes containing ingredients. In kilograms:

4.5, 4.9, 5.1, 4.6, 5.0, 4.8, 4.4, 5.2

What is the data's range?

a)

0.7 kg

b)

0.8 kg

c)

0.9 kg

d)

None is correct among the choices.

17.

Juan computed the standard deviation of his data to be 3.5. What is the variance?

a)

7

b)

12.25

c)

1.87

d)

None is correct among the choices.

18.

The lower the standard deviation, the less spread out the data are.

a)

True

b)

False

c)

There is not enough information to conclude.

d)

Sometimes true.

19.

When calculating for the standard deviation, the first step to do is to find the mean. What is the next procedure?

a)

Get the square root of the fraction inside.

b)

Find the median of the data.

c)

Find the deviations of each data.

d)

Find the mode of the data.

20.

What is the lowest possible result for a variance?

a)

1

b)

0

c)

Negative infinity

d)

We cannot determine.