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BASIC STATISTICS

Activity 1
Define the following terms:
1. Statistics
2. Descriptive Statistics
3. Inferential Statistics
4. Population
5. Sample
6. Quantitative Data
7. Discrete Variable
8. Continuous Variable
9. Qualitative Data
10. Frequency
11. Class
12. Class Mark
13. Relative Frequency
14. Cumulative Frequency
15. Frequency Distribution
16. Graph
17. Histogram
18. Frequency Polygon
19. Ogive
20. Pictogram

Activity 2
The following are the scores obtained by thirty students in a Statistics quiz

97           75           81           64           54           45           55           77           73           66

35           63           89           85           76           97           80           79           49           57

30           58           76           82           88           77           58           61           74           70

1. Construct a frequency distribution using 7 class intervals

2. Complete the table

Class Intervals

   f

Midpoint

Relative Frequency

Cumulative Frequency ≤

Cumulative Frequency ≥

Real Limits

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3. Construct the graph of the frequency distribution obtained in problem number 1

Activity 3

A. The following are the ages of 15 children in a class

12           14           11           10           8              10           12           13          

9              13           12           10           14           11           10

A. Determine:
1. Mean
2. Median
3. Mode

B. The following is a grouped frequency distribution of the ages of students pursuing graduate studies in a certain university
Class Intervals f
25-31 4
32-38 6
39-45 3
46-52 2
53-59 3
60-66 _ 2_
N = 20

Compute:
1. Mean
2. Median
3. Mode
4. Variance
5. Standard Deviation

ACTIVITY 4

Solve each of the following problems:

1. Find the probability that an even number appears in a single toss of a dice.

2. A ball is drawn at random from a box containing 4 green balls, 3 yellow balls, 2 purple balls and 5 orange balls. What is the probability that it is

2.1 green

2.2 not purple

2.3 not yellow

2.4 purple or yellow

3. Two cards are drawn from a deck of 52 cards. Find the probability that they are both kings if the first card is

3.1 replaced

3.2 not replaced

5. In how many ways can 6 differently colored sticks be arranged in a row?

6. How many 4-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7 if

6.1 repetition of digits is not allowed

6.2 repetition of digits is allowed

7. In how many ways can 3 women and 5 men be selected from 10 women and 12 men?

8. Out of 5 businessmen and 3 economists, a committee of 3 businessmen and 2 economists is to be formed. In how many ways can this be done if

8.1 any businessman or economist can be included

8.2 one particular businessman must be in the committee

8.3 one particular economist cannot be in the committee

9. In how many ways can 7 boys be seated in a circular table?

10. Odette has 8 pairs of pants, 12 shirts and 3 pairs of shoes. In how many ways can she vary her attire?

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