UP Statistical Society
Education and Research Committee
Stat 101 LE1 Sample Exam
Topics: Intro to Statistics, Collection and Presentation of Data, Summary Measures, Boxplots
A. True or False
1. The mean can be used to summarize the responses of a variable whose possible
values are: 1 - Very Poor, 2 - Poor, 3 - Fair, 4 - Good, and 5 - Excellent.
2. The median is resistant to extreme outliers in the dataset.
3. A histogram and a bar chart can be used interchangeably.
4. All datasets contain at least one mode.
5. 50% of the data lies between the upper and lower fourths.
6. The best illustration to use to emphasize the change in the national budget over
time is the column chart.
7. Some tables can stand alone, without any textual explanation.
8. Suppose the mean of a dataset is 15. If we subtract 5 from all the values of the
dataset, then the new mean will remain the same.
9. The range is the easiest measure of spread to approximate from open-ended
grouped data.
10. A symmetrical box plot implies a normally distributed dataset.
11. You can determine the mean of your dataset using only the box plot
12. Government records used by researchers are typically considered as secondary
sources of data.
13. In descriptive statistics, conclusions are limited to describing the characteristics
and patterns within the data at hand.
14. You can perform all 4 basic arithmetic operations with interval data.
𝑁
∑ 𝑋𝑖
15. We use the formula 𝑖=1𝑁
when approximating the mean from a frequency
distribution table.
16. There are 4 quartile values in a dataset.
17. We calculate statistics from the population
18. A box plot displays the frequency of data points within each category.
19. A sample is always chosen before data collection begins.
20. To draw conclusions about the population, descriptive statistics is needed.
B. Identification/Fill in the blanks
1. The three key features of a boxplot are shape, _____________, and _____________.
2. The most complete type of table is the __________________________.
3. Population mean can only be computed by conducting a/an ___________.
4. ____________________ are numeric figures that condense the information from the
collection of observations.
5. The two major fields of statistics are ___________ and ________________.
6. Which measure of central tendency uses all available information in the data set?
UP Statistical Society
Education and Research Committee
Stat 101 LE1 Sample Exam
7. The realized value of a random variable is called a/an ____________.
8. The 4 levels of measurement are __________, ___________, __________, and
_________.
9. Most expensive and time-consuming type of survey method.
10. Give at least 2 forms of data presentation.
11. The 3 main classifications of data collection methods are _________, _________,
and ___________.
12. Give at least 3 fields/disciplines that utilize Statistics.
13. A sampling procedure that gives every element of the population a (known)
nonzero chance of being selected in the sample is called ____________.
14. The two main classifications of variables based on the nature and the possible
values that a variable can take are ____________ and ______________.
15. Identify the level of measurement from the following data:
A. Color of cars
B. Educational Attainment
C. Income in Peso
D. Blood Pressure
E. Age in Years
C. Problem Solving
1. The scores in the final exam of a group of students are: {29.75, 39.00, 32.00,
48.50, 50.00, 32.00, 43.50, 51.75, 35.25}. Compute for the 51st percentile using
weighted average and interpret the result.
2. The scores of a sample of 10 students each from Class 1 and Class 2 in their
Stat 101 exam appear below:
Class 1
Class 2
Student
Exam Score
Student
Exam Score
1
12
1
28
2
15
2
20
3
28
3
10
4
26
4
13
5
17
5
13
6
29
6
15
7
22
7
28
UP Statistical Society
Education and Research Committee
Stat 101 LE1 Sample Exam
8
27
8
28
9
14
9
25
10
24
10
23
a. Find the sample mean, median, and mode of the sample from Class. What
can you say about the skewness of the set of data based on the sample
mean, median, and mode?
b. Suppose the two samples are combined into one sample. Determine the
value of the 14th percentile using both Empirical Distribution Number with
Averaging and Weighted Average Estimate.
c. Compute the z-scores of the highest scoring student from each class.
Did the highest scoring student in Class 1 perform better than the highest
scoring student in Class 2?
d. Compute for the coefficient of variation of each sample. Compare and
interpret the two values.