MSU-IIT NATIONAL COOPERATIVE ACADEMY
A subsidiary of MSU-IIT NMPC, an education Cooperative
Zone 8, Miguel Sheker Ave., Bagong Silang
9200 Iligan City
School ID 463009
Educational Service Contracting (ESC) ID 1004028
Tel. Nos. (063) 222-0916 / (063) 221-4036
FOURTH PERIODIC EXAMINATION
E-Mathematics 8
MARCH 12-13, 2020
Name: _____________________________
Score: ____________
General Direction:
1 You are allowed to use CALCULATORS.
2 Items with erasures will be automatically marked as wrong.
3 Always show your solution/s if there is/are any. Items (which need solutions especially solving) answered
without solutions will be automatically marked as wrong.
4 Should there be questions, ask the proctor.
5 Always follow directions.
Formulas:
𝛿2 =
∑(𝑥 − 𝑥̅ )2
𝑠 =
𝑛−1
2
∑(𝑥−𝜇)2
𝛿=√
𝑁
∑(𝑥 − 𝑥̅ )2
𝑛−1
∑𝑥
∑ 𝑥 2 − ( )2
𝑛
𝑠2 =
𝑛−1
∑(𝑥−𝜇)2
𝑠=√
𝑁
∑𝑥
∑ 𝑥 2 − ( )2
𝑛
𝛿2 =
𝑁
1. The following data give the number of new cars sold at a dealership during 12-day period.
13, 5, 9, 6, 8, 11, 9, 15, 4, 11, 7, 5.
Find the Mean, Range, Variance and Standard Deviation:
Mean
Range
Variance
Standard Deviation
2. The following data give the number of cars that stopped at a service station during each of the 10 hours
observed.
29, 35, 42, 31, 24, 18, 16, 27, 39, 34
Find the Mean, Range, Variance and Standard Deviation:
Mean
Range
Variance
Standard Deviation
3. Consider the following data sets.
Data Set I
Data Set II
12
19
25
32
37
44
8
15
41
48
Note that each of the second data set is obtained by adding 7 to the corresponding value of the first data set.
Calculate the standard deviation for each of these two data sets using the formula for sample data. Comment
on the relationship between the two standard deviation.
Pre-School Recognition No. 00249, s.2001
Elementary Recognition No. 217, s. 2003
High School Recognition No. 02, s. 2006