General Directions: Answer the folowing problems comprehensively. Write your answers on a clean sheet of yellow paper. Submit your work on time. Failure to follow instructions will be given 0 as a score. 1. A data set has a mean of i = 75 and a standard deviation of 11.5. Find the z-score for each of the folowing. a. x- 85 C.x = 95 b. x= 50 d. x = 75

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General Directions: Answer the folowing problems comprehensively. Write your answers on a clean sheet of
yellow paper. Submit your work on time. Failure to folow instructions will be given o as a score.
1. A data set has a mean of f= 75 and a standard deviation of 11.5. Find the z-score for each of the
folowing.
a. x= 85
C.x = 95
b. x= 50
d. x = 75
2. Karl scored at the 5h percentile on a test given to 9840 students. How many students scored lower
than Karl?
3. Shaira scored 84" percentie on a test given to 12.600. How many students scored higher than sharia?
A survey was given to 18 students enrolled in modular distance learning of Hercor College High School
Department. One question asked about the one-way distance the student had to travel to submit
and retrieve their modules. The results, in miles, are shown in the table below. Use the median
procedure for finding quartiles to find the first, second and third quarfiles for the data.
4.
Miles Traveled to Submit and Retrieve Modules
1 8
10
12
18 4 5
26
41
10
85 7 5 15
3 28
32
10
CHRISTIAN DAVE A. BALASA
MATHEMATICS IN THE MODERN WORLD
Nature of Mathematics
Page | 20
5. The following table shows the number of prescription a doctor wrote eachday for a tuberculosis pafient
for a 36-day period. Use the median procedure for finding quartiles to find the first, second and third quarfiles for
the data.
Number of Prescription Written Per Day
12
14
10
16
14
10
7
11
16
11
12
8
14
13
10
9
14
15
12
10
8
10
14
8
7
12
15
14
10
15
10
12
6. The data given are the calories per 200 militers of popula sodas.
21,18,21,20,26,31, 18,16,25,27,13,27,36,24,25
a. Find the 25th percentile.
b. Find the median.
c. Find the 75th percentile.
7. Given the themes below, select3 themes and create a problem with your chosen themes. Avoid copying
data and any information from any books or from any websites. Then solve the following:
a. 25* percenfile, 50th percenfile, and 75th percentile
b. first quartile, second quartile, and third quarfile
e
Themes
v Poverty Index of the Philippines
v COVID - 19 Cases in the Philippines
Vehicular Accident in the Philippines
National Budget of Philippines
Government Official Safisfaction Rafing
Economic and Financial Data of the Philippines
Transcribed Image Text:General Directions: Answer the folowing problems comprehensively. Write your answers on a clean sheet of yellow paper. Submit your work on time. Failure to folow instructions will be given o as a score. 1. A data set has a mean of f= 75 and a standard deviation of 11.5. Find the z-score for each of the folowing. a. x= 85 C.x = 95 b. x= 50 d. x = 75 2. Karl scored at the 5h percentile on a test given to 9840 students. How many students scored lower than Karl? 3. Shaira scored 84" percentie on a test given to 12.600. How many students scored higher than sharia? A survey was given to 18 students enrolled in modular distance learning of Hercor College High School Department. One question asked about the one-way distance the student had to travel to submit and retrieve their modules. The results, in miles, are shown in the table below. Use the median procedure for finding quartiles to find the first, second and third quarfiles for the data. 4. Miles Traveled to Submit and Retrieve Modules 1 8 10 12 18 4 5 26 41 10 85 7 5 15 3 28 32 10 CHRISTIAN DAVE A. BALASA MATHEMATICS IN THE MODERN WORLD Nature of Mathematics Page | 20 5. The following table shows the number of prescription a doctor wrote eachday for a tuberculosis pafient for a 36-day period. Use the median procedure for finding quartiles to find the first, second and third quarfiles for the data. Number of Prescription Written Per Day 12 14 10 16 14 10 7 11 16 11 12 8 14 13 10 9 14 15 12 10 8 10 14 8 7 12 15 14 10 15 10 12 6. The data given are the calories per 200 militers of popula sodas. 21,18,21,20,26,31, 18,16,25,27,13,27,36,24,25 a. Find the 25th percentile. b. Find the median. c. Find the 75th percentile. 7. Given the themes below, select3 themes and create a problem with your chosen themes. Avoid copying data and any information from any books or from any websites. Then solve the following: a. 25* percenfile, 50th percenfile, and 75th percentile b. first quartile, second quartile, and third quarfile e Themes v Poverty Index of the Philippines v COVID - 19 Cases in the Philippines Vehicular Accident in the Philippines National Budget of Philippines Government Official Safisfaction Rafing Economic and Financial Data of the Philippines
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