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Computing
Point Estimate
of a
Population Mean
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
RAMBLED
LETTERS
DIRECTIONS: Given the following letters, form a word or group or words
that corresponds to each of the statement below.
1.) Set of all people, objects, events or ideas you want
to investigate.
P
_ _ _ _ _ _ _ _ _ _
O P U L A T I O N
P
O P
U L A
T I
O N
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
RAMBLED
LETTERS
2.) A subset of population.
_ _ _ _ _ _
s a m p l e
m
a e
l p s
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
RAMBLED
LETTERS
3.) An average score.
_ _ _ _
m e a n
a m e
n
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
RAMBLED
LETTERS
4.) A number that describe a population
characteristics.
P
_ _ _ _ _ _ _ _ _
a r a m e T e r
m e P e r T a r a
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
RAMBLED
LETTERS
5.) Fixed number of elements.
_ _ _ _ _ _
F I N I T e
T e I N I F
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
STORY TELLING:
Snow White
and the
Seven Dwarfs
NEW
LESSON
Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9
Snow White sells bottled coconut
juice. She claims that a bottle contains
500 ml of such juice.
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9
The seven dwarfs wanted to know if her
claim is true. They went to six coconut farms and
took random samples of 10 such bottles and
obtained the capacity, in ml, of each bottle.
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9
500 498
497 503
499 497
497 497
497 495
500 500
495 494
498 500
500 500
500 497
497 497
502 496
497 497
497 497
497 495
501 495
500 497
497 500
500 495
497 497
502 497 497 499 496
497 497 499 500 500
496 497
496 495
497 497
500 500
496 497
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
Sample 1 500 498 497 503 499 497 497 497 497 495
Sample 2 500 500 495 494 498 500 500 500 500 497
Sample 3 497 497 502 496 497 497 497 497 497 495
Sample 4 501 495 500 497 497 500 500 495 497 497
Sample 5 502 497 497 499 496 497 497 499 500 500
Sample 6 496 497 496 495 497 497 500 500 496 497
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9
500 498
497 503
499 497
497 497
497 495
500 500
495 494
498 500
500 500
500 497
497 497
502 496
497 497
497 497
497
495
501 495
500 497
497 500
500 495
497 497
502 497
497 499
496 497
497 499
500 500
496 497
496 495
497 497
500 500
496 497
Sum:4972
Mean:498
Sum:4984
Sum:4980 Sum:4979 Sum:4984 Sum:4971
Mean:498.4 Mean:497.2 Mean:497.9 Mean:498.4 Mean:497.1
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
Mean:498 Mean:498.4 Mean:497.2 Mean:497.9 Mean:498.4 Mean:497.1
Snow White sells bottled coconut juice.
She claims that a bottle contains 500 ml of
such juice.
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
Mean:498
Mean:498.4
Mean:497.2
Mean:497.9
Mean:498.4
Mean:497.1
Snow White sells
bottled coconut juice.
She claims that a bottle
contains 500 ml of such
juice.
Sum of the Means: 2987
Mean of the Means: 497.83
The Computed Mean 497.83
based on the sample is slightly
less than the claimed value of
500ml
POINT ESTIMATE
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
NEW
LESSON
An ESTIMATE is a value or a range of values that approximate a
parameter. It is based on sample statistics computed from sample data.
ESTIMATION is the process of determining parameter values.
POINT ESTIMATE is a specific numerical value of a population parameter.
The sample mean is the best point estimate of the population mean.
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
THINK-PAIR-
SHARE
RESTAURANT SERVICE QUALITY!
Susan, a TLE researcher, looked at the average time (in minutes) it takes a random
sample of customers to be served in a restaurant. From 40 customers, the following
information was obtained.
8 8 10 18 10 13 8 10 8 10
12 10 16 16 12 15 12 12 9 15
10 20 20 12 10 10 16 10 18 12
15 12 15 14 15 16 15 12 8 8
1. What is the mean of the
sample?
2. Based on the
observation of the mean,
would you patronized the
restaurant?
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
Find the point estimate of the population parameter and the
standard deviation of the following set of data.
Percentage of children who watch TV before bedtime.
70 67 58 60 69 62 70 62
69 59 77 59 52 79 59 59
80 42 60 59 68 40 68 68
56 66 60 40 57 57 70 71
72 54 52 67 62 59 71 72
81 49 45 78 78 69 68 69
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
SEATWORK
:
Scores in a Long Test in Science:
Find the point estimate of the
population parameter of the following
set of data.
78 75 86 82 70
80 92 82 85 80
90 88 90 78 83
75 85 77 88 85
83 86 83 84 86
76 88 79 84 80
Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)

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SHS-Statistics_Point-Estimate-of-Population-Mean_Media-Material.ppt

  • 1. Computing Point Estimate of a Population Mean Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 2. RAMBLED LETTERS DIRECTIONS: Given the following letters, form a word or group or words that corresponds to each of the statement below. 1.) Set of all people, objects, events or ideas you want to investigate. P _ _ _ _ _ _ _ _ _ _ O P U L A T I O N P O P U L A T I O N Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 3. RAMBLED LETTERS 2.) A subset of population. _ _ _ _ _ _ s a m p l e m a e l p s Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 4. RAMBLED LETTERS 3.) An average score. _ _ _ _ m e a n a m e n Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 5. RAMBLED LETTERS 4.) A number that describe a population characteristics. P _ _ _ _ _ _ _ _ _ a r a m e T e r m e P e r T a r a Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 6. RAMBLED LETTERS 5.) Fixed number of elements. _ _ _ _ _ _ F I N I T e T e I N I F Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong) Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 7. STORY TELLING: Snow White and the Seven Dwarfs NEW LESSON Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9
  • 8. Snow White sells bottled coconut juice. She claims that a bottle contains 500 ml of such juice. Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong) Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9
  • 9. The seven dwarfs wanted to know if her claim is true. They went to six coconut farms and took random samples of 10 such bottles and obtained the capacity, in ml, of each bottle. Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong) Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9
  • 10. 500 498 497 503 499 497 497 497 497 495 500 500 495 494 498 500 500 500 500 497 497 497 502 496 497 497 497 497 497 495 501 495 500 497 497 500 500 495 497 497 502 497 497 499 496 497 497 499 500 500 496 497 496 495 497 497 500 500 496 497 Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 11. Sample 1 500 498 497 503 499 497 497 497 497 495 Sample 2 500 500 495 494 498 500 500 500 500 497 Sample 3 497 497 502 496 497 497 497 497 497 495 Sample 4 501 495 500 497 497 500 500 495 497 497 Sample 5 502 497 497 499 496 497 497 499 500 500 Sample 6 496 497 496 495 497 497 500 500 496 497 Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong) Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9
  • 12. 500 498 497 503 499 497 497 497 497 495 500 500 495 494 498 500 500 500 500 497 497 497 502 496 497 497 497 497 497 495 501 495 500 497 497 500 500 495 497 497 502 497 497 499 496 497 497 499 500 500 496 497 496 495 497 497 500 500 496 497 Sum:4972 Mean:498 Sum:4984 Sum:4980 Sum:4979 Sum:4984 Sum:4971 Mean:498.4 Mean:497.2 Mean:497.9 Mean:498.4 Mean:497.1 Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 13. Mean:498 Mean:498.4 Mean:497.2 Mean:497.9 Mean:498.4 Mean:497.1 Snow White sells bottled coconut juice. She claims that a bottle contains 500 ml of such juice. Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 14. Mean:498 Mean:498.4 Mean:497.2 Mean:497.9 Mean:498.4 Mean:497.1 Snow White sells bottled coconut juice. She claims that a bottle contains 500 ml of such juice. Sum of the Means: 2987 Mean of the Means: 497.83 The Computed Mean 497.83 based on the sample is slightly less than the claimed value of 500ml POINT ESTIMATE Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 15. NEW LESSON An ESTIMATE is a value or a range of values that approximate a parameter. It is based on sample statistics computed from sample data. ESTIMATION is the process of determining parameter values. POINT ESTIMATE is a specific numerical value of a population parameter. The sample mean is the best point estimate of the population mean. Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 16. THINK-PAIR- SHARE RESTAURANT SERVICE QUALITY! Susan, a TLE researcher, looked at the average time (in minutes) it takes a random sample of customers to be served in a restaurant. From 40 customers, the following information was obtained. 8 8 10 18 10 13 8 10 8 10 12 10 16 16 12 15 12 12 9 15 10 20 20 12 10 10 16 10 18 12 15 12 15 14 15 16 15 12 8 8 1. What is the mean of the sample? 2. Based on the observation of the mean, would you patronized the restaurant? Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 17. Find the point estimate of the population parameter and the standard deviation of the following set of data. Percentage of children who watch TV before bedtime. 70 67 58 60 69 62 70 62 69 59 77 59 52 79 59 59 80 42 60 59 68 40 68 68 56 66 60 40 57 57 70 71 72 54 52 67 62 59 71 72 81 49 45 78 78 69 68 69 Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)
  • 18. SEATWORK : Scores in a Long Test in Science: Find the point estimate of the population parameter of the following set of data. 78 75 86 82 70 80 92 82 85 80 90 88 90 78 83 75 85 77 88 85 83 86 83 84 86 76 88 79 84 80 Prepared By: Ryan Jay C. Verbo, Teacher III-SHS MPNAG (Mandaluyong)