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Over a period of time, the number of people leaving a hotel each morning was recorded. These data are
summarised in the stem-and-leaf diagram below:
Stem Leaf Frequency
2 799 3
3 22346 5
4 01489 5
5 2336668 7
6 0145 4
7 23 2
8 1 1
Key: 3 5 = 35. Determine the mode and the median of the data
BrushPro is an one-man paint business owned by Banele. If x offices are painted per month, BrushPro’s
monthly profit, P, is given by the function
P(x) = −x3 + 27x2 + 132x + 2 970,
where 0 ≤ x ≤ 34. Use marginal analysis to determine the approximate change in BrushPro’s monthly profit
when the 23rd office is painted. The profit will
A restaurant owner is concerned about the amount of time customers must wait before being served over
weekends. He collects data on the waiting times, to the nearest minute, of 20 tables on Friday evening and
15 tables on Saturday evening.
The average waiting time on Friday evening is 24 minutes per table.
The total waiting time for the 15 tables on Saturday evening is seven hours and three
quarters of an hour.
The mean waiting time per table for Friday and Saturday evening, rounded to the nearest minute, is
The ages (in years) of 50 individuals on a mailing list, in ascending order are:
10 11 13 14 14 15 15 17 18 20
20 21 22 24 26 26 26 27 29 30
31 31 33 34 36 36 36 37 38 39
40 41 41 43 44 45 45 46 47 48
49 51 53 55 57 58 59 59 60 60
Consider the frequency table for the data:
A B C D
Interval Frequency Frequency Frequency Frequency
0,5 – 15,5 5 7 7 5
15,5 – 30,5 14 13 12 15
30,5 – 45,5 16 17 18 14
45,5 – 60,5 15 13 13 16
The column that represents the correct frequencies for the data is
[1] A
[2] B
[3] C
[4] D
A quality-control exercise was carried out by ChocCheer for estimating the percentage of defective chocolate
bars in a large shipment of 1 000 boxes with 100 bars in each box. Twenty boxes were chosen at random,
and every bar in them checked. The number of defective bars in each of the boxes are:
8, 10, 4, 3, 11, 6, 9, 10, 2, 7, 6, 12, 9, 11, 6, 3, 14, 9, 5, 4
Choose the CORRECT statement.
[1] The variable is the 1 000 boxes of chocolate bars.
[2] The sample unit 149.
[3] The sample is the 20 boxes of chocolate bars that were selected.
[4] The population is the 100 chocolate bars per box
1. Mr. Ronald Aquino is currently working on his thesis on the effectiveness of design
thinking methods in teaching statistics and probability using one-shot pretest-post test
design. Before the implementation of the design thinking methods, he administered a
pretest to 20 randomly selected grade 11 students. The same test was administered at
the end of the experiment to the same group of students. He wants to know whether the
design thinking methods is effective by determining whether a significant difference
exists between the pretest and post test scores of the students using 0.05 level of
significance; that is, Mr. Aquino desires to determine whether the post test scores of the
students are significantly higher than their pretest scores. The table below shows the
scores of the 20 students.
b. Are design thinking methods effective in enhancing the performance of senior high school
students in statistics and probability?
1. Mr. Ronald Aquino is currently working on his thesis on the effectiveness of design
thinking methods in teaching statistics and probability using one-shot pretest-post test
design. Before the implementation of the design thinking methods, he administered a
pretest to 20 randomly selected grade 11 students. The same test was administered at
the end of the experiment to the same group of students. He wants to know whether the
design thinking methods is effective by determining whether a significant difference
exists between the pretest and post test scores of the students using 0.05 level of
significance; that is, Mr. Aquino desires to determine whether the post test scores of the
students are significantly higher than their pretest scores. The table below shows the
scores of the 20 students.
a. Is there a significant difference between the pretest and post test scores of the 20
students?
1. A researcher wants to compare the performance of students living with their parents and
the performance of these students whose parents are working. Random samples were
taken from two normally distributed groups of population. 20 students who are living
with their parents posted an average grade of 89.25 with standard deviation of 2.4,
whereas the 15 randomly selected students whose parents are working abroad have an
average grade of 86.00 with standard deviation of 3.2. Test whether there is a significant
difference between the two groups of students at 0.05 level of significance.
ANSWER MY QUESTION QUICKLYDEADLINE : 04/1/2022
The probability to win a fund raising lottery is 0.3. What is the probability that exactly 2 out of 5 tickets win?
1. Louie wants to estimate the average value of the lot in his town with 99% confidence interval. Use his random sample of 36 lots with an average value of Php251, 131.42 and a standard deviation of Php1 321.467 to find the confidence interval.
2. A survey conducted for 200 students to determine if they need financial assistance in their studies, it found out that 168 of them needed this assistance. Find the 90% confidence interval for the population proportion of students needing loans or scholarships.
