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Compute for the mean, the median, and the mode of each set of ungrouped data. Write your answer on the table below.



1.) 12, 31, 29, 6, 10, 8, 13, 27, 24, 16


2.) 52, 52, 52, 50, 55, 50, 57, 49, 60, 49, 62


3.) 35, 42, 36, 40, 49, 33, 39, 37, 44, 28, 43


4.) 62, 49, 60, 49, 57, 50, 55, 50, 52, 52, 52


5.) 11, 30, 28, 5, 9, 7, 12, 26, 23, 15

A data compression software utilizes various steps to compress a string of data. One of the steps involves finding the count of characters that are not repeated on the string





Let A be the set of words containing the letter s, and let B be

the set of words containing the letter t.

Express the following set as a combination of sets A and B.

a. The set of words that do not contain the letter s

b. The set of words containing the letter s and the letter t

c. The set of words containing an s, but not a t

d. The set of words that do not contain the letters s and t

e. The set of words containing the letter s or t, but not both


Check the validity of the following conclusions:

a. If it rains, ice sales decrease. The day didn't rain. Therefore, the result

ice sales are not decreasing

b. If the sale of ice decreases, then it is a rainy day. The day didn't rain. Hence the result

ice sales down

c. If the sale of ice does not decrease, the day does not rain. Ice sales decreased. By

because it was a rainy day.


Create 4 Variables use input function() (Name (string), Math Grade (float), Science Grade (float), English Grade (integer), Average (float)). Use input statement and display the result: 


Use Newton’s method to find solutions accurate to within 10^−4 for the following problems. a. x^3 − 2x^2 − 5 = 0, [1, 4] b. x^3 + 3x^2 − 1 = 0, [−3, −2] c. x − cos x = 0, [0, π/2] d. x − 0.8 − 0.2 sin x = 0, [0, π/2]

A uniform electric field E = 5000 N/C passing through a flat square area A = 2m2. Determine the electric flux. Note: The angle between the electric field direction and a line drawn perpendicular to the area is 60 degree.

two positive point charges q are placed on the y-axis at y=a and y=-a. a negative point charge "-q" is located at some point in the +-axis.

Titration of 0.7865 g sample of pure potassium hydrogen phthalate requires 35.73 ml of NaOH solution. Calculate the molarity of the NaOH solution. This acid base reaction is:






NaOH+KHC8H4O4->NaKC8H4O4+H2O

Write a java program on hotels bookings ask the user for single room, double rooms, family of 6 room and the VIP room bookings the time and the cost must be included.


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