Mathematics 7 Summative Test 4th Quarter

C 1. It refers to the number of times an observation occur or appears in a data set. 

    C. Frequency

D 2. It is used to present data in a most systematic and organized manner.

    D. table

A 3. It is  the tabular method of organizing data.

    A. frequency distribution table

D 4. It is the difference between the highest and the lowest values.

    D. range

C 5. The following is/are the properties of an effective table.

    I. The date of the survey is indicated.

    IV. The data are arranged systematically in columns and properly labeled.

For items 6 - 10.

    Pelmar opened a pack of marbles. He found out that there are 15 red, 10 blue, 7 orange, 7 yellow, 13 green and 8 purple marbles.

B 6. Which of the following is the correct Frequency Distribution Table of the given data?

    B.  Color        Frequency

          red                 15

          Green            13

         Blue                10

         purple              8

         orange             7

         yellow              7

C 7. Which of the following is the appropriate title of the distribution table?

    C. Frequency Distribution Table of Pelmar's Marbles

D 8. What is the total number of marbles?

    D. 60

C 9. Which color has the highest number of marbles?

    C. red

D 10. Which color has the least number of marbles/

    D. yellow     

For Items 11 - 15.

A certain school conducted a survey of 50 students for their preferred learning modalities for the school year 2020-2021. The results are as follows: 40 enrolled for modular, 8 enrolled for online learning, and 2 enrolled for TV/Radio-Based learning.

A 11. Which of the following is the correct Frequency Distribution Table for the given data?

    A.    Learning Modalities        Number of Students

                Modular                                    40

                Online                                         8

                Radio/TV                                    2

D 12. Which of the following is the appropriate title of the Frequency Distribution Table?

    D. Frequency Distribution Table of the Preferred Learning Modalities for School Year 2020-2021

A 13. What learning modalities has the highest number of enrollees?

    A. Modular

C 14. What learning modality has the lowest number of votes in the survey?

    C. TV/Radio

C 15. What is the difference between the highest and the lowest number of enrollees?

    C. 38

D 16. It is used to present data in a most systematic and organized manner.

    D. table

C 17. It refers to the number of times an observation occurs or appears in a data set.

    C. frequency

A 18. These are generally equal in width and are non-overlapping from each other.

    A. class intervals

C 19. It is the science of collecting, organizing, interpreting and analyzing data.

    C. Statistics

B 20. It is the number  of times can observation or a particular value appears in a data set.

    B. Frequency 

Class mark 21. In a class interval, the middle score is called _______.

Frequency 22. The number of times a particular observation appears in a data set.

B 23. What is the pictorial representation of a statistical data?

    B. Graph

    

A 24. What graph is illustrated below?

(Image from Bar Graphs (mathsisfun.com))

    A. Bar Graph

C 25. Which of the graphs is used to present data that indicate trends over a period of time?

    C. Line Graph

For questions 26 - 28, refer your answer in the illustration below:

                                   

        

D 26. What type of graph is represented in the illustration above?

    

    D. Pie Chart

A 27. What color is the most favored? 

    A. Blue

B 28. What percent of students chose red as the third frequency of colored T-shirts?

    B. 25.2%

C 29. What type of information does a histogram show?

    C. frequency

D 30. Pi (π) is a special symbol whose value is used to find the area of a circle. The following number gives the first 100 digits of the number pi:

 

3.141 592 653 589 793 238 462 643 383 279 502 884 197 169 399 375 105 820 974 944 592 307 816 406 286 208 998 628 034 825 342 117 067

Which digit from 0 to 9 occurs most frequent in this number?

    D. 9

D 31. Which kind of graph below is also known as cumulative frequency polygon?

    D. ogive

A 32. What is a cumulative frequency?

    A. It is the running total of frequencies. 

B 33. Which of the following is the correct entry for the cumulative frequency column in the table given below?

Marks                        Frequency                    Cumulative Frequency

0-5                                    2                                            2

5-10                                  10                                        12

10-15                                 5                                         17

15-20                                 5                                         22

    B. 2, 12, 17, 22

For numbers 34-35, refer to the given graph below:

The histogram shows the heights of 25 students in Grade-7 class, grouped into widths of 5 inches.

B 34. How many students are greater than or equal to 150 inches tall?

    B. 12

C 35. How many students are greater than or equal to 140 inches tall but less than 160?

    C. 22

36. What is an ogive graph?

    D. Cumulative Frequency Graph

37. Which occurs the most frequent in the following tongue twister?

    SHE SELLS SEASHELLS BY THE SEASHORE.

    D. S

38. Which of the following is an ogive graph?

    A.

39. Based on the table below, how many days had rained in the past six months?

            Record of the Number of Days with Rain in a Month

           Month                                    Number of Days with Rain

                1                                                            II

                2                                                        IIII - I

                3                                                           IIII 

                4                                                            II

                5                                                             I

                6                                                IIII - IIII - IIII - IIII 

    C. 35

    40. Which of the following is a graphical display of data using bars of different heights that are joined together?

    B. Histogram

The Definition of Differentiation/Ang Kahulugan ng Differentiation

The essence of calculus is the derivative. The derivative is the instantaneous rate of change of a function with respect to one of its variables. This is equivalent to finding the slope of the tangent line to the function at a point.

(Ang kakanyahan ng calculus ay ang derivative. Ang derivative ay ang agarang rate ng pagbabago ng isang function na may kaugnayan sa isa sa mga variable nito. Ito ay katumbas ng paghahanap ng slope ng tangent line sa function sa isang punto.)

We want to find the slope of the tangent line to a graph at the point P. We can approximate the slope by drawing a line through the point P and another point nearby, and then finding the slope of that line, called a secant line. The slope of a line is determined using the following formula (m represents slope) :

(Nais nating hanapin ang slope ng tangent line sa isang graph sa puntong P. Maaari nating tantiyahin ang slope sa pamamagitan ng pagguhit ng linya sa puntong P at isa pang punto sa malapit dito, at pagkatapos ay hanapin ang slope ng linyang iyon, na tinatawag na secant line. Ang slope ng isang linya ay tinutukoy gamit ang sumusunod na formula (ang m ay kumakatawan sa slope):)

Let P = (x,y) and Q := (a,b). Let

Then the slope of the line

What we want to do is decrease the size of Delta-x as much as possible. We do this by taking the limit as Delta-x approaches zero. In the limit, assuming the limit exists, we will find the exact slope of the tangent line to the curve at the given point. This value is the derivative;

(Ang gusto nating gawin ay bawasan ang laki ng Delta-x hangga't maaari. Ginagawa natin ito sa pamamagitan ng pagkuha ng limitasyon habang ang Delta-x ay lumalapit sa zero. Sa limitasyon, sa pag-aakalang umiiral ang limitasyon, makikita natin ang eksaktong slope ng padaplis na linya patungo sa kurba sa ibinigay na punto. Ang halagang ito ay ang derivative;)

There are a few different, but equivalent, versions of this definition. In more general considerations, h is often used in place of Delta-x. Or Delta-y is used in place of 

(Mayroong ilang iba't ibang, ngunit katumbas, na mga bersyon ng kahulugang ito. Sa mas pangkalahatang pagsasaalang-alang, ang h ay kadalasang ginagamit bilang kapalit ng Delta-x. O Delta-y ay ginagamit sa halip ng

This leads to three commonly used ways of expressing the definition of the derivative: (Ito ay humahantong sa tatlong karaniwang ginagamit na paraan ng pagpapahayag ng kahulugan ng derivative:)

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