Answer the following questions choose the letter that corresponds to the correct answer 1 theodoro

W3Learning AreaMathematicsGrade Level10QuarterFourthDateI. LESSON TITLEINTERPRETING MEASURES OF POSITIONII. MOST ESSENTIAL LEARNINGCOMPETENCIES (MELCs)The learner interprets measures of position.(M10SP-IVc-1)III. CONTENT/CORE CONTENTInterpreting a measure of positionIV. LEARNING PHASES AND LEARNING ACTIVITIESA.Introduction (Time Frame: 20 minutes)Learning Objectives:At the end of the lesson, you are able to:a. recognize the connection between the definition of a measure of position and itsinterpretation in a given distribution ;b. interpret a particular measure of position in a distribution; andc. appreciate the importance of interpretation of measure of position in real lifesituations.Consider the situation below.Mrs. Rosales gave a 10-item Math quiz to her advisory class. Based on the result, 4 is the median of the scores. Whatdoes it mean?Explanation: It means that 50% of the students got scores less than or equal to 4. In addition, the other 50% of the class gotscores greater than 4. It comes from the definition of median as the middlemost value in a set of data.Since median has its equivalents in measures of position, namely, in quartiles, in deciles, and in percentiles, thenmeasures of position can also be interpreted the same way the median is interpreted.Study the text that follows.B.Development (Time Frame: 40 minutes)INTERPRETATION OF MEASURES OF POSITIONQuartilesDecilesPercentiles•25% of the distribution hasa value less than or equalto the first quartile (?1).•50% or one-half of thedistribution has a valueless than or equal to thesecond quartile (?2).•75% of the distribution hasa value less than or equalto the third quartile (?3).•10% of the distribution has avalue less than or equal to thefirst decile (𝐷1).•20% of the distribution has avalue less than or equal to thesecond decile (𝐷2).•30% of the distribution has avalue less than or equal to thethird decile (𝐷3).NOTE: The connection between decilesand percentiles is that the first decile𝐷1is the 10thpercentile; the second decileis the 20thpercentile; the third decile isthe 30thpercentile, and so on.

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Algebra

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High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively sta- ble, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received 2851 applications for early admission. Of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. In the past, this school has admitted 18$\%$ of the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375 . Let $E, R,$ and $D$ represent the events that a student who applies, for early admission is admitted early, rejected outright, or deferred to the regular admis- sions pool. $$\begin{array}{l}{\text { a. Use the data to estimate } P(E), P(R), \text { and } P(D) \text { . }} \\ {\text { b. Are events } E \text { and } D \text { mutually exclusive? Find } P(E \cap D) \text { . }}\end{array}$$ $\begin{array}{l}{\text { c. For the } 2375 \text { students that were admitted, what is the probability that a randomly }} \\ {\text { selected student was accepted during early admission? }}\end{array}$ d. Suppose a student applies for early admission. What is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?