ANSWER THE ACTIVITY

Grade & Seathin LAN WT JANHIL MI RAGHUISE MAT COMaREALLY JOHANNAHY.ACHOURS Yall Macmillan Publishing Company, pp.143-IS UNDERSTANDING NORMAL DISTRIBUTION A normal distributing is a continuous probability distribution for a random varyible. The grigk of s seema linnbution t called the name of rape, The opinion of the moral curie with a new pads wa ded devisinga Based on the equirun of die normal curve, the appracinos of at the left Fitin 1. The Normal Curve Understanding Mean and Standard Deviation Normal distribution can have any mesh anil any positive standard deviation. These two parameters, A and o, defermink the diape at the normal curve. The mean gives the location of the line of symmetry, and the standard deviation describes how much dic data are spread out Figure I shows some examples of normal curve with different means and standard deviations Normal curve (A) shows a minimal standard deviation, Consider the given figure above, one of the inflection (B) with medium standard deviation, and (() with a points oucur one standard devimon to the left of the mean large standard deviation. Nomial curves (A) and (C) whid the other occur one vundard deviation to the right of have the same means, and (B) with a large mean. the mean, Properties of Normal Distribution: 1. The distribution curve is bell shape. 2. The curve is symmetrical about its center. 3. The mean, the malian, and the mode coincide at the center of the distribution 4. The width of the curve is determined by the standard deviation of the distribution. 5. The curve is asymptotic with respect to the s-axis, as it extends father and farther away from the mean 6. The total area under the normal curve is equal to 1. Example: Questions: 1. Which normal curve has a greater mean? 2. Which normal curve has a greater standard deviation? Solutions 1. The line of symmetry of curve 4 occurs atax - 15. The line of symmetry of curve B occurs at x - 12. So, curve A has a greater mean 2. Curve B is more spread out than curve f. So, curve & has a greater standard deviation ACTIVITY: Consider the given figure below and answer the following questions. Questions: 1. Which of the following illustrates a normal curve distribution? 2. Which normal curve has a greater mean? Explain your answer 3. Which normal curve has a greater standard deviation? Explain your answer. 4. Compare the means of d and C. Compare the standard deviations of of and B