Question

bility < 2 of 8 Thinking About the Mean If five data points have a mean value of 3, what must be true about any, or all of the points? Share with Class 10 20 30

Answer 1

1 It tive data points have a mean value of 3, what must be true about any, or all of the points? 2) How are the calculations for mean and median similar ? How are they different? 3) Under what conditions could the mean and median of a data set be equal? + If your height was included in a data set of heights of 30 students, do you think the variability would increase or decrease ? Explain your thinking.

Answers Mean is the central value of a discrete set of numbers. Here 3 is the (1/5).th of the sum of all tive values. We can use the mean to describe the sample with a single value That is we can say that the average of these 5 values is 3 (mean)). Mean is a standard measure of the center of the distribution of the data. That is we can say that some values are smaller than 3 and some other values. are larger than three. Otherwise all values are 3. There fore there are two possibilities. 1. all values are 3. et 2. Some values are less than 3 and some other values are greater than or equal to 3. 2) Mean and median are measures of central Do Mean: het X., X ... Xn be n values tendency then mean - I & X

Median: Let X, X,... Xn be a values. cases:n odd. arrange X, in inereasing order. x ² X 0,² ... EX n +1 ... EX (m) Then median = xml) case 2 : it is even Then, median = + (x) + X (2+1) Mean and median are measures of central tendency. But unusual values called outliers attect the median less than they attect the mean. When Median is certainly the middle point in the dataset. Furthermode one half of the data points are smaller than the median and the other half of the data points are larger. 3) If the dat is symmetsic then the mean and median are same. 4) With the given intormation we can't say whether the variability increase or decrease.

Ulasa The variability will decrease when the new value is within Jiltyn) standard deviations of the mean, it will increase when the new value is further than this from the mean, and will stay the same otherwise. Here 1=5.
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