Question 4 - Figure it out - Page 112, 113 - Chapter 5 Class 7 - Connecting the Dots... (Ganita Prakash II)

Transcript

Question 4 (a) The daily water usage from a tap was measured. The usage in liters for the first few days are: 5.6, 8, 3.09, 12.9, 6.5, 12.1, 11.3, 20.5, 7.4. (a) Can the mean or median daily usage lie between 25 and 30? Justify your claim using the meaning of mean and median.Putting Data in Ascending order 3.09, 5.6, 6.5, 7, 8, 11.3, 12.1, 12.9, 20.5 Now, we answer our question No, the mean or median cannot lie between 25 and 30 Reason: The mean and median must always be somewhere in the middle of your data. The lowest number is 3.09 and the highest is 20.5 . We cannot have an average that is bigger than our largest number! Question 4 (b) The daily water usage from a tap was measured. The usage in liters (b) Can the mean or median be lesser than the minimum value or greater than the maximum value in a data?No. Reason: "Mean" and "Median" are measures of central tendency. They try to find the center. The center cannot be outside the edges (minimum and maximum) of the data.