An experiment was conducted to measure the effectiveness of various feed supplements on the growth rate of chickens. A five number summary of the weights of the chicks in grams six weeks after hatching is as follows. Source: Anonymous (1948) Biometrika, 35, 214.
Min = 108
Q1 = 197
Median = 259
Q3 = 315
Max = 410
About percent of the chicks weigh more than 197.
About percent of the chicks weigh more than 259.
About percent of the chicks weigh more than 315.
About percent of the chicks weigh between 197 and 315.
Quartile divide the data into four equal parts.
first qurtile= Q1 = 197
second quartile = median = 259
Third quartile = Q3 = 315
1) Since 25% data are less than Q1,
So that 100 - 25 = 75% data is more than Q1 = 197.
About 75 percent of the chicks weigh more than 197.
2) Since 50% data are less than the median
So that 100 - 50 = 50% data is more than the median.
About 50 percent of the chicks weigh more than 259.
3) Since 75% data are less than the Q3
So that 100 - 75 = 25% data is more than the Q3.
About 25 percent of the chicks weigh more than 315.
4) From 1 and 3, we get 75 - 25 = 50% data lies between Q1 and Q3
About 50 percent of the chicks weigh between 197 and 315.
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