Question

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 = 111
• q1 = 194
• median = 259
• q3 = 327
• max = 429

1. about ______ percent of the chicks weigh more than 194.
2. about ______ percent of the chicks weigh more than 259.
3. about ______ percent of the chicks weigh more than 327.
4. about ______ percent of the chicks weigh between 194 and 327.

Explanation:

Step1: Interpret Q1 for question 1

Q1 (194) is the 25th percentile, so the percentage of chicks weighing more than 194 is $100\% - 25\% = 75\%$.

Step2: Interpret median for question 2

Median (259) is the 50th percentile, so the percentage of chicks weighing more than 259 is $100\% - 50\% = 50\%$.

Step3: Interpret Q3 for question 3

Q3 (327) is the 75th percentile, so the percentage of chicks weighing more than 327 is $100\% - 75\% = 25\%$.

Step4: Calculate range between Q1 and Q3

The percentage of chicks between Q1 (194) and Q3 (327) is $75\% - 25\% = 50\%$.

Answer:

1. 75
2. 50
3. 25
4. 50