Question

question 1 (1 point)
the data set represents the number of eggs produced by a small group of chickens each day for ten days: 7, 7, 7, 7, 7, 8, 8, 8, 8, 9. select all the values that could represent the typical number of eggs produced in a day.
□ a 7.6 eggs
□ b 7.7 eggs
□ c 7.5 eggs
□ d 9 eggs
□ e 8 eggs

Explanation:

Step1: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Here $n = 10$, and $\sum_{i=1}^{10}x_{i}=7\times5 + 8\times4+9\times1=35 + 32+9 = 76$. So $\bar{x}=\frac{76}{10}=7.6$.

Step2: Find the median

Arrange the data in ascending - order: 7, 7, 7, 7, 7, 8, 8, 8, 8, 9. Since $n = 10$ (an even number), the median is the average of the 5th and 6th ordered values. So the median is $\frac{7 + 8}{2}=7.5$.

Step3: Determine the mode

The mode is the most frequently - occurring value. Here, 7 and 8 both occur 5 and 4 times respectively, so 7 and 8 are modes.

Answer:

A. 7.6 eggs
C. 7.5 eggs
E. 8 eggs