Question

2 the data set represents the number of eggs produced by a small group of chickens each day for 10 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 7.5 eggs b 7.6 eggs c 7.7 eggs d 8 eggs e 9 eggs

Explanation:

Step1: Calculate the mean

The data set is \(7,7,7,7,7,8,8,8,8,9\). The sum of the data is \(7\times5 + 8\times4+9=35 + 32+9 = 76\). The mean is \(\frac{76}{10}=7.6\).

Step2: Find the median

Arrange the data in ascending - order: \(7,7,7,7,7,8,8,8,8,9\). There are 10 data points. The median is the average of the 5th and 6th values. So, the median is \(\frac{7 + 8}{2}=7.5\).

Step3: Find the mode

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

The values that could represent the typical number of eggs (either mean, median or mode) are 7.5, 7.6 and 8.

Answer:

A. 7.5 eggs, B. 7.6 eggs, D. 8 eggs