Question

1. a set of data has a standard deviation of 0, and one of the data values is 14. what can you say about the data values? (from unit 1) 9. a zookeeper is preparing to care for snakes in an exhibit. for each question, write an expression representing the supplies needed. a. the zookeeper needs 4.5 ounces of crickets for each snake. how many ounces of crickets are needed if the number of snakes is: 10 6 x b. there is one male snake, and the rest are female. the zookeeper needs one vitamin pill for every female snake. how many vitamin pills does she need if the number of snakes is: 10 6 x

Explanation:

Step1: Analyze standard - deviation for question 8

The formula for standard deviation \(\sigma=\sqrt{\frac{\sum_{i = 1}^{n}(x_{i}-\overline{x})^{2}}{n}}\). If \(\sigma = 0\), then \(\sum_{i = 1}^{n}(x_{i}-\overline{x})^{2}=0\). This implies \(x_{i}=\overline{x}\) for all \(i\). Since one value is 14, all data values are 14.

Step2: Solve part a of question 9

If 4.5 ounces of crickets are needed per snake, when the number of snakes is \(n\), the amount of crickets \(C\) is given by \(C = 4.5n\).

• When \(n = 10\), \(C=4.5\times10 = 45\) ounces.
• When \(n = 6\), \(C=4.5\times6 = 27\) ounces.
• When \(n=x\), \(C = 4.5x\) ounces.

Step3: Solve part b of question 9

If there is 1 male snake and \(n\) is the total number of snakes, the number of female snakes is \(n - 1\). The number of vitamin - pills \(V\) needed is \(V=n - 1\).

• When \(n = 10\), \(V=10 - 1=9\) pills.
• When \(n = 6\), \(V=6 - 1 = 5\) pills.
• When \(n=x\), \(V=x - 1\) pills.

Answer:

1. All data values are 14.

9.
a.

• For 10 snakes: 45 ounces
• For 6 snakes: 27 ounces
• For \(x\) snakes: \(4.5x\) ounces

b.

• For 10 snakes: 9 pills
• For 6 snakes: 5 pills
• For \(x\) snakes: \(x - 1\) pills