Lesson 4 Wow, That’s Weird! Practice Understanding

Ready

The data shown is the data from Mrs. Hernández’s class. Students needed to score $60 %$ or better to pass the test.

1st hour	$72$ , $83$ , $56$ , $63$ , $89$ , $92$ , $92$ , $67$ , $88$ , $84$ , $67$ , $97$ , $96$ , $100$ , $84$ , $82$
2nd hour	$80$ , $83$ , $81$ , $81$ , $67$ , $90$ , $70$ , $71$ , $72$ , $77$ , $81$ , $85$ , $86$ , $77$ , $74$ , $51$
3rd hour	$51$ , $45$ , $67$ , $83$ , $99$ , $100$ , $94$ , $52$ , $48$ , $46$ , $100$ , $59$ , $65$ , $56$ , $72$ , $63$

1.

Make a two-way frequency table showing how many students passed the test and how many failed each class.

	1st	2nd	3rd	Total
Passed
Failed
Total

2.

What percent of students passed Mrs. Hernández’s test in each class? What is the total percent of all classes that passed?

1st hour:

2nd hour:

3rd hour:

Overall:

3.

Combine the data from all three classes to create a histogram using technology.

a.

Sketch your histogram.

b.

What features of the normal curve does your histogram have?

4.

If Mrs. Hernández was going to predict her total pass rate using only $2 nd$ hour, would she make an accurate prediction? Explain why or why not.

Set

Five track athletes are in the running for the Athletic Performance of the Year award. A panel of coaches is trying to decide which athlete is the most deserving to win the award. Rank each athlete below by the given information. Assume all distributions follow a normal curve.

5.

Javier threw the javelin $215 ft$ . The average javelin throw is $152.08 ft$ with a standard deviation of $15.85 ft$ .

6.

Payton ran a $400 -m$ time of $46.99 seconds$ . The average $400 -m$ time was $52.6$ , with a standard deviation of $1.01 seconds$ .

7.

Alex ran a $36.26 s$ time in the $300 -m$ hurdles. The average time was $41.77$ with a standard deviation of $1.49 seconds$ .

8.

Florence ran a $100 -m$ time of $10.59 seconds$ . The average time was $11.603 seconds$ with a standard deviation of $0.29 seconds$ .

9.

Gabrielle threw the discus $180 ft$ . The average throw was $122.4 ft$ with a standard deviation of $14.38 ft$ .

Go

Solve each equation for $x$ by applying properties of exponents and logarithms.

10.

$2^{x - 5} = 128$

11.

${(\frac{1}{243})}^{x} = 27$

12.

$3^{x + 2} = 27^{x - 3}$

13.

$\log (2 x + 4) - \log (3 x) = 0$

14.

$\log_{2} (2 x^{2} - 4 x + 2) - \log_{2} 10 = 0$

15.

$\frac{\ln (x + 7)}{\ln (2 x - 3)} = 1$

16.

$\frac{\log (4 x + 2)}{\log 15} = 1$

17.

$\frac{\log_{3} (3 x + 6)}{\log_{3} 81} = 1$