Warm-upDay 1 of Ch.1 and Ch. 2 Review

Mean: _____ St. Dev.:____ Median: ____

Student of the day!Block 1

Student of the day!Block 2

Answers to Normal Distribution Worksheet 1

Part A – 1) 68% 2) normalcdf (0, 40, 52, 7) = 4.3% 3) normalcdf(45,45.99,52,7) = 0.037 = 3.7% ORnormalpdf(45,52,7) =0.0345 = 3.5%4) normalcdf (60, 200, 52, 7) = 12.7% Part B – 1) Both graphs would have a normal distribution, butthe density curve for B would be taller and less wide due tothe smaller standard deviation. The center would be slightlymore to the right because the mean for B is 54 in comparisonto 52 for A. 2) 0.3% 3) 11.5% 4) 80.5%

Normal Distribution Worksheet 21) 1.98%

2) 1.15%

3) 10% are borderline hypertensive10.6% are hypertensive.

Z-scoreZ-scores (for normal distribution) describe how manystandard deviations (σ) a piece of data is from themean(μ).

The z-score can also be used to find the proportion ofvalues above or below the z-score using normalcdf (z-score of LB, z-score of UB)

invNorm can find the z-score when the percentile is giveninvNorm(percentile)

x

z

Practice with z-scores and finding proportions.1) A distribution of quiz scores has a mean of 35 andan standard deviations of of 4. Sara received a 40. a) What is her z-score?b) What is her percentile rank compared to the restof the class?

2) In a normal distribution with mean 25 and standarddeviation 7, what proportion of the data are less than 20?

Notebook Check and Textbook Review

Worksheet #3pg 24 and 25 AP #1 – 5; pg 96 E#75 – 79. • 1.0 Types of Data and Graphs +• 1.1 Data Exploration• 1.2 Intro. to Summary Statistics• 2.1 Visualizing Distributions • 2.2 Graph Displays of Dist.• 2.3 Measures of Center• 2.4 Summary Statistics• 2.1 to 2.4 Bingo• 2.5 Normal Distribution +• Worksheet 3 and 4 +Notes with warm-up 11 pts =77pts (8pts notes, 3 pts warm-up = 11)Ch. 2 Definitions ( 20pts) + means warm-up on separate sheet

Work in Silence for 30 minutes.

This is a participation grade.

After the 30 minutes you can discuss the answers at your table before I put them up on the SmartBoard.

Worksheet #3 Solutions1. a) 99.8% b) 21.3%2. a) 91.4% b) above 23.5 cm c) below 22.1 d) between 23.5 and 22.1 cm3. a) 42.1% b) above 218.77 mg/dL4. a) 88.3% b) below 30.7 mg/dL5 a) 0.5% ; b) 24.5 oz c) Q1 = 20.7 oz, Q3 = 28.2 oz

IQR = 7.5 oz

pg 24 and 25 AP #1 – 5AP1. BAP2. EAP3. BAP4. AAP5.

Pg 24 AP5 continued..

pg 96 E#75 – 79

Common Quiz Mistakes

• Describe the distribution, always answer in sentences and remember SOCS.

• Don’t forget titles on your data displays every time.

• For the o-give or cumulative frequency graphs.The first dot at zero means no data is there. Alwaysgo to the next dot to see where the data begins.There were zero golfers age zero at the tournament. The youngest golfers were 19 yrs old.