Does the frequency distribution show a normal shape? Analyze the data: Temperature (°F): 50-54 (1), 55-59 (2), 60-64 (10), 65-69 (14), 70-74 (10), 75-79 (2), 80-84 (1).
Given the frequency distribution, find the mean, variance, and standard deviation, rounding to two decimal places. Classes: 2−6 (5), 7−11 (6), 12−16 (8), 17−21 (3).
asures of spread
Question 11, 3.2-2
HW Score: 4
Points: Find the variance for the given sample data. Round your answer to one more decimal place than the original data.
77251
A. 7.8
B. 6.2
C. 11.8
D. 7.7
Kaden scored 78.8 in English (mean 73.9, SD 10.4) and Katelyn scored 68.8 in Social Studies (mean 66.9, SD 11.1). Find their z-scores. a) Kaden's z-score: z=
b) Katelyn's z-score: z=
c) Who did better? Kaden, Katelyn, or equally well?
Suspension Bridges The lengths (in feet) of the main span of the longest suspension bridges in the United States and the rest of the world are shown below. Which set of data is more variable?
\begin{tabular}{cllllllll}
United States & 4205 & 4200 & 3800 & 3500 & 3478 & 2800 & 2800 & 2310 \\
World & 6570 & 5538 & 5328 & 4888 & 4626 & 4544 & 4518 & 3970
\end{tabular} Send data to Excel Part: 0 / 2 Part 1 of 2
N-GEN MATH sed 7 HOMEWORK
Fluency 1. For each data set below find the first and third quartiles and find the interquartile range, whic is calculated using Q3−Q1. Label each statistic that you find.
(a) 9,11,15,18,22,22,25,27,30
(b) 25,32,34,37,41,48,52,55,55,58
(c) 14,14,17,19,19,20,23,25,29,30,32,32,35,36,40,41 2. Which of the following is the third quartile value for the data set below.
71,74,78,82,82,85,86,86,88,92,94,98
(1) 86
(3) 92
(2) 90
(4) 98 3. Which of the following is the interquartile range of the data set shown below?
(1) 9
(3) 14
(2) 11.5
(4) 19
12,14,16,16,19,20,23,25,31 N-Gen Mate 7, Unit 7-Statistics-Lesson 2 eMATHinstruction, Red Hook, NY 12571, 02020
317
QUESTION Donna attends a fashion institute that has no on-campus housing. The distance she commutes between her home and the campus is 15 kilometers. The mean distance commuted to campus among all students at the fashion institute is 26 kilometers with a standard deviation of 9 kilometers.
(a) Find the z-score of Donna's commute distance relative to the commute distances among all the students at the institute. Round your answer to two decimal places.
z=□
(b) Fill in the blanks to interpret the z-score of Donna's commute distance. Make sure to express your answer in terms of a positive number of standard deviations. Donna's commute distance is □ standard deviations □ (Choose one) the mean commute distance among all students at the institute.
EXPLANATION
Find the z-scores for a woman and a man both 5.5 feet tall using the given means and standard deviations. Round to two decimal places. zwoman=stdwomanheight−meanwoman zman=stdmanheight−meanman
79. For a normally distributed population with mean 0 and standard deviation 1,0 , the population interquartile range is closest to which of the following values?
a. 0.50
b. 1.28
- 1.349
d. 1.645
e. 1.96
Here are the scores of 13 students on an algebra test.
59,63,68,68,77,79,81,82,83,86,88,90,92 Notice that the scores are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
\begin{tabular}{|l|}
\hline \multicolumn{1}{|l|}{ Five-number summary } \\
Minimum: \\
Lower quartile: \\
Median: \\
Upper quartile: \\
Maximum: \\
\hline Interquartile range: \\
\hline
\end{tabular}
How many standard deviations is Tyler's 11 pounds of sugar from the mean of 5 pounds with a standard deviation of 1.1 pounds? Round to two decimal places.
Percentiles The weights (in pounds) of 20 preschool children are
39,42,25,46,40,23,43,35,30,32,31,50,26,34,41,21,47,27,48,22
Send data to calculator
Send data to Excel Find 10th and 75th percentiles for these weights.
(If necessary, consult a list of formulas.)
(a) The 10th percentile: II pounds
(b) The 75th percentile: □ pounds
Explanation
Check
- 10. On a physical fitness test middle school boys are awarded one point for each push-up they can do, and a point for each sit-up. National results showed that boys average 18 pushups with a standard deviation of 4 push-ups, and 34 sit-ups with standard deviation 11 . The mean of their combined (total) scores was therefore 18+34=52 points. What is the standard deviation of their combined scores?
A) 5.3
B) 11.7
C) 15
D) 137
E) It cannot be determined 11. Traffic accidents Police reports about the traffic accidents they investigated last year indicated that 40% of the accidents involved speeding, 25% involved alcohol, and 10% involved both risk factors.
a. What is the probability that an accident
b. Do these two risk factors appear to be involved neither alcohol nor speed? independent? Explain.
) The following distribution shows the exam scores for all students in a statistics class.
a. Complete the table above.
b. Draw a histogram.
c. Find the mean with one decimal place.
d. Find the standard derivation with one decimal place.
e. Interpret the shape of the distribution. (Hint: skewed to the left, skewed to the right, or
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes.
\begin{tabular}{|c|c|c|c|c|c|}
\hline Approximate Value & Exact Value & Error & Absolute Error & Ratio & Percent Error \\
\hline$100 & $75 & $25 & & & \\
\hline
\end{tabular} How much was the absolute error in his estimate?
\\square$
Completing the Steps in a lable
\begin{tabular}{|c|c|}
\hline Approximate value & a \\
\hline Exact value & b \\
\hline Absolute error & c \\
\hline Ratio & d \\
\hline Percenterror & e \\
\hline
\end{tabular} A survey indicates that there are approximately 120 dairy farms in a given area. If there are exactly 400 farms, and exactly 20% of them are dairy farms, what is the percent error? Fill in the table below.
a=✓✓b=✓✓c=✓✓d=✓✓ec=□✓
Unit 3
17) Scientists want to find out if playing video games with violent content makes kids more prone to violar behavior. The scientists might have children come into a lab and have a certain number play a highty, violent video game, another group play a somewhat violent video game, and then a last group play a game with no violence. The scientists would then watch the kids play with other children and record any violent behavior. This is an example of an study.
a. experimental
b. observational
18) The average size sultcase that can fit under an airplane seat is 15.25 inches. The margin of error is ±2.5 inches. Which of the following would not fit under the airplane seat?
a. 12.5
b. 13
c. 17
d. 17.5 For \#19-20 indicate which sampling technique is described.
19) Kevin wants to find out the opinions of college students about the availability of parking spaces. He surveys students as they walk by his car.
a. simple random
b. stratified random
c. systematic random
d. cluster
e. convenience
20) A teacher wants to survey 10 of her 30 students. She places their names on popsicle sticks and draws the sticks out of the cup to see who will take the survey.
a. simple random
b. stratified random
c. systematic random
d. cluster
e. convenience
21) Is this question an Open Question or a Closed Question: What is your favorite flavor of ice cream?
a. Open Question
b. Closed Question For \#22-23 use the table that represents the average number of inches of precipitation per month in Seattle to answer the questions.
\begin{tabular}{|c|c|}
\hline Month & \begin{tabular}{c}
Average Rainfall per \\
Month (inches)
\end{tabular} \\
\hline January & 4.81 \\
\hline February & 3.43 \\
\hline March & 3.51 \\
\hline April & 2.77 \\
\hline May & 2.16 \\
\hline June & 1.63 \\
\hline July & 0.79 \\
\hline August & 0.97 \\
\hline September & 1.52 \\
\hline October & 3.41 \\
\hline November & 7.05 \\
\hline December & 5.85 \\
\hline
\end{tabular}
22) What is the median of the data?
a. 3.16
b. 3.09
c. 4.16
d. 1.56
23) What is the IQR of the data?
a. 4.16
b. 1.56
c. 2.59
d. 3.16
State the range for the set of points.
{(−40,−105),(2,84),(−62,71),(30,−94),(−20,71),(−40,−110)}
Range ={−105,−110,−94,71,30}
Range ={−62,−110,−94,71,84}
Range ={−105,−40,−94,71,84}
Range ={−110,−105,−94,71,84}
The box plot represents the number of minutes customers spend on hold when calling a company.
Number of Minutes Spent on Hold What is the upper quartile of the data?
3
5
6
8
Mark this and return
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The data set below has a lower quartile of 13 and an upper quartile of 37 .
1,12,13,15,18,20,35,37,40,78 Which statement is true about any outliers of the data set?
The data set does not have any outliers.
The lowest value, 1 , is the only outlier.
The greatest value, 78 , is the only outlier.
Both 1 and 78 are outliers.
Given data: n=6, values: 6, 3, 8, 6, 4, 13. a. Find mean, median, mode.
b. Find range, variance, standard deviation, coefficient of variation.
c. Compute Z scores and identify outliers.
d. Describe data shape.
S<=12.666, S=3.559, CV=□.
The box plots show the grades in Calculus from 2 cities. Final Grades AP Caclulus 2011-2021 Edmonton
a. Which city had a larger Interquartile Range (IQR)?
b. What was the maximum score Edmonton?
c. What was the maximum scor Calgary?
d. 50% of scores for both cities under the number...
e. 25% of scores for both citie under the number...