Chapter 2 Statistics Homework

Given the bar graph below,The Pareto chart that will best represent the data will have bars in the following order

Back, Knee, Shoulder,Neck, Wrist, Hip, Hand ,Elbow, Groin Back, Knee, Shoulder, Wrist, Hip, Hand ,Elbow, Groin, Neck Back, Knee, Shoulder,Groin, Wrist, Hip, Hand ,Elbow, Neck

For the following frequency distribution of exam scores, how many students had scores lower than X = 80?​ X f 90-94 3 85-89 4 80-84 5 75-79 2 70-74 1

A. 2 B. 3 C. 7 D. 8 Answer B

The following data represent community hospital admissions for hospitals with 100 to 499 beds during the year 2002.Find (a) the number of classes and (b) the class width.

A. 4 , 99 B. 4 , 100 C. 5 , 99 D. 5 , 99 Answer B

The data in the following table reflect the amount of time 40 students in a section of MATH 1829 spend on homework each day. Find the value of the missing entry. Homework Time (minutes) Relative Frequency 0-14 0.05 15-29 0.10 30-44 0.25 45-59 60-74 0.15 75-89 0.05

A. 40 B. 16 C. 0.40 D. 0.35 E. The value cannot be determined from the given data Answer C

For the following distribution, what is the width of each class interval?​ X f 20-24 2 15-19 5 10-14 4 5-9 1​

A. 4​ B. ​4.5 C. ​5 D. ​10 Answer C

Multiple Births The following data represent the number of live multiple births (three or more babies) in 2002 for women 15 to 44 years old. Find (a) the number of classes and (b) the class width.

A. 5 , 25 B. 5 , 4 C. 6 , 5 D. 6 , 44 Answer C

Determine the original set of data. 4 | 0157 5 | 22669 6 | 1447 7 | 089 8 | 0026 9 | 78

A. 56, 78, 98, 64, 56, 79, 80, 97, 47, 59, 67, 52, 41, 70, 82, 52, 40, 64, 61, 80 B. 56, 45, 78, 98, 64, 56, 79, 80, 97, 47, 59, 86, 67, 52, 41, 70, 82, 52, 40, 64, 61, 80 C. 98, 64, 56, 79, 80, 97, 47, 59,86, 67, 52, 2, 52, 40, 64, 61, 80 D. 56, 45, 78, 98, 64, 56, 79, 80, 97, 47, 59,86, 67, 52, 41, 70, 82 Answer B

The blood types for 40 people who agreed to participate in a medical study were as follows: O A A O O AB O B A O A O A B O O O AB A A A B O A A O O B O O O A O O A B O O A AB Construct a frequency distribution for the data.

A. Blood Type Frequency O 19 A 13 B 5 AB 3 B. Blood Type Frequency O 19 A 11 B 5 AB 2 C. Blood Type Frequency O 20 A 13 B 4 AB 3 D. Blood Type Frequency O 18 A 14 B 5 AB 3 Answer A

A ____________________ is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency.

A. Ogive B. Pareto chart C. Histogram D. Binomial Answer B

What is the difference between a bar chart and a histogram?

A. The bars on a bar chart do not touch while the bars of a histogram do touch. B. The bars in a bar chart may be of various widths while the bars of a histogram are all the same width. C. The bars in a bar chart are all the same width while the bars of a histogram may be of various widths. D. There is no difference between these two graphical displays. E. None of the above Answer A

The class width is the difference between.

A. The largest frequency and the smallest frequency B. The upper class limit and the lower class limit of a class C. The high and the low data values D. Two successive lower class limits Answer D

A stem and leaf plot is given below for the annual precipitation in one U.S. city for 28 consecutive years. Precipitation data are in inches. Identify the overall shape of the distribution. 0 9 1 1 4 2 2 0 2 0 3 3 0 1 4 7 2 8 3 2 4 1 3 4 8 7 5 1 7 4 8 6 3 6 7 1

A. bell-shaped B. left skewed C. right skewed D. uniform Answer A

If a histogram has a bar that is taller than the others then

A. the bar corresponds to the class interval containing the most observations. B. this is suggestive of a skewed distribution. C. the class interval for this bar should be shortened for the sake of symmetry. D. All of the above. Answer A

Which of the following is a technique for improving a stemplot with very few stems but many leaves?

A. using separate plots, one for each stem. B. splitting stems. C. merging stems. D. merging leaves. Answer B

If the following scores were placed in a stem and leaf display, how many leaves would be associated with a stem of 6?​ Scores: 26, 45, 62, 11, 21, 55, 66 64, 55, 46, 38, 41, 27, 29 36, 51, 32, 25, 34, 44, 59​

A. ​1 B. ​2 C. ​3 D. ​4 Answer C

For the following distribution, how many people had scores less than X = 20?​ X f 20-25 2 15-19 5 10-14 4 5-9 1

A. ​5 B. ​10 C. ​11 D. ​12 Answer B

For the following distribution, how many people had scores greater than X = 14?​ X f 20-25 2 15-19 5 10-14 4 5-9 1

A. ​5 B. ​7 C. ​10 D. ​11 Answer B

8 | 314 7 | 945 6 | 7042 5 | 68 4 | 14 For the scores shown in the accompanying stem and leaf display, Figure 2-3, what is the highest score in the distribution?​

A. ​8 B. ​83 C. ​84 D. ​7042 Answer C

What kind of frequency distribution graph shows the frequencies as bars that are separated by spaces?​

A. ​a bar graph B. ​a histogram C. ​a polygon D. ​a pie chart Answer A

What kind of frequency distribution graph shows the frequencies as bars, with no space between adjacent bars?​

A. ​a bar graph B. ​a histogram C. ​a polygon D. ​a pie chart Answer B

What term is used to describe the shape of a distribution in which the scores pile up on the left-hand side of the graph and taper off to the right?​

A. ​symmetrical B. ​positively skewed C. ​negatively skewed D. ​normal Answer B

It is customary to list the score categories in a frequency distribution from the highest down to the lowest.​

True False Answer True

IQ Scores: The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of each class is labeled above each rectangle. (a) How many students were sampled? (b) Determine the class width. (c) Which class has the highest frequency? (d) Which class has the lowest frequency?

A. (a) 200 (b) 160 (c) 100-109 (d) 150-159 B. (a) 70 (b) 10 (c) 110-119 (d) 150-159 C. (a) 200 (b) 10 (c) 100-109 (d) 150-159 D. (a) 58 (b) 160 (c) 150-159 (d) 100-109 Answer C

A physical therapist wants to get a sense of the types of rehabilitation required by her patients. To do so, she obtains a simple random sample of 30 of her patients and records the body part requiring rehabilitation. Compute the relative frequency the back , elbow and knee categories respectively

A. 0.45 , 0.0333 , 0.1667 B. 0.4 , 0.333 , 0.1667 C. 0.0333 , 0.1667,0.444 D. 0.4 , 0.0333 , 0.1667 Answer D

A grouped frequency distribution table lists one interval as, 20-29. The width of this interval is 9 points.

True False Answer False

When a data set is symmetric the mean is substantially larger than median

True/False Answer False

When a data set is skewed left the mean substantially smaller than median.

True/False Answer True

When a data set is skewed right the mean substantially larger than median.

True/False Answer True

When a data set is symmetric the mean is roughly equal to median a data

True/False Answer True