Videos
Terminology Consider the following graph types: histogram, relative-frequency graph, ogive. Match each type to the appropriate description:
(i) Shows cumulative frequency (or percent of data) falling at or below each upper class boundary in a frequency table
(ii) Shows number of data falling within each distinct class of a frequency table
(iii) Shows the relative frequency (or percent) of all data tailing within each class of a frequency table
(i)
The appropriate graph type to description..
Answer to Problem 1CR
Solution: The appropriate graph type to description is an Ogive graph.
Explanation of Solution
A cumulative frequency graph or Ogive is a line graph displaying the cumulative frequency of each class at its upper class boundary. The upper boundaries are marked on the horizontal axis, and the cumulative frequencies are marked on the vertical axis. The graph should start at (or just before) the lower boundary of the first class (where the cumulative frequency is zero), and end at the upper boundary of the last class. The graph should be increasing from left to right, and the points should be evenly spaced along the horizontal axis.
Hence, the graph type of description “Shows cumulative frequency (percent data) falling at or below upper-class boundary in a frequency table” is an Ogive graph.
(ii)
The appropriate graph type to description..
Answer to Problem 1CR
Solution: The appropriate graph type to description is histogram.
Explanation of Solution
A histogram is used to summarize discrete or continuous data. In other words, it provides a
Hence, the graph type of description “Shows number of data falling within each distinct class of a frequency table” is histogram.
(iii)
The appropriate graph type to description..
Answer to Problem 1CR
Solution: The appropriate graph type to description is relative-frequency graph.
Explanation of Solution
A relative-frequency graph is used to summarize discrete or continuous data. In other words, it provides a
Hence, the graph type of description “Shows relative frequency (or percent) all data falling within each class of a frequency table” is relative-frequency graph.
Want to see more full solutions like this?
Chapter 2 Solutions
Bundle: Understanding Basic Statistics, Loose-leaf Version, 8th + WebAssign Printed Access Card, Single-Term
- A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward
- 9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward10. Prove that, if (t)=1+0(12) as asf->> O is a characteristic function, then p = 1.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x ≤x≤x+h), h>0. (b) Is it true that Qx(ah) =aQx (h)?arrow_forward
- 3. Let X1, X2,..., X, be independent, Exp(1)-distributed random variables, and set V₁₁ = max Xk and W₁ = X₁+x+x+ Isk≤narrow_forward7. Consider the function (t)=(1+|t|)e, ER. (a) Prove that is a characteristic function. (b) Prove that the corresponding distribution is absolutely continuous. (c) Prove, departing from itself, that the distribution has finite mean and variance. (d) Prove, without computation, that the mean equals 0. (e) Compute the density.arrow_forward1. Show, by using characteristic, or moment generating functions, that if fx(x) = ½ex, -∞0 < x < ∞, then XY₁ - Y2, where Y₁ and Y2 are independent, exponentially distributed random variables.arrow_forward
- 1. Show, by using characteristic, or moment generating functions, that if 1 fx(x): x) = ½exarrow_forward1990) 02-02 50% mesob berceus +7 What's the probability of getting more than 1 head on 10 flips of a fair coin?arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x≤x≤x+h), h>0. = x (a) Show that Qx+b(h) = Qx(h).arrow_forward
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning