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Chapter 2: Q. 2.118 (page 75)

Residential Energy Consumption. Refer to the energy consumption data given in Exercise 2.84.

a. Construct a table similar to Table 2.14for the data, based on the classes specified in Exercise 2.84. Interpret your results.

b. Construct an ogive for the data.

Short Answer

Expert verified

(a) The table for the data is shown in figure

(b) Construct an ogive for the data graph is shown in.

Step by step solution

01

Part (a)  Step 1: Given Information 

Construct a table similar to Table 2.14 for the data, based on the classes.

02

Part (a) Step 2: Explanation 

Construct a table similar to Table for the data,

From the result of previous exercise,

03

Part (b) Step 3: Given Information 

Refer to the energy consumption data. Construct an ogive for the data.

04

Part (b) Step 4: Explanation 

The cumulative relative frequency is the cumulative frequency divided by total frequency of . Then,

05

Part (b) Step 5: Explanation 

Add the above points to the graphs and join them by a straight line as shown below,

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Most popular questions from this chapter

For quantitative data, we examined three types of grouping: single-value grouping, limit grouping, and cut point grouping. For each type of data given, decide which of these three grouping types is usually best, Explain your answers.

a. Continuous data displayed to one or more decimal places

b. Discrete data in which there are relatively few distinct observations

Population data.

For instance, consider the grouped days-to-maturity data given in Table 2.10(b) on page 57.

From that table, we see that the cumulative frequency of investments with a maturity period of less than 50day is 4(3+1)and, therefore, the cumulative relative frequency is0.1(4/40).

Table 2.14shows all cumulative information for the days-to-maturity data.

Cumulative information for days-to-maturity data.

a. Round each observation to the nearest year and then construct a stem-and-leaf diagram of the rounded data.

b. Truncate each observation by dropping the decimal part, and then construct a stem-and-leaf diagram of the truncated data.

c. Compare the stem-and-leaf diagrams that you obtained in parts (a) and (b).

M&Ms. In the article "Sweetening Statistics-What M&M's Can Teach Us" (Minitab Inc., August 2008), M. Paret and E. Martz discussed several statistical analyses that they performed on bags of M&Ms. The authors took a random sample of 30small bags of peanut M&Ms and obtained the following weights, in grams (g). Construct a stem-and-leaf diagram for these weights.

As mentioned, for relative-frequency polygons, we label the horizontal axis with class marks in limit grouping and class midpoints in cut point grouping. How do you think the horizontal axis is labeled in single-value grouping.
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