Q. 2.119 Clocking the Cheetah. Refer to t... [FREE SOLUTION]

Chapter 2: Q. 2.119 (page 75)

Clocking the Cheetah. Refer to the speed data given in Exercise $2.89$ .
a. Construct a table similar to Table $2.14$ for the data, based on the classes specified in Exercise 2.89. Interpret your results.
b. Construct an ogive for the data.

Short Answer

Expert verified

(a). The construct a table similar to table for the data is shown in figure.

Class	Frequency	Relative frequency
$52 - < 54$	$2$	$0.057$
$54 - < 56$	$5$	$0.143$
$56 - < 58$	$6$	$0.171$
$58 - < 60$	$8$	$0.229$
$60 - < 62$	$7$	$0.2$
$62 - < 64$	$3$	$0.086$
$64 - < 66$	$2$	$0.057$
$66 - < 68$	$1$	$0.029$
$68 - < 70$	$0$	$0$

$70 - < 72$	$0$	$0$
$72 - < 74$	$0$	$0$
$74 - < 76$	$1$	$0.029$
Total	$35$	$1$

(b) The construct an ogive for the data graph is shown in figure.

Step by step solution

Part (a) Step 1: Given Information

We have to refer the speed data given in exercise 2.89. Then construct a table similar to table $2.14$ for the data.

Part (a) Step 2: Explanation

Based on the outcome of the previous exercise,

Class	Frequency	Relative frequency
$52 - < 54$	$2$	$0.057$
$54 - < 56$	$5$	$0.143$
$56 - < 58$	$6$	$0.171$
$58 - < 60$	$8$	$0.229$
$60 - < 62$	$7$	$0.2$
$62 - < 64$	$3$	$0.086$
$64 - < 66$	$2$	$0.057$
$66 - < 68$	$1$	$0.029$
$68 - < 70$	$0$	$0$

$70 - < 72$	$0$	$0$
$72 - < 74$	$0$	$0$
$74 - < 76$	$1$	$0.029$
Total	$35$	$1$

Part (b) Step 1: Given Information

Given in the question to refer exercise 2.89. We have to construct an ogive for the data.

Part (b) Step 2: Explanation

The cumulative relative frequency is calculated by dividing the overall frequency of 35 by the cumulative frequency. Then

Lower class limit	Cumulative frequency	Cumulative relative frequency
$52$	$0$	$0$
$54$	$2$	$0.0571$
$56$	$7$	$0.2$
$58$	$13$	$0.3714$
$60$	$21$	$0.6$
$62$	$28$	$0.8$
$64$	$31$	$0.8857$
$66$	$33$	$0.9429$
$68$	$34$	$0.9714$

$70$	$34$	$0.9714$
$72$	$34$	$0.9714$
$74$	$34$	$0.9714$
$76$	$35$	$1$

Part (b) Step 3: Explanation

As indicated below, add the above points to the graphs and connect them with a straight line.

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91影视

Clocking the Cheetah. Refer to the speed data given in Exercise $2.89$ .
a. Construct a table similar to Table $2.14$ for the data, based on the classes specified in Exercise 2.89. Interpret your results.
b. Construct an ogive for the data.

Short Answer

Step by step solution

Part (a) Step 1: Given Information

Part (a) Step 2: Explanation

Part (b) Step 1: Given Information

Part (b) Step 2: Explanation

Part (b) Step 3: Explanation

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91影视

Clocking the Cheetah. Refer to the speed data given in Exercise 2.89.a. Construct a table similar to Table 2.14for the data, based on the classes specified in Exercise 2.89. Interpret your results.b. Construct an ogive for the data.

Short Answer

Step by step solution

Part (a) Step 1: Given Information

Part (a) Step 2: Explanation

Part (b) Step 1: Given Information

Part (b) Step 2: Explanation

Part (b) Step 3: Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Geometry

Decision Maths

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

Clocking the Cheetah. Refer to the speed data given in Exercise $2.89$ .
a. Construct a table similar to Table $2.14$ for the data, based on the classes specified in Exercise 2.89. Interpret your results.
b. Construct an ogive for the data.