Chapter 12, Problem 5CT

To determine

To graph: the frequency table and histogram that represent the times taken by racer.

Answer to Problem 5CT

Among $14$ only $7$ people who covered $400$ m in $56-60$ and Only $2$ reach fastest at $51-55$ .

Explanation of Solution

Given:

Time taken by racer:

  $58,54,63,56,60,58,72,61,60,59,57,52,66,68$ .

Concept used:

Class Interval should be same or uniform.

To calculated the frequency easily first make the given data either in increasing or in decreasing.

Calculation:

Divide the data into intervals, the minimum is $52$ and the maximum here is $72$ .

Divide the data into $5$ intervals.

Race time in second	Frequency
$51-55$	$2$
$56-60$	$7$
$60-65$	$2$
$66-70$	$2$
$71-75$	$1$

Draw and label the axes. Draw a bar to represent the frequency of each interval.

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Hence, Among $14$ only $7$ people who covered $400$ m in $56-60$ and Only $2$ reach fastest at $51-55$ .