Chapter 10.2, Problem 25PFA

a.

To determine

To calculate people have heights less than 72 in.

Answer to Problem 25PFA

7 people have height less than 72in.

Explanation of Solution

Given information:

A histogram of height of basketball players

Formula used: Graph reading.

Reading the graph,

Number of people with height 68-69in are,

4 people

Number of people with height 70-71in are,

3 people

Hence,

People with height less than 72 inches =frequency of class 68-69+frequency of class 70-71

  $=4+3$

On solving,

  $=7$

Hence, 7 people have height less than 72 inches.

b.

To determine

To find range with highest frequency

Answer to Problem 25PFA

72-73 has the height frequency.

Explanation of Solution

Given information:

A histogram of height of basketball players.

Formula used: Graph reading

Reading the graph,

The class 72-73 has the height frequency, that is, 6 people.

Hence, the range with highest frequency is.

72-73inch

c.

To determine

To find the percentage of height greater than 73 inches.

Answer to Problem 25PFA

35% of players have height greater than 73 inches

Explanation of Solution

Given information:

A histogram of height of basketball players.

Formula used: Graph reading

Percentage formula is,

  $percentage=\frac{x}{n}\times 100$

Calculation:

Reading the graph,

Number of people with height 74-75in are,

3 people

Number of people with height 76-77in are,

4 people

Hence,

People with height more than 73 inches (x) =frequency of class 74-75+frequency of class 76-77

  $=3+4$

On solving,

  $=7$

Total frequency (n) = sum of all frequency

  $n=4+3+6+3+4$

On solving,

  $n=20$

For percentage, substituting the values,

  $percentage=\frac{7}{20}\times 100$

On solving,

  $percentage=35$ %

Hence, 35% of the players have height greater than 73inches.