Question

The line plots show the results of a survey of 12 boys and 12 girls about how many hours they spent reading for pleasure the previous week. Two line plots one above the other, both are labeled from zero to twelve by ones. The top line plot is labeled Boys with four Xs over five and one X over zero, two, three, four, ten, and twelve. The bottom line plot is labeled Girls with three Xs above eight, two Xs above three and four, and one X above two, six and seven. Select from the drop-down menus to complete each statement. The range . The mean .

Answer 1

Answer:

The range for boys is 0-12 and the mean is 5.1

The range for girls is 2-8 and the mean is 5.3

Step-by-step explanation:

Answer 2

Answer:

                  Boys         Girls

Range         12               6  

Mean           5.1              5.3

Step-by-step explanation:

The frequency table that can be made based on the information is:

Boys--

Time spent reading          Frequency

        0                                   1

         2                                  1

         3                                  1  

         4                                   1

         5                                   4

         10                                  1

         12                                   1  

Hence, the range for boys is:

Minimum value=0

Maximum value=12

Hence, Range=Maximum value-Minimum value

i.e. Range=12-0=12

Range=12

Also, Mean is given by:

$Mean=\dfrac{0+2+3+4+10+12+5\times 4}{10}\\\\Mean=\dfrac{51}{10}\\\\Mean=5.1$

Hence, Mean=5.1

Simialrly

for Girls--

    Time spent reading          Frequency

         2                                  1

         3                                  2

         4                                  2

         6                                  1

         7                                   1  

         8                                   3

Hence, Range is:

Minimum value=2

Maximum value=8

Range=8-2=6

Range=6

Mean is calculated as:

$Mean=\dfrac{2+3\times 2+4\times 2+6+7+8\times 3}{10}\\\\Mean=\dfrac{53}{10}\\\\Mean=5.3$

Hence, Mean=5.3