The stem-and-leaf plot shows how many pages a random sample of boys and girls read each week. What is the median for each data set?

The figure shows a stem-and-leaf plot for Boys and Girls. Stem column is shown in the middle and the leaf columns for Boys and Girls are shown on the left and on the right respectively. For stem as 5, there is 2 in the left column and 0 in the right column, for stem as 6, there are 4, 7, and 7 in the left column. For stem as 7, there are 5, 6, 8, and 9 in the left column and 3, 5, 6, and 9 in the right column. For 8 as stem, there is 4 in the left column and 0, 1, 1, and 3 in the right column. To the right of this plot it is labeled 5 as stem and 2 and 0 on the left and right respectively, equals 52 and 50.

A.
The median for boys is 57 and the median for girls is 75.

B.
he median for boys is 57 and the median for girls is 67.

C.
The median for boys is 75 and the median for girls is 79.

D.
The median for boys is 75 and the median for girls is 75.

Respuesta :

Answer:

B

Step-by-step explanation:

For the stem and leaf provided, the the median for boys is 75 and the median for girls is 79.

What is stem and leaf plot of the data?

The stem and leaf plot of the data is the representation of data in the tabular form. In stem and leaf plot of the data the stem is shown left side and leaf shows right side of the table.

The figure shows a stem-and-leaf plot for Boys and Girls. Stem column is shown in the middle and the leaf columns for Boys and Girls are shown on the left and on the right respectively.

  • For stem as 5, there is 2 in the left column and 0 in the right column, for stem as 6, there are 4, 7, and 7 in the left column.
  • For stem as 7, there are 5, 6, 8, and 9 in the left column and 3, 5, 6, and 9 in the right column.
  • For 8 as stem, there is 4 in the left column and 0, 1, 1, and 3 in the right column.

This data can be tabulated as,

  • Boys        Stem        Girls
  •  2               5              0
  • 4, 7, 7         6            
  • 5, 6, 8, 9     7          3, 5, 6, 9
  • 4                 8          0, 1, 1, 3

To the right of this plot it is labeled 5 as stem and 2 and 0 on the left and right respectively, equals 52 and 50. The values of the boys are,

[tex]52.64.67.67.75.76.78.79.84[/tex]

Here the center value of the data is 75. Thus, the median for boys is 75.

The values of the girls are,

[tex]50,73,75,76,79,80,81,81,83[/tex]

Here the center value of the data is 79. Thus, the median for girls is 79.

Hence, for the stem and leaf provided, the the median for boys is 75 and the median for girls is 79.

Learn more about the stem and leaf plot here;

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