Question

Nadya put the data she collected during her survey in a table. Then she found the mean of each of the four rows of data. Population Data 2 4 5 4 5 2 4 2 4 3 4 3 2 4 4 3 4 4 3 2 Find the mean from each row of data. Between what values will the mean of the actual population be found? 3. 2 and 3. 4 3. 2 and 4 3. 4 and 4 3 and 4.

Answer 1

Table is a way to represent the data of the two or more variable.

• The mean of row 1 is 4.

• The mean of row 2 is 3.

• The mean of the row 3 is 3.4.

• The mean of the row 4 is 3.2.

All the means lies between 3 and 4. Thus the option 4 is the correct option.

How to read the data from the table?

Table is a way to represent the data of the two or more variable.

To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.

Given information-

The population date of Nadya's survey is,

Row 1-       2,  4,  5,  4,  5

Row 2-      2,  4,  2,  4,  3

Row 3-      4,  3,  2,  4,  4

Row 4-      3,  4,  4,  3,  2

Mean of the data is the average of values. The mean is the ratio of sum of all the values to the number of values,

• The mean of row 1.

Row 1-       2,  4,  5,  4,  5

$m=\dfrac{ 2+ 4+ 5+ 4+ 5}{5}\\m=\dfrac{20}{5}\\m=4$

The mean of the row 1 is 4.

• The mean of row 2.

Row 2-         2,  4,  2,  4,  3

$m=\dfrac{ 2+4+2+4+3}{5}\\m=3$

The mean of the row 2 is 3.

• The mean of row 3.

Row 3-        4,  3,  2,  4,  4

$m=\dfrac{ 4+3+2+4+4+}{5}\\m=3.4$

The mean of the row 3 is 3.4.

• The mean of row 4.

Row 4-       2,  4,  5,  4,  5

$m=\dfrac{ 3+4+4+3+2}{5}\\m=3.2$

The mean of the row 4 is 3.2.

Hence,

• The mean of row 1 is 4.
• The mean of row 2 is 3.
• The mean of the row 3 is 3.4.
• The mean of the row 4 is 3.2.

All the means lies between 3 and 4. Thus the option 4 is the correct option.

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