Question

Twenty parents at the doctors were asked the age of their first child. The results are recorded below in a frequency table. Age of child 1 2 4 5 7 Frequency 4 5 3 2. 3 1 2 5. **Create a dot plot to represent the frequency of each car age. 0 5 6. 7 Age of First Child 6. **What is the mean age of the children? What is the median age? 7. Why are the median and mean different? 8. Is the doctor correct in stating that the average age of the children he saw that day was 5 years old.

Answer 1

Given,

The data of the first child age of 20 parents is,

Age of child 1 2 3 4 5 6 7

Frequncy 4 5 3 2 3 1 2

5) The dot plot of the data is,

This is the dot graph of the data.

6) The mean of the age of the 20 child is,

`\begin{gathered} \text{Mean}=(4*1+2*5+3*3+4*2+5*3+6*1+7*2)/(20) \\ \text{Mean}=(4+10+9+8+15+6+14)/(20) \\ \text{Mean}=(66)/(20) \\ \text{Mean}=3.3 \end{gathered}`

The madian of the 20 child is,

Hence, the mean of the data is 3.3 and median is 3.

7)This is left skewed distribution. so the mean of the data is more than the medain.

This is left skewed distribution. so the mean of the data is more than the medain.

8)No, docter is not correct in stating that the average age of the children he saw that day was 5 years old.​

No, docter is not correct