Answer :
To calculate the mean mark scored by the pupil and round it to one decimal place, follow these detailed steps:
1. List the marks obtained:
- The pupil scored the following marks: 42%, 78%, 30%, 58%, 66%, 52%, 50%, and 59%.
2. Sum the marks:
- Add all the marks together:
[tex]\( 42 + 78 + 30 + 58 + 66 + 52 + 50 + 59 \)[/tex].
- Calculate the sum step by step:
[tex]\[ \begin{align*} &42 + 78 = 120, \\ &120 + 30 = 150, \\ &150 + 58 = 208, \\ &208 + 66 = 274, \\ &274 + 52 = 326, \\ &326 + 50 = 376, \\ &376 + 59 = 435. \end{align*} \][/tex]
- The total sum of the marks is [tex]\( 435 \)[/tex].
3. Count the number of marks:
- There are 8 marks in total.
4. Calculate the mean:
- The mean is calculated by dividing the sum of the marks by the number of marks:
[tex]\[ \text{Mean} = \frac{\text{Sum of marks}}{\text{Number of marks}} = \frac{435}{8}. \][/tex]
- Perform the division:
[tex]\[ \frac{435}{8} = 54.375. \][/tex]
5. Round the mean to one decimal place:
- The mean value [tex]\( 54.375 \)[/tex], when rounded to one decimal place, is [tex]\( 54.4 \)[/tex].
Thus, the pupil's mean mark scored is 54.4% correct to one decimal place.
1. List the marks obtained:
- The pupil scored the following marks: 42%, 78%, 30%, 58%, 66%, 52%, 50%, and 59%.
2. Sum the marks:
- Add all the marks together:
[tex]\( 42 + 78 + 30 + 58 + 66 + 52 + 50 + 59 \)[/tex].
- Calculate the sum step by step:
[tex]\[ \begin{align*} &42 + 78 = 120, \\ &120 + 30 = 150, \\ &150 + 58 = 208, \\ &208 + 66 = 274, \\ &274 + 52 = 326, \\ &326 + 50 = 376, \\ &376 + 59 = 435. \end{align*} \][/tex]
- The total sum of the marks is [tex]\( 435 \)[/tex].
3. Count the number of marks:
- There are 8 marks in total.
4. Calculate the mean:
- The mean is calculated by dividing the sum of the marks by the number of marks:
[tex]\[ \text{Mean} = \frac{\text{Sum of marks}}{\text{Number of marks}} = \frac{435}{8}. \][/tex]
- Perform the division:
[tex]\[ \frac{435}{8} = 54.375. \][/tex]
5. Round the mean to one decimal place:
- The mean value [tex]\( 54.375 \)[/tex], when rounded to one decimal place, is [tex]\( 54.4 \)[/tex].
Thus, the pupil's mean mark scored is 54.4% correct to one decimal place.
