### Chap 16 Data Handling: Histograms - Let's interpret (1)

1. One bar is missing from the histogram. 6 students gets \$2 for pocket money daily. Most students get \$3 for pocket money daily. Equal number of students received \$1 and \$4 for pocket money daily. Less students gets \$5 for pocket money daily. The total amount of money received by the 33 students as pocket money daily is \$96. The average amount of money received by each students for pocket money is \$3.

2. One data bar is missing from the histogram, to get the data of it here is what we must do.

1)33-(7+8+7+5)= 6

The majority of the students collects \$3 for pocket money every day.

There is an equal amount of students who collect \$1 and \$4 for pocket money daily.

The minority of the students collects \$5 for pocket money every day.

The total amount of pocket money collected by all students is

(1x7)+(2x6)+(3x8)+(4x7)+(5x5) = \$96

The average amount of money received by each student is

\$96/31≈\$3

3. Interpret: One bar is missing from the histogram.
This Histogram shows the amount of pocket money each pupil gets.
However, after adding up the total number, it shows that there are only 27 pupils instead of the original number which is 33.
So, we can determine that the number of pupils which receive \$2 daily for their pocket money is 33 - 27 = 6.

\$(1x7)+\$(2x6)+\$(3x8)+\$(4x7)+\$(5x5) = \$96

4. One bar is missing from the histogram. The average amount each student get is \$3. The total is \$96

5. One bar is missing from the histogram above. After deducting 27 from 33, we can get the number of students who get \$2 daily for their pocket money, which is 6. The total amount is \$96.

6. Some information is missing from the histogram. Most students get \$3 a day

7. The information missing from the histogram has no frequency there = no one has that specific amount of pocket money

8. Data for the amount of \$2 is not recorded even though it should have some frequency as 33 students were asked and from the other 4 choices, there was only a frequency of 27. Thus, 6 students should have \$2 for their pocket money.

9. The number of students who have \$1 and \$4 for their pocket money are the same. The number of students who have \$3 for their pocket money is the greatest while the number of students who have \$5 for their pocket money is the lowest.

10. Most students have \$3 for their pocket money. There is an equal number of students who get \$1 and \$4 for their pocket money. The frequency for the amount of students who get \$2 is not recorded, as the total number of students recorded is 27, but 33 students were asked about their pocket money.

11. The number of students who receive \$2 pocket money is not recorded in this histogram. The number of students who receive \$1 and \$4 pocket money are the same.

12. There is a data missing in the histogram above which is that there are 6 students who get \$2 as their allowance.

The total number of students who were involved in the survey is 33 and the total amount of allowance is \$96. The average amount is \$2.91.

13. the data for students that have \$2 for pocket money is not collected. It should be 6 as the total so far is 27 but the actual total is 33. so:
33 - 27 = 6
Thus there should be a bar of 6 in the histogram.

14. There is data missing as the histogram only shows that there were only 27 students whereas it stated that there is a total of 33 students.

15. there is some information missing for the \$2 bar. The missing data is 6 students as the total is 33 students but the current total is 27. 33-27= 6

16. 7 students receive \$1 as pocket money daily. 8 students receive \$3 as pocket money daily. 7 students receive \$4 as pocket money daily. 5 students receive \$5 as pocket money daily. However as there are only 27 students counted in the histogram but there are 33 people who took the survey, there should be a missing bar, which should be 6 students receive \$2 as pocket money daily.

17. Daily, 7 students have \$1 as their pocket money, 6 students have \$2 as their pocket money, 3 students have \$8 as their pocket money, 4 students have \$7 as their pocket money, 5 students have \$5 as their pocket money. Realised that the second bar is missing, and since the title states "33 students", we take 33-27(which is the total amount) to get 6. Therefore 6 students have \$2 as their pocket money daily.

18. Most students receive \$3 as their pocket money daily, the equal number of students receive \$1 and \$4 daily, 6 students receive \$2 daily although it is not shown in the histogram. 5 students receive \$5 daily.

The average amount of money each student gets daily is \$3 (1 significant figure)

19. The most common amount of pocket money received is \$8