Exercise 12.1

Construct cumulative frequency column for following frequency table and give answers.

(i) What is the total number of items in the data?

(ii) In which class interval $8^{\mathrm{t}\mathrm{h}}$$8^{\mathrm{th}}$ item of the data lies?

(iii) What is number of items having worth less than 21?

(iv) Which group contains highest number of items?

(v) What is the lower boundary of the last class?

The mass gained by a newly born baby is given below:

Draw a cumulative frequency polygon (not ogive) to represent the data. Also find from the graph, how much he/she weighed at the age of 4 and half months?

The ages of refugees in Ghaza camp were recorded as below:

Draw an ogive (not polygon) to represent the data and Find

a) First quartile.

b) $7^{\mathrm{t}\mathrm{h}}$$7^{\mathrm{th}}$ decile.

c) ${60}^{\mathrm{t}\mathrm{h}}$$60^{\mathrm{th}}$ percentile.

Scores of a Hifz e Quran test were grouped into the following frequency distribution.

Draw a cumulative frequency table and cumulative frequency curve (ogive) and tell:

a) How many boys appeared in the test?

b) What is median score?

c) How many boys scored under median?

d) How many boys fell in first decile?

e) How many boys fell in ${30}^{\mathrm{t}\mathrm{h}}$$30^{\mathrm{th}}$ percentile?

f) If excellence award is to be given to boys falling in ${100}^{\mathrm{t}\mathrm{h}}$$100^{\mathrm{th}}$ percentile, how many boys got excellence award?

The masses measured to the nearest kg of 50 cubs are shown below:

(i) Construct a cumulative frequency table (ii) Construct a cumulative frequency polygon and estimate number of cubs above 77 kg. (iii) Construct a cumulative frequency curve and estimate number of cubs above 77 kg. (iv) Compare the results of (ii) & (iii)