Page 209 - Maths Skills - 8

Data Handling 207

HOTS

1. The diameters of circles (in mm) drawn in a design are given below:

Diameters 33 – 37 37 – 41 41 – 45 45 – 49 49 – 53
No. of circles 10 15 25 20 35

Construct a histogram for the data.

2. Ravi notes the time when his bus has been coming for the last 11 days.

8:52 a.m. 8:48 a.m. 8:53 a.m. 8:59 a.m.
8:53 a.m. 8:49 a.m. 8:47 a.m. 8:46 a.m.

8:52 a.m. 8:57 a.m. 8:51 a.m.

If Ravi reaches his bus stop at 8:55, what is the probability that he has missed the bus?

3. What is the chance that an ordinary year selected at random will have 53 Sundays?

4. The following table shows the marks scored by a group of 90 students in a Mathematics test of 100 marks.
Find the probability that a student obtained:

(i) less than 20% marks.

(ii) 60 or more marks.

Marks 0 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 100

Number of students 7 10 10 20 20 15 8

Word Stock

Mean Graph Probability Outcomes Range Certainty Event
Loss Die Trial Playing Cards Rolling Arrange

Four categories of cards:

(i) Diamond (ii) Heart (iii) Spades (iv) Clubs

Three picture cards:

(i) Jack (ii) Queen (iii) King