00712-MWALA_LEARN-STATISTICS-SOLVING-FOREVER-2

Objectives: 00712-MWALA_LEARN-STATISTICS-SOLVING-FOREVER-2

Statistics Questions (Q3–Q5)

Answer the following questions:

3. A survey was made on 100 football matches. The total number of goals was recorded and a frequency table was constructed as follows:

GoalsFrequencyCumulative frequency
110100
101100
9099
8299
7597
6792
51085
41675
31259
21747
11530
0515

(a) Complete the cumulative frequency column.
(b) How many matches recorded less than 7 goals?
(c) How many matches recorded at least 6 goals?
(d) How many matches recorded between 4 and 7 goals?

4. The cumulative frequency graph below shows goals scored in one day by 54 football teams.

(a) How many teams scored less than 4 goals?
(b) How many teams scored less than 7 goals?

5. In a competition, 30 children had to pick up as many paper clips as possible in one minute. The results were as follows:

3, 17, 8, 11, 26, 23, 18, 28, 33, 38,
12, 38, 22, 50, 5, 35, 39, 30, 31, 43,
27, 34, 9, 25, 39, 14, 27, 16, 33, 49

Construct a frequency distribution table using intervals 1–10, 11–20, 21–30 and so on. Hence, draw a cumulative frequency curve.

IntervalFrequencyCumulative frequency
1 – 1044
11 – 2048
21 – 30614
31 – 40923
41 – 50730

Reference Book: N/A

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