Everything Maths Grade 10

Exercise 10 – 5:

1.A group of 15 learners count the number of sweets they each have. This is the data they collect:

4 11 14 7 14 5 8 7

12 12 5 13 10 6 7

Calculate therangeof values in the data set.

2.A group of 10 learners count the number of playing cards they each have. This is the data they collect:

5 1 3 1 4 10 1 3 3 4

Calculate therangeof values in the data set.

3.Find the range of the following data set:

f1; 2; 3; 4; 4; 4; 5; 6; 7; 8; 8; 9; 10; 10g

4.What are the quartiles of this data set?

f3; 5; 1; 8; 9; 12; 25; 28; 24; 30; 41; 50g

5.A class of 12 learners writes a test and the results are as follows:

f20; 39; 40; 43; 43; 46; 53; 58; 63; 70; 75; 91g

Find the range, quartiles and the interquartile range.

6.Three sets of data are given:

Data set 1:f9; 12; 12; 14; 16; 22; 24g

Data set 2: f7; 7; 8; 11; 13; 15; 16g

Data set 3: f11; 15; 16; 17; 19; 22; 24g

For each data set find:

a) the range b)the lower quartile c) the median

d)the upper quartile e)the interquartile range f) the semi-interquartile range

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1.2GN5 2.2GN6 3.2GN7 4.2GN8 5.2GN9 6.2GNB

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10.5 Five number summary EMA7C

A common way of summarising the overall data set is with the five number summary and the box-and-whisker
plot. These two represent exactly the same information, numerically in the case of the five number summary
and graphically in the case of the box-and-whisker plot.

The five number summary consists of the minimum value, the maximum value and the three quartiles. Another
way of saying this is that the five number summary consists of the following percentiles: 0 th, 25 th, 50 th, 75 th,
100 th.

378 10.5. Five number summary