Page 301 - Start Up Mathematics_7

Exemplar Problems

1. The mean of three numbers is 40. All the three numbers are different natural numbers. If
lowest is 19, what could be highest possible number of the remaining two numbers?

(a) 81 (b) 40 (c) 100 (d) 71

2. The median of any data lies between the _________ and _________ observations.
3. The measures of central tendency may not lie between the maximum and minimum values
of data. (True/False)
4. Mean can never be a fraction. (True/False)

5. The range of the data 3, 7, 1, –2, 2, 6, –3, –5 would change if 8 was added to each value in
the data. (True/False)
6. The marks in a subject for 12 students are as follows:
31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29

For the given data, find the:
(a) range (b) mean (c) median (d) mode

7. Observe the data and answer the questions that follow:
16, 15, 16, 16, 8, 15, 17

(a) Which data value can be put in the data so that the mode remains the same?
(b) At least how many and which value(s) must be put in to change the mode to 15?

(c) What is the least number of data values that must be put in to change the mode to 17?
Name them.

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