A day full of math games & activities. Find one near you.

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.

Solution:

Given, the data is 16, 15, 16, 16, 8, 15, 17

Arranging the data in ascending order, we get

8, 15, 15, 16, 16, 16, 17

(a) We have to find the value which can be put in the data so that the mode remains the same.

A mode is defined as the value that has a higher frequency in a given set of data.

8, 17 occurs one time

15 occurs two times

16 occurs three times

We observe that 16 occurs more frequently

Mode = 16

When 15 is put in the data, the mode will change

Therefore, 8 or 17 can be put in the data so that the mode will remain the same.

(b) we have to find how many and which values must be put in to change the mode to 15.

We observe that 15 occurs 2 times.

The mode changes to 15, when 15 occurs at least 4 times.

Therefore, the value 15 must be put 2 times to change the mode to 15.

(c) we have to find the least number of data values that must be put in to change the mode to 17.

We observe that 17 occurs only one time

To change the mode to 17, the value 17 must occur at least 4 times

Therefore, the value 17 must be put in 3 three times to change the mode to 17.

✦ Try This: Observe the data and answer the questions that follow: 10, 12, 12, 10, 6, 10, 11. What is the least number of data values that must be put in to change the mode to 11? Name them

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 3

NCERT Exemplar Class 7 Maths Chapter 3 Problem 70

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

Summary:

Observe the data and answer the questions that follow: 16, 15, 16, 16, 8, 15, 17 (a) 8 or 17 can be put in the data so that the mode remains the same, (b) The value 15 must be put in 2 times to change the mode to 15, (c) The least number of data values that must be put in to change the mode to 17 is 3 times.

☛ Related Questions: