A survey conducted on 20 households in a locality

Asked by admin @ 13/08/2021 in Math viewed by 334 People

A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household.

Family size 1-3 3-5 5-7 7-9 9-11
Number of families 7 8 2 2 1
Find the mode of this data.

Answered by admin @ 13/08/2021

Answer:

3.3

Step-by-step explanation:

Family size number of Families

1-3 7

3-5 8

5-7 2

7-9 2

9-11 1

Max frequency is 8 of group 3-5

Estimated mode = 3 + 2 * (8 - 7)/((8 - 7) + (8-2))

= 3 + 2 * 1/7

= 3 + 2/7

= 3.3

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