Building something that wasn’t even discovered then would be surely a time taking job. That hardware store owner agreed to lend Jack a decent room at the roof of his house in return of teaching his son Jacob mathematics.

Next evening, Jack started the topic- “Methods to find central tendency.” He taught Jacob arithmetic mean. When the tuition was over, Jacob said- “I think arithmetic mean is the only method to measure the central tendency of a set of observations.” Say true or false.

True

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False

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Solution

The correct option is B
False

False.

There are 3 methods to measure the central tendency of a given data set: Mean, Mode and Median.

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The storekeeper was very happy to get a solution to his problem. When Jack told this story to Jacob, he was so curious to know how Jack solved the problem of the storekeeper. Then Jack explained the concept of mode to Jacob.

Mode of a data set is-

When the time came, with a good luck note to Jacob, Jack left on his time machine. When the machine came out of the portal, it was all dark. He hid his time machine in an empty store room and fell asleep.

Next morning, he realized he was in a church. The church officials soon came in and took Jack to the Reverend’s (Head of the church) house. While Jack was waiting, he noticed a guy in the garden working a sum. When Jack took an overlook, it was a quest to find median of a data set. What is median?

“Did you understand?” Jack asked. At this, Jacob said, “I understood what mode is. Give me any question, I can find the mode of the observations.” Jack smiled at him and said- “Okay, I will give you a question and 3 hrs to solve it.” Jacob felt strange as for finding mode, 3 minutes would be enough, why was he given 3 hrs? Then Jack gave the problem:

What is the mode of the following set of observations?

$\begin{matrix} 9 & 13 & 5 & 9 & 6 & 9 & 9 & 17 & 13 & 11 & 12 & 13 & 19 13 & 0 & 9 & 13 & 21 & 7 & 13 & 7 & 17 & 9 & 0 & 7 & 11 \end{matrix}$

Set for future, landed in past! When Jack tried to look for the problem, he found something that made his day even worse. He didn’t bring the toolbox with him. Overconfidence can really be so bad! But he was sure that he will never find them in a forest. So, he decided to go looking for nearest city. Jack checked his encyclopedia for the places around. He found the following data:

$\begin{matrix} Name of the place & Distance (in kms) & Population Cottage & 9.5 & 4, 000 Arsenal & 9.5 & 1, 000 Britannia & 35.3 & 5, 000 \end{matrix}$

Jack analyzed the table carefully, hid his time machine under some tall bushes and started to go towards __.

Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacobs age was seven times that of his son. What are their present ages?

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The correct option is B False False. There are 3 methods to measure the central tendency of a given data set: Mean, Mode and Median.

The correct option is B
False

False.

There are 3 methods to measure the central tendency of a given data set: Mean, Mode and Median.