Identifying the Mistake in Recording a Data Set using Mean

Q.

The data $6,4,3,8,9,12,13,9$ has mean $9$ (True or False)

1. True
2. False

Q. The temperature of a city was recorded for $5$ consecutive days as follows:


And the average mean was calculated, however later on, it was found that the temperature on day I was $26$ and not $22$.

With respect to the given information, choose the correct options.

1. The actual mean temperature will be less than the mean recorded with incorrect entry of temperature.
2. The actual mean temperture is ${26}^{\circ }C$
3. The actual and incorrect mean temperature is ${25.2}^{\circ }C$
4. The difference between actual mean temperature and incorrect mean temperature is ${0.8}^{\circ }C$.

Q. Allen was given a set of $7$ numbers and was asked to calculate the mean. She computed the value of mean as $14$. But later teacher informed her that she computed the wrong mean by taking $8$ in place of $6$ and asked her to obtain the correct mean. So, what will be the actual mean?

1. $14$
2. $13.71$
3. $16$
4. $12$

Q. A set of $4$ numbers was given as,


But while calculating the mean of this data, some of the students misread $1$ as $7$ and $6$ as $8$ and computed the mean.
What would be the actual mean if correct numbers were used to obtain the mean?

1. $9$
2. $8$
3. $7$
4. $8.5$

Q. The mean of 4 numbers was computed as 7, but it was later on found that 3 was misread as 8, The actual mean of this data is .