Sample QuestionsMean and Median (For Ungrouped Data Only) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The mean of $18, 24, 15, 2x + 1$ and $12$ is $21.$ Find the value of $x.$
View full solution →Find the mean of $8, 12, 16, 22, 10$ and $4.$ Find the resulting mean$,$ if each of the observations$,$ given above$, b:$ eincreased by $25\%$
View full solution →The median of observations $10, 11, 13, 17, x + 5, 20, 22, 24$ and $53 ($arranged in ascending order$)$ is $18;$ find the value of $x.$
View full solution →Find the median of:
$241, 243, 347, 350, 327, 299, 261, 292, 271, 258$ and $257$
View full solution →Find the median of: $25, 16, 26, 16, 32, 31, 19, 28$ and $35$
View full solution →The following observations have been arranged in ascending order. If the median of the data is $78,$ find the value of $x.44, 47, 63, 65, x + 13, 87, 93, 99, 110.$
View full solution →Find the mean of $8, 12, 16, 22, 10$ and $4.$ Find the resulting mean, if each of the observations, given above, be: decreased by $40\%$
View full solution →Find the mean of $8, 12, 16, 22, 10$ and $4$. Find the resulting mean, if the observations, given above, be: multipliedby $3$ and then divided by $2.$
View full solution →The average of n numbers $x_1, x_2, x_3…..x_n$ is $A.$ If $x_1$ is replaced by $( x+ \alpha )x_1, x_2,$ is replaced by $( x+ \alpha )x_2$ and so on.Find the new average.
View full solution →Find the mean of $8, 12, 16, 22, 10$ and $4.$ Find the resulting mean, if the observations, given above, be: divided by $2.$
View full solution →The mean of $x, x+2, x+4, x+6$ and $x+8$ is $11,$ find the mean of the first three observations.
View full solution →The following observations have been arranged in ascending order. If the median of these observations is $58,$ find the value of $x.24, 27, 43, 48, x - 1, x + 3, 68, 73, 80, 90.$
View full solution →Out of $10$ students, who appeared in a test, three secured less than $30$ marks and $3$ secured more than $75$ marks. The marks secured by the remaining $4$ students are $35, 48, 66$ and $40$. Find the median score of the whole group.
View full solution →In $10$ numbers, arranged in increasing order, the $7^{\text {th }}$ number is increased by $8$ , how much will the median be changed?
View full solution →The following data have been arranged in ascending order. If their median is $63,$ find the value of $x.34, 37, 53, 55, x, x + 2, 77, 83, 89$ and $100.$
View full solution →Find the mean and median of the data $: 35, 48, 92, 76, 64, 52, 51, 63$ and $71.$If $51$ is replaced by $66,$ what will be the new median?
View full solution →Find the mean of the following data: $30, 32, 24, 34, 26, 28, 30, 35, 33, 25.(i)$ Show that the sum of the deviations of all the given observations from the mean is zero.$(ii)$Find the median of the given data.
View full solution →The mean of $10$ numbers is $24$. If one number is included, the new mean is $25$. Find the included number.
View full solution →The mean of $6$ numbers is $42$. If one number is excluded, the mean of the remaining number is $45$. Find the excluded number.
View full solution →The heights $($in $cm)$ of the volleyball players from team $A$ and team $B$ were recorded as:Team $A:180, 178, 176, 181, 190, 175, 187;$Team $B:174, 175, 190, 179, 178, 185, 177;$Which team had a greater average height?Find the median of team $A$ and team $B.$
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