What is the mean of the data set given below if the outlier is ignored?

89, 83, 98, 61, 90, 87, 91, 79, 82, 96, 88

85.89

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80.27

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88.3

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Solution

The correct option is D 88.3
An outlier is a value in a data set that is either too small or too big compared to the other values of the same data set.

Since most of the data points in the given data set lie between 79 and 98, the outlier is 61.

$Mean = \frac{S u m o f a l l d a t a p o i n t s}{N u m b e r o f d a t a p o i n t s}$

Thus, mean without the outlier =
$\frac{89 + 83 + 98 + 90 + 87 + 91 + 79 + 82 + 96 + 88}{10} = 88.3$

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The marks obtained by 17 students a mathematics test (out of 100) are given below:
90, 79, 76, 82, 65, 96, 100, 91, 82, 100, 49, 46, 64, 48, 72, 66, 68.
Find the range of the above data.

Q. What is the mean of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 and 100??

The marks obtained by 10 students in a class are as follows, what is the probability that the average mark obtained by a student in the class is less than 70?(in decimals)

$\begin{matrix} Student & English & Hindi & Mathematics & Science 1 & 87 & 78 & 90 & 89 2 & 90 & 68 & 76 & 78 3 & 79 & 68 & 59 & 61 4 & 71 & 67 & 79 & 57 5 & 69 & 91 & 86 & 76 6 & 87 & 85 & 67 & 60 7 & 78 & 90 & 89 & 93 8 & 92 & 76 & 88 & 90 9 & 77 & 81 & 85 & 86 10 & 86 & 75 & 93 & 89 \end{matrix}$

___

73, 72, 58, 102, 84, 76, 82, 100, 70, 72, 81, 95, 105, 101, 63, 85, 82, 90, 54, 75, 92, 75, 84, 62, 85, 80, 52, 87, 91, 85, 80, 104, 106, 72, 57, 103, 78, 79, 91, 70, 108, 97, 88, 73, 67, 101, 96, 84, 53, 86

For the above data, prepare a grouped frequency distribution by inclusive ( non-over lapping) method taking 10 as the magnitude of class intervals

Q. The following temperatures were recorded (in

^{o} F

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$82$	$73$	$83$	$75$	$80$	$78$	$82$
$73$	$50$	$79$	$80$	$78$	$83$	$105$

The sum of outliers in the given dataset is .

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What is the mean of the data set given below if the outlier is ignored? 89, 83, 98, 61, 90, 87, 91, 79, 82, 96, 88

What is the mean of the data set given below if the outlier is ignored?

89, 83, 98, 61, 90, 87, 91, 79, 82, 96, 88