Question

the median and mode of the data 8,6,8,7,8,6,8,7,6

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Answer 1

★ Concept :-

• Mode is the frequency appearing number in the Data$.$

• Median is the middle number of the data ( After arranging in ascending order )

• Mean is the average. It can be done by dividing number of observations by sum of observations.

Answer :-

• Median :- 7
• Mode :- 8

Given :-

• Data :-

1. 8,6,8,7,8,6,8,7,6

To find :-

• Median.
• Mode.

Solution :-

★ Median :-

• To find the median, We need to arrange the given data in ascending order.

Now, 8,6,8,7,8,6,8,7,6

➛ 6,6,6,7,7,8,8,8,8

• 7 is the median of the data. Cause it is in the middle of the data after arranging in ascending order.

★ Mode :-

• To find mode, We need to count numbers. The The numbers which are more in the data is the mode of the data.

Now, 8,6,8,7,8,6,8,7,6

1. 6 - There are 3 6's in the given data.
2. 7 - There are 2 7's in the given data.
3. 8 - There are 4 8's in the given data.

• 8 is the mode of the data as it is more in number compared to other numbers in the data.

Answer 2

Given:-

.Data - 8,6,8,7,8,6,8,7,6

To Find:-

• Median
• Mode

Solution:-

Median:-

• To find the median we need to arrange in ascending order.

$\sf \implies8 \: 6 \: 8 \: 7 \: 8 \: 6 \: 8 \: 7 \: 6 \\ \\ \sf \implies6 \: 6 \: 6 \: 7 \: 7 \: 8 \: 8 \: 8 \: 8$

• 7 is the median of the data because it is in the middle of the data.

Mode:-

• If we want to find Mode we have to count numbers and the number which is more is the mode of the data.

$\sf \implies8 \: 6 \: 8 \: 7 \: 8 \: 6 \: 8 \: 7 \: 6$

• 6's digit contain 3 numbers.
• 7's digit contain 2 numbers.
• 8's digit contain 4 numbers.

• 8 is the mode of the data because it is more in number.