Question

If the median of a data is 110 and mean is 80, then find the value of mode.​

Answer 1

SOLUTION

GIVEN

• The median of a data is 110
• The mean is 80

TO DETERMINE

The value of mode

CONCEPT TO BE IMPLEMENTED

Mean :

In measure of central tendency mean is the most common measure.

For a given set of observations mean is the average value of a group of numbers.

It is obtained by adding up all the observations divide by the number of observations

Median :

Median is the middle most value of a set of observations when the samples are arranged in order of magnitudes ( Either in ascending or in descending)

Mode :

For a set of observations mode is defined to be the value ( or values) of the sample ( or samples) which will occur with maximum frequency.

Mean is based on all the observations and if one of the observation is changed, the mean will also change. On the other hand median and mode may remain unchanged even if a number of sample values be changed.

For symmetrical frequency distribution

Mean = Mode = Median

For asymmetrical frequency distribution

But for moderately asymmetrical distribution there is an approximate relation between them and it is given by

Mean - Mode = 3 ( Mean - Median)

∴ Mode = 3 × Median - 2 × Mean

EVALUATION

Mode = 3 × Median - 2 × Mean

$\implies \sf{Mode = (3 \times 110) - (2 \times 80)}$

$\implies \sf{Mode =330 - 160}$

$\implies \sf{Mode =170}$

FINAL ANSWER

The Mode of the given data = 170

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. The mode of data 3 4 5 2 8 6 4 7 9 3

https://brainly.in/question/30251116

2. If arithmetic mean is 15 and median is 17 then what will be the value of mode.

Obtain Median. X 10 20 30 40 Frequency...

https://brainly.in/question/25565007

Answer 2

Answer:

SOLUTION

SOLUTIONGIVEN

The median of a data is 110

The mean is 80

TO DETERMINE

The value of mode

CONCEPT TO BE IMPLEMENTED

Mean :

In measure of central tendency mean is the most common measure.

For a given set of observations mean is the average value of a group of numbers.

It is obtained by adding up all the observations divide by the number of observations

Median :

Median is the middle most value of a set of observations when the samples are arranged in order of magnitudes ( Either in ascending or in descending)

Mode :

For a set of observations mode is defined to be the value ( or values) of the sample ( or samples) which will occur with maximum frequency.

Mean is based on all the observations and if one of the observation is changed, the mean will also change. On the other hand median and mode may remain unchanged even if a number of sample values be changed.

For symmetrical frequency distribution

Mean = Mode = Median

For asymmetrical frequency distribution

But for moderately asymmetrical distribution there is an approximate relation between them and it is given by

Mean - Mode = 3 ( Mean - Median)

∴ Mode = 3 × Median - 2 × Mean

EVALUATION

Mode = 3 × Median - 2 × Mean

$\implies \sf{Mode = (3 \times 110) - (2 \times 80)}$

⟹Mode=(3×110)−(2×80)

$\implies \sf{Mode =330 - 160}$

⟹Mode=330−160

$\implies \sf{Mode =170}$

⟹Mode=170

FINAL ANSWER

The Mode of the given data = 170

━━━━━━━━━━━━━━━━

___________________________

Learn more from Brainly :-

1. The mode of data 3 4 5 2 8 6 4 7 9 3

https://brainly.in/question/30251116

2. If arithmetic mean is 15 and median is 17 then what will be the value of mode.

Obtain Median. X 10 20 30 40 Frequency...

https://brainly.in/question/25565007