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S_A_V
1 month ago
13

44 students completed some homework and the histogram shows information about the times taken. Work out an estimate of the inter

quartile range. In your working you must show the lower and upper quartiles
Mathematics
1 answer:
tester [12.3K]1 month ago
6 0

1.4×5=7

0.8×10=8

1.4×10=14

1×15=15

15+14+8+7=44

44÷4=11

LQ of 44=11

LQ=10 minutes

11×3=33

UQ= 29 minutes

The Range is 19 minutes

Detailed breakdown:

Commence with the individual boxes. For determining the number of students in each category, calculate Frequency density × The difference in the category. (if it's 5-15, the difference is 10)

This results in the counts of students in each range.

Next, determine the LQ of 44, which is 11.

Then locate the 11th student's score; in this instance, it resides in the 5-15 range. 7 students have already surpassed it, with 8 in the 5-15 range. Hence, the 11th lies within the bounds of 5-15, making the middle 10.

Repeat this process for the UQ.

The interquartile range is calculated as UQ-LQ, yielding 29-10=19 minutes.

I hope this helps, though I'm not entirely sure if my explanation is coherent and I'm unclear on the terminology I've used for these categories.

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